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* Definition of Lorene classes Ope_elementary
*
*/
/*
* Copyright (c) 2003 Philippe Grandclement
*
* This file is part of LORENE.
*
* LORENE is free software; you can redistribute it and/or modify
* it under the terms of the GNU General Public License version 2
* as published by the Free Software Foundation.
*
* LORENE is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with LORENE; if not, write to the Free Software
* Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
*
*/
#ifndef __OPE_ELEMENTARY_H_
#define __OPE_ELEMENTARY_H_
/*
* $Id: ope_elementary.h,v 1.12 2014/10/13 08:52:36 j_novak Exp $
* $Log: ope_elementary.h,v $
* Revision 1.12 2014/10/13 08:52:36 j_novak
* Lorene classes and functions now belong to the namespace Lorene.
*
* Revision 1.11 2007/05/06 10:48:08 p_grandclement
* Modification of a few operators for the vorton project
*
* Revision 1.10 2007/04/24 09:04:11 p_grandclement
* Addition of an operator for the vortons
*
* Revision 1.9 2004/12/23 16:30:14 j_novak
* New files and class for the solution of the rr component of the tensor Poisson
* equation.
*
* Revision 1.8 2004/08/24 09:14:40 p_grandclement
* Addition of some new operators, like Poisson in 2d... It now requieres the
* GSL library to work.
*
* Also, the way a variable change is stored by a Param_elliptic is changed and
* no longer uses Change_var but rather 2 Scalars. The codes using that feature
* will requiere some modification. (It should concern only the ones about monopoles)
*
* Revision 1.7 2004/06/22 08:49:57 p_grandclement
* Addition of everything needed for using the logarithmic mapping
*
* Revision 1.6 2004/06/14 15:07:10 j_novak
* New methods for the construction of the elliptic operator appearing in
* the vector Poisson equation (acting on eta).
*
* Revision 1.5 2004/05/10 15:28:21 j_novak
* First version of functions for the solution of the r-component of the
* vector Poisson equation.
*
* Revision 1.4 2004/03/23 14:54:45 j_novak
* More documentation
*
* Revision 1.3 2004/03/09 09:15:11 p_grandclement
* Correction pour le raccord...
*
* Revision 1.2 2004/03/05 09:18:48 p_grandclement
* Addition of operator sec_order_r2
*
* Revision 1.1 2003/12/11 14:57:00 p_grandclement
* I had forgotten the .h (sorry folks...)
*
* Revision 1.2 2001/12/11 06:44:41 e_gourgoulhon
*
* $Header: /cvsroot/Lorene/C++/Include/ope_elementary.h,v 1.12 2014/10/13 08:52:36 j_novak Exp $
*
*/
#include "matrice.h"
namespace Lorene {
/**
* Basic class for elementary elliptic operators.
*
* Such objects describe a type of elliptic operator, in a given domain and
* for a given spherical harmonics.
* They are called by the general elliptic solver. \c Ope_elementary
* objects
* know how to compute the approriate particular solution for a given source
* and the associated homogeneous ones.
*
* The class \c Ope_elementary is an abstract one:
* it cannot be instanciated.
* Specific implementation of coordinate mappings will be performed by derived
* classes of \c Ope_elementary . \ingroup (ellip)
*
**/
class Ope_elementary {
protected:
int nr ; ///< Number of radial points
int base_r ; ///< Radial basis of decomposition
double alpha ; ///< Parameter \f$\alpha\f$ of the associated mapping.
double beta ; ///< Parameter \f$\beta\f$ of the associated mapping.
/**
* Pointer on the matrix representation of the operator.
**/
mutable Matrice* ope_mat ;
/**
* Pointer on the banded-matrix of the operator.
**/
mutable Matrice* ope_cl ;
/**
* Pointer on the non-degenerated matrix of the operator.
**/
mutable Matrice* non_dege ;
/**
* Value of the first homogeneous solution at the outer boundary.
**/
mutable double s_one_plus ;
/**
* Value of the first homogeneous solution at the inner boundary.
**/
mutable double s_one_minus ;
/**
* Value of the derivative of the
* first homogeneous solution at the outer boundary.
**/
mutable double ds_one_plus ;
/**
* Value of the derivative of the
* first homogeneous solution at the inner boundary.
**/
mutable double ds_one_minus ;
/**
* Value of the second homogeneous solution at the outer boundary.
**/
mutable double s_two_plus ;
/**
* Value of the second homogeneous solution at the inner boundary.
**/
mutable double s_two_minus ;
/**
* Value of the derivative of the
* second homogeneous solution at the outer boundary.
**/
mutable double ds_two_plus ;
/**
* Value of the derivative of the
* second homogeneous solution at the inner boundary.
**/
mutable double ds_two_minus ;
/**
* Value of the particular solution at the inner boundary.
**/
mutable double sp_minus ;
/**
* Value of the particular solution at the outer boundary.
**/
mutable double sp_plus ;
/**
* Value of the derivative of the particular solution at the inner boundary.
**/
mutable double dsp_minus ;
/**
* Value of the derivative of the particular solution at the outer boundary.
**/
mutable double dsp_plus ;
// Constructors destructor
protected:
/**
* Standard constructor, protected because the class is an abstract one.
*
* @param nbr [input] number of radial points.
* @param baser [input] radial basis of decomposition.
* @param alf [input] parameter \f$\alpha\f$ of the mapping.
* @param bet [input] parameter \f$\beta\f$ of the mapping.
**/
explicit Ope_elementary (int nbr , int baser , double alf, double eta) ;
Ope_elementary (const Ope_elementary&) ; ///< Constructor by copy
public:
virtual ~Ope_elementary() ; ///< Destructor
public:
/**
* Returns the value of the first homogeneous solution at the inner
* boundary.
**/
double val_sh_one_minus() const {return s_one_minus ;} ;
/**
* Returns the value of the first homogeneous solution at the outer
* boundary.
**/
double val_sh_one_plus() const {return s_one_plus ;} ;
/**
* Returns the value of the derivative of the
* first homogeneous solution at the inner
* boundary.
**/
double der_sh_one_minus() const {return ds_one_minus ;} ;
/**
* Returns the value of the derivative of the
* first homogeneous solution at the outer
* boundary.
**/
double der_sh_one_plus() const {return ds_one_plus ;} ;
/**
* Returns the value of the second homogeneous solution at the inner
* boundary.
**/
double val_sh_two_minus() const {return s_two_minus ;} ;
/**
* Returns the value of the second homogeneous solution at the outer
* boundary.
**/
double val_sh_two_plus() const {return s_two_plus ;} ;
/**
* Returns the value of the derivative of the
* second homogeneous solution at the inner
* boundary.
**/
double der_sh_two_minus() const {return ds_two_minus ;} ;
/**
* Returns the value of the derivative of the
* second homogeneous solution at the outer
* boundary.
**/
double der_sh_two_plus() const {return ds_two_plus ;} ;
/**
* Returns the value of the particular solution at the inner boundary.
**/
double val_sp_minus() const {return sp_minus ;} ;
/**
* Returns the value of the particular solution at the outer boundary.
**/
double val_sp_plus() const {return sp_plus ;} ;
/**
* Returns the value of the derivative
* particular solution at the inner boundary.
**/
double der_sp_minus() const {return dsp_minus ;} ;
/**
* Returns the value of the derivative
* particular solution at the outer boundary.
**/
double der_sp_plus() const {return dsp_plus ;} ;
/// Returns \c alpha .
double get_alpha() const {return alpha ;} ;
/// Returns \c beta}.
double get_beta() const {return beta ;} ;
/// Returns \c base_r}.
int get_base_r() const {return base_r ;} ;
/// Returns the matrix representation.
Matrice get_ope_mat() {
if (ope_mat ==0x0)
do_ope_mat() ;
return *ope_mat ;
}
/// Returns the banded matrix representation.
Matrice get_ope_cl() {
if (ope_cl ==0x0)
do_ope_cl() ;
return *ope_cl ;
}
/// Returns the non degenerate matrix representation.
Matrice get_non_dege() {
if (non_dege ==0x0)
do_non_dege() ;
return *non_dege ;
}
private:
/**
* Computes the matrix of the operator.
**/
virtual void do_ope_mat() const = 0 ;
/**
* Computes the banded-matrix of the operator.
**/
virtual void do_ope_cl() const = 0 ;
/**
* Computes the non-degenerated matrix of the operator.
**/
virtual void do_non_dege() const = 0 ;
public:
/**
* Computes the particular solution, given the source \c so .
**/
virtual Tbl get_solp(const Tbl& so) const = 0 ;
/**
* Computes the homogeneous solutions(s).
**/
virtual Tbl get_solh() const = 0 ;
/**
* Increases the quatum number \e l by one unit.
**/
virtual void inc_l_quant() = 0 ;
} ;
/**
* Class for the operator of the Poisson equation (i.e. the Laplacian !).
*
* It is implemented in every type of domains.
**/
class Ope_poisson : public Ope_elementary {
protected:
int l_quant ; ///< quantum number
int dzpuis ; ///< the associated dzpuis, if in the compactified domain.
public:
/**
* Standard constructor.
*
* @param nbr [input] number of radial points.
* @param baser [input] radial basis of decomposition.
* @param alf [input] parameter \f$\alpha\f$ of the mapping.
* @param bet [input] parameter \f$\beta\f$ of the mapping.
* @param lq [input] quantum number \e l .
* @param dz [input] dzpuis of the source.
**/
Ope_poisson (int nbr, int baser, double alf, double bet, int lq, int dz) ;
Ope_poisson (const Ope_poisson&) ; ///< Constructor by copy
virtual ~Ope_poisson() ; ///< Destructor
/// Returns the associated dzpuis, if in the compactified domain.
int get_dzpuis() {return dzpuis ;} ;
/// Returns the quantum number \e l
int get_lquant() {return l_quant;} ;
private:
/**
* Computes the matrix of the operator.
**/
virtual void do_ope_mat() const ;
/**
* Computes the banded-matrix of the operator.
**/
virtual void do_ope_cl() const ;
/**
* Computes the non-degenerated matrix of the operator.
**/
virtual void do_non_dege() const ;
public:
/**
* Computes the particular solution, given the source \c so .
**/
virtual Tbl get_solp(const Tbl& so) const ;
/**
* Computes the homogeneous solutions(s).
**/
virtual Tbl get_solh() const ;
/**
* Increases the quatum number \e l by one unit.
**/
virtual void inc_l_quant() ;
/**
* Decreases the quatum number \e l by one unit.
**/
virtual void dec_l_quant() ;
} ;
/**
* Class for the Helmholtz operator \f$\Delta - m^2\f$ (\f$m > 0\f$).
*
* It is implemented only in the shells and in the compactified domain.
**/
class Ope_helmholtz_minus : public Ope_elementary {
protected:
int lq ; ///< The quantum number \e l
double masse ; ///< The mass parameter \e m .
public:
/**
* Standard constructor.
*
* @param nbr [input] number of radial points.
* @param baser [input] radial basis of decomposition.
* @param lq [input] the quatum number \e l.
* @param alf [input] parameter \f$\alpha\f$ of the mapping.
* @param bet [input] parameter \f$\beta\f$ of the mapping.
* @param mas [input] mass parameter \e m .
**/
Ope_helmholtz_minus (int nbr, int baser, int lq, double alf, double bet,
double mas) ;
Ope_helmholtz_minus (const Ope_helmholtz_minus&) ; ///< Constructor by copy
virtual ~Ope_helmholtz_minus() ; ///< Destructor
private:
/**
* Computes the matrix of the operator.
**/
virtual void do_ope_mat() const ;
/**
* Computes the banded-matrix of the operator.
**/
virtual void do_ope_cl() const ;
/**
* Computes the non-degenerated matrix of the operator.
**/
virtual void do_non_dege() const ;
public:
/**
* Computes the particular solution, given the source \c so .
**/
virtual Tbl get_solp(const Tbl& so) const ;
/**
* Computes the homogeneous solutions(s).
**/
virtual Tbl get_solh() const ;
/**
* Increases the quatum number \e l by one unit (CURRENTLY NOT IMPLEMENTED)
**/
virtual void inc_l_quant() ;
} ;
/**
* Class for the Helmholtz operator \f$\Delta + m^2\f$ (\e m > 0).
*
* It is implemented only in the shells.
**/
class Ope_helmholtz_plus : public Ope_elementary {
protected:
int lq ; ///< The quantum number \e l
double masse ; ///< The mass parameter \e m .
public:
/**
* Standard constructor.
*
* @param nbr [input] number of radial points.
* @param baser [input] radial basis of decomposition.
* @param lq [input] the quatum number \e l.
* @param alf [input] parameter \f$\alpha\f$ of the mapping.
* @param bet [input] parameter \f$\beta\f$ of the mapping.
* @param mas [input] mass parameter \e m .
**/
Ope_helmholtz_plus (int nbr, int baser, int lq, double alf, double bet,
double mas) ;
Ope_helmholtz_plus (const Ope_helmholtz_plus&) ; ///< Constructor by copy
virtual ~Ope_helmholtz_plus() ; ///< Destructor
private:
/**
* Computes the matrix of the operator.
**/
virtual void do_ope_mat() const ;
/**
* Computes the banded-matrix of the operator.
**/
virtual void do_ope_cl() const ;
/**
* Computes the non-degenerated matrix of the operator.
**/
virtual void do_non_dege() const ;
public:
/**
* Computes the particular solution, given the source \c so .
**/
virtual Tbl get_solp(const Tbl& so) const ;
/**
* Computes the homogeneous solutions(s).
**/
virtual Tbl get_solh() const ;
/**
* Increases the quatum number \e l by one unit (CURRENTLY NOT IMPLEMENTED)
**/
virtual void inc_l_quant() ;
} ;
/**
* Class for operator of the type
* \f$ a r^2 \partial^2 / \partial r^2 + b r \partial / \partial r + c\f$.
*
* It is implemented only in the shells.
**/
class Ope_sec_order_r2 : public Ope_elementary {
protected:
double a_param ; ///< The parameter \e a .
double b_param ; ///< The parameter \e b .
double c_param ; ///< The parameter \e c .
public:
/**
* Standard constructor.
*
* @param nbr [input] number of radial points.
* @param baser [input] radial basis of decomposition.
* @param alf [input] parameter \f$\alpha\f$ of the mapping.
* @param bet [input] parameter \f$\beta\f$ of the mapping.
* @param a [input] parameter \e a .
* @param b [input] parameter \e b .
* @param c [input] parameter \e c .
**/
Ope_sec_order_r2 (int nbr, int baser, double alf, double bet,
double a, double b, double c) ;
Ope_sec_order_r2 (const Ope_sec_order_r2&) ; ///< Constructor by copy
virtual ~Ope_sec_order_r2() ; ///< Destructor
private:
/**
* Computes the matrix of the operator.
**/
virtual void do_ope_mat() const ;
/**
* Computes the banded-matrix of the operator.
**/
virtual void do_ope_cl() const ;
/**
* Computes the non-degenerated matrix of the operator.
**/
virtual void do_non_dege() const ;
public:
/**
* Computes the particular solution, given the source \c so .
**/
virtual Tbl get_solp(const Tbl& so) const ;
/**
* Computes the homogeneous solutions(s).
**/
virtual Tbl get_solh() const ;
/**
* Increases the quatum number \e l by one unit (CURRENTLY NOT IMPLEMENTED)
**/
virtual void inc_l_quant() ;
} ;
/**
* Class for operator of the type
* \f$ a \partial^2 / \partial r^2 + b \partial / \partial r + c\f$.
*
* It is implemented only in the shells.
**/
class Ope_sec_order : public Ope_elementary {
protected:
double a_param ; ///< The parameter \f$a\f$.
double b_param ; ///< The parameter \f$b\f$.
double c_param ; ///< The parameter \f$c\f$.
public:
/**
* Standard constructor.
*
* @param nbr [input] number of radial points.
* @param baser [input] radial basis of decomposition.
* @param alf [input] parameter \f$\alpha\f$ of the mapping.
* @param bet [input] parameter \f$\beta\f$ of the mapping.
* @param a [input] parameter \f$a\f$ .
* @param b [input] parameter \f$b\f$ .
* @param c [input] parameter \f$c\f$ .
**/
Ope_sec_order (int nbr, int baser, double alf, double bet,
double a, double b, double c) ;
Ope_sec_order (const Ope_sec_order&) ; ///< Constructor by copy
virtual ~Ope_sec_order() ; ///< Destructor
private:
/**
* Computes the matrix of the operator.
**/
virtual void do_ope_mat() const ;
/**
* Computes the banded-matrix of the operator.
**/
virtual void do_ope_cl() const ;
/**
* Computes the non-degenerated matrix of the operator.
**/
virtual void do_non_dege() const ;
public:
/**
* Computes the particular solution, given the source \c so .
**/
virtual Tbl get_solp(const Tbl& so) const ;
/**
* Computes the homogeneous solutions(s).
**/
virtual Tbl get_solh() const ;
/**
* Increases the quatum number \f$l\f$ by one unit (CURRENTLY NOT IMPLEMENTED)
**/
virtual void inc_l_quant() ;
} ;
/**
* Class for the operator of the \e r component of the vector
* Poisson equation. The operator reads \f$\Delta + \frac{2}{r}
*\frac{\partial}{\partial r}
* + \frac{2}{r^2} \f$ in all domains, for \f$ l \not= 0 \f$; and to
* \f$\frac{\partial^2}{\partial r^2} + \frac{2}{r} \frac{\partial}
* {\partial r} - \frac{2}{r^2} \f$
* in all domains otherwise.
*
* It is implemented in every type of domain.
**/
class Ope_pois_vect_r : public Ope_poisson {
public:
/**
* Standard constructor.
*
* @param nbr [input] number of radial points.
* @param baser [input] radial basis of decomposition.
* @param alf [input] parameter \f$\alpha\f$ of the mapping.
* @param bet [input] parameter \f$\beta\f$ of the mapping.
* @param lq [input] quantum number \e l .
* @param dz [input] dzpuis of the source.
**/
Ope_pois_vect_r (int nbr, int baser, double alf, double bet, int lq, int dz) ;
Ope_pois_vect_r (const Ope_pois_vect_r&) ; ///< Constructor by copy
virtual ~Ope_pois_vect_r() ; ///< Destructor
private:
/**
* Computes the matrix of the operator.
**/
virtual void do_ope_mat() const ;
/**
* Computes the banded-matrix of the operator.
**/
virtual void do_ope_cl() const ;
/**
* Computes the non-degenerated matrix of the operator.
**/
virtual void do_non_dege() const ;
public:
/**
* Computes the homogeneous solutions(s).
**/
virtual Tbl get_solh() const ;
} ;
/**
* Class for the operator of the \e rr component of the divergence-free
* tensor Poisson equation. The operator reads \f$\Delta + \frac{4}{r}
*\frac{\partial}{\partial r}
* + \frac{6}{r^2} \f$ in all domains, for \f$l \geq 2\f$.
*
* It is implemented in every type of domain.
**/
class Ope_pois_tens_rr : public Ope_poisson {
public:
/**
* Standard constructor.
*
* @param nbr [input] number of radial points.
* @param baser [input] radial basis of decomposition.
* @param alf [input] parameter \f$\alpha\f$ of the mapping.
* @param bet [input] parameter \f$\beta\f$ of the mapping.
* @param lq [input] quantum number \e l .
* @param dz [input] dzpuis of the source.
**/
Ope_pois_tens_rr (int nbr, int baser, double alf, double bet, int lq, int dz) ;
Ope_pois_tens_rr (const Ope_pois_tens_rr&) ; ///< Constructor by copy
virtual ~Ope_pois_tens_rr() ; ///< Destructor
private:
/**
* Computes the matrix of the operator.
**/
virtual void do_ope_mat() const ;
/**
* Computes the banded-matrix of the operator.
**/
virtual void do_ope_cl() const ;
/**
* Computes the non-degenerated matrix of the operator.
**/
virtual void do_non_dege() const ;
public:
/**
* Computes the homogeneous solutions(s).
**/
virtual Tbl get_solh() const ;
} ;
/**
* Class for the operator of the Poisson equation in 2D.
*
* It is implemented in every type of domains.
**/
class Ope_poisson_2d : public Ope_elementary {
protected:
int l_quant ; ///< quantum number
int dzpuis ; ///< the associated dzpuis, if in the compactified domain.
public:
/**
* Standard constructor.
*
* @param nbr [input] number of radial points.
* @param baser [input] radial basis of decomposition.
* @param alf [input] parameter \f$\alpha\f$ of the mapping.
* @param bet [input] parameter \f$\beta\f$ of the mapping.
* @param lq [input] quantum number \e l .
* @param dz [input] dzpuis of the source.
**/
Ope_poisson_2d (int nbr, int baser, double alf, double bet, int lq, int dz) ;
Ope_poisson_2d (const Ope_poisson_2d&) ; ///< Constructor by copy
virtual ~Ope_poisson_2d() ; ///< Destructor
/// Returns the associated dzpuis, if in the compactified domain.
int get_dzpuis() {return dzpuis ;} ;
/// Returns the quantum number \e l
int get_lquant() {return l_quant;} ;
private:
/**
* Computes the matrix of the operator.
**/
virtual void do_ope_mat() const ;
/**
* Computes the banded-matrix of the operator.
**/
virtual void do_ope_cl() const ;
/**
* Computes the non-degenerated matrix of the operator.
**/
virtual void do_non_dege() const ;
public:
/**
* Computes the particular solution, given the source \c so .
**/
virtual Tbl get_solp(const Tbl& so) const ;
/**
* Computes the homogeneous solutions(s).
**/
virtual Tbl get_solh() const ;
/**
* Increases the quatum number \e l by one unit.
**/
virtual void inc_l_quant() ;
/**
* Decreases the quatum number \e l by one unit.
**/
virtual void dec_l_quant() ;
} ;
/**
* Class for the operator of the Helmholtz equation in 2D.
*
**/
class Ope_helmholtz_minus_2d : public Ope_elementary {
protected:
int l_quant ; ///< quantum number
double masse ; ///< The mass term.
int dzpuis ; ///< the associated dzpuis, if in the compactified domain.
public:
/**
* Standard constructor.
*
* @param nbr [input] number of radial points.
* @param baser [input] radial basis of decomposition.
* @param alf [input] parameter \f$\alpha\f$ of the mapping.
* @param bet [input] parameter \f$\beta\f$ of the mapping.
* @param lq [input] quantum number \e l .
* @param masse [input] mass term.
* @param dz [input] dzpuis of the source.
**/
Ope_helmholtz_minus_2d (int nbr, int baser, double alf, double bet, int lq, double masse, int dz) ;
Ope_helmholtz_minus_2d (const Ope_helmholtz_minus_2d&) ; ///< Constructor by copy
virtual ~Ope_helmholtz_minus_2d() ; ///< Destructor
/// Returns the associated dzpuis, if in the compactified domain.
int get_dzpuis() {return dzpuis ;} ;
/// Returns the quantum number \e l
int get_lquant() {return l_quant;} ;
/// Returns the mass term
double get_masse() {return masse;} ;
private:
/**
* Computes the matrix of the operator.
**/
virtual void do_ope_mat() const ;
/**
* Computes the banded-matrix of the operator.
**/
virtual void do_ope_cl() const ;
/**
* Computes the non-degenerated matrix of the operator.
**/
virtual void do_non_dege() const ;
public:
/**
* Computes the particular solution, given the source \c so .
**/
virtual Tbl get_solp(const Tbl& so) const ;
/**
* Computes the homogeneous solutions(s).
**/
virtual Tbl get_solh() const ;
/**
* Increases the quatum number \e l by one unit.
**/
virtual void inc_l_quant() ;
/**
* Decreases the quatum number \e l by one unit.
**/
virtual void dec_l_quant() ;
} ;
/**
* Class for the operator of the Poisson equation in pseudo 1d.
*
**/
class Ope_poisson_pseudo_1d : public Ope_elementary {
protected:
int l_quant ; ///< quantum number
public:
/**
* Standard constructor.
*
* @param nbr [input] number of radial points.
* @param baser [input] radial basis of decomposition.
* @param alf [input] parameter \f$\alpha\f$ of the mapping.
* @param bet [input] parameter \f$\beta\f$ of the mapping.
* @param lq [input] quantum number \e l .
**/
Ope_poisson_pseudo_1d (int nbr, int baser, double alf, double bet, int lq) ;
Ope_poisson_pseudo_1d (const Ope_poisson_pseudo_1d&) ; ///< Constructor by copy
virtual ~Ope_poisson_pseudo_1d() ; ///< Destructor
/// Returns the quantum number \e l
int get_lquant() {return l_quant;} ;
private:
/**
* Computes the matrix of the operator.
**/
virtual void do_ope_mat() const ;
/**
* Computes the banded-matrix of the operator.
**/
virtual void do_ope_cl() const ;
/**
* Computes the non-degenerated matrix of the operator.
**/
virtual void do_non_dege() const ;
public:
/**
* Computes the particular solution, given the source \c so .
**/
virtual Tbl get_solp(const Tbl& so) const ;
/**
* Computes the homogeneous solutions(s).
**/
virtual Tbl get_solh() const ;
/**
* Increases the quatum number \e l by one unit.
**/
virtual void inc_l_quant() ;
/**
* Decreases the quatum number \e l by one unit.
**/
virtual void dec_l_quant() ;
} ;
/**
* Class for the operator of the modified Helmholtz equation in pseudo-1d.
*
* It is implemented only in the external domain
**/
class Ope_helmholtz_minus_pseudo_1d : public Ope_elementary {
protected:
int l_quant ; ///< quantum number
double masse ; ///< The mass term.
int dzpuis ; ///< the associated dzpuis, if in the compactified domain.
public:
/**
* Standard constructor.
*
* @param nbr [input] number of radial points.
* @param baser [input] radial basis of decomposition.
* @param alf [input] parameter \f$\alpha\f$ of the mapping.
* @param bet [input] parameter \f$\beta\f$ of the mapping.
* @param lq [input] quantum number \e l .
* @param masse [input] mass term.
* @param dz [input] dzpuis of the source.
**/
Ope_helmholtz_minus_pseudo_1d (int nbr, int baser, double alf, double bet,
int lq, double masse, int dz) ;
Ope_helmholtz_minus_pseudo_1d (const Ope_helmholtz_minus_pseudo_1d&) ; ///< Constructor by copy
virtual ~Ope_helmholtz_minus_pseudo_1d() ; ///< Destructor
/// Returns the associated dzpuis, if in the compactified domain.
int get_dzpuis() {return dzpuis ;} ;
/// Returns the quantum number \e l
int get_lquant() {return l_quant;} ;
/// Returns the mass term
double get_masse() {return masse;} ;
private:
/**
* Computes the matrix of the operator.
**/
virtual void do_ope_mat() const ;
/**
* Computes the banded-matrix of the operator.
**/
virtual void do_ope_cl() const ;
/**
* Computes the non-degenerated matrix of the operator.
**/
virtual void do_non_dege() const ;
public:
/**
* Computes the particular solution, given the source \c so .
**/
virtual Tbl get_solp(const Tbl& so) const ;
/**
* Computes the homogeneous solutions(s).
**/
virtual Tbl get_solh() const ;
/**
* Increases the quatum number \e l by one unit.
**/
virtual void inc_l_quant() ;
/**
* Decreases the quatum number \e l by one unit.
**/
virtual void dec_l_quant() ;
} ;
/**
* Class for the operator appearing for the vortons
*
* It is implemented in the shells and the compactified domain
**/
class Ope_vorton : public Ope_elementary {
protected:
int l_quant ; ///< quantum number
int dzpuis ; ///< the associated dzpuis, if in the compactified domain.
public:
/**
* Standard constructor.
*
* @param nbr [input] number of radial points.
* @param baser [input] radial basis of decomposition.
* @param alf [input] parameter \f$\alpha\f$ of the mapping.
* @param bet [input] parameter \f$\beta\f$ of the mapping.
* @param lq [input] quantum number \e l .
* @param dz [input] dzpuis of the source.
**/
Ope_vorton (int nbr, int baser, double alf, double bet, int lq, int dz) ;
Ope_vorton (const Ope_vorton&) ; ///< Constructor by copy
virtual ~Ope_vorton() ; ///< Destructor
/// Returns the associated dzpuis, if in the compactified domain.
int get_dzpuis() {return dzpuis ;} ;
/// Returns the quantum number \e l
int get_lquant() {return l_quant;} ;
private:
/**
* Computes the matrix of the operator.
**/
virtual void do_ope_mat() const ;
/**
* Computes the banded-matrix of the operator.
**/
virtual void do_ope_cl() const ;
/**
* Computes the non-degenerated matrix of the operator.
**/
virtual void do_non_dege() const ;
public:
/**
* Computes the particular solution, given the source \c so .
**/
virtual Tbl get_solp(const Tbl& so) const ;
/**
* Computes the homogeneous solutions(s).
**/
virtual Tbl get_solh() const ;
/**
* Increases the quatum number \e l by one unit.
**/
virtual void inc_l_quant() ;
/**
* Decreases the quatum number \e l by one unit.
**/
virtual void dec_l_quant() ;
} ;
}
#endif
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