HilbertSubSpace: Hilbert subspace for charge quantum number Q and spin Sz. This class contains the eigenenergies, matrix elements and reduced density matrix for a Hilbert subspace with charge quantum number Q and spin S. More...

#include <hilbertsubspace.h>

Public Member Functions
	HilbertSubSpace (int Q, int Sz)
	constructs a subspace with quantum numbers Q and Sz More...

int	getQ ()
	returns the charge quantum number Q of the subspace More...

int	getSz ()
	returns the spin quantum number Sz of the subspace More...

int	getKeptStates ()
	returns the numer of kept states for the subspace More...

void	setKeptStates (int keptStates)
	sets the number of kept states for the subspace More...

math::Matrix &	getHamiltonian ()
	returns reference to the Hamiltonian/unitary transformation After diagonalization Lapack turns this Hamiltonian matrix H into the diagonalizing unitary transformation U. So beware! More...

void	setHamiltonian (math::Matrix &H)
	set the Hamiltonian H More...

math::Vector &	getEnergies ()
	returns a reference to the vector of eigenenergies More...

void	setR (int i, int r)
	sets the # of kept states for ith hilbert space of the prev. iteration More...

int	getR (int i)
	retrieves the # of kept states for ith hilbert space of the prev. iteration More...

math::Matrix &	getChainElementsUp ()
	retrieves a reference to chain matrix elements for spin up electrons More...

math::Matrix &	getChainElementsDown ()
	retrieves a reference to chain matrix elements for spin down electrons More...

math::Matrix &	getDensityMatrixEigenBasis ()

math::Matrix &	getDensityMatrix ()

math::Matrix &	getLocalMatrixElementUp ()
	retrieves a reference to impurity matrix elements for spin down electrons Take a look at the "self-energy trick" by R. Bulla More...

math::Matrix &	getLocalMatrixElementDown ()
	retrieves a reference to impurity matrix elements for spin down electrons Take a look at the "self-energy trick" by R. Bulla More...

math::Matrix &	getLocalMatrixElementUp2 ()
	retrieves a reference to other impurity matrix elements for spin down electrons Take a look at the "self-energy trick" by R. Bulla More...

math::Matrix &	getLocalMatrixElementDown2 ()
	retrieves a reference to other impurity matrix elements for spin down electrons Take a look at the "self-energy trick" by R. Bulla More...

Protected Attributes
int	m_Q

int	m_Sz

int	m_r [4]

int	m_nKeptStates

math::Matrix	m_H

math::Vector	m_E

math::Matrix	m_chainOperatorElementsUp

math::Matrix	m_chainOperatorElementsDown

math::Matrix	m_densityMatrix

math::Matrix	m_densityMatrixEigenBasis

math::Matrix	m_fUp

math::Matrix	m_fDown

math::Matrix	m_fffUp

math::Matrix	m_fffDown

Detailed Description

HilbertSubSpace: Hilbert subspace for charge quantum number Q and spin Sz. This class contains the eigenenergies, matrix elements and reduced density matrix for a Hilbert subspace with charge quantum number Q and spin S.

Constructor & Destructor Documentation

nrg::HilbertSubSpace::HilbertSubSpace	(	int	Q,
		int	Sz
	)

constructs a subspace with quantum numbers Q and Sz

Parameters

[in]	Q	charge quantum number
[in]	Sz	spin quantum number

Member Function Documentation

math::Matrix& nrg::HilbertSubSpace::getChainElementsDown ( )

inline

retrieves a reference to chain matrix elements for spin down electrons

Returns: chain matrix elements for spin down

math::Matrix& nrg::HilbertSubSpace::getChainElementsUp ( )

inline

retrieves a reference to chain matrix elements for spin up electrons

Returns: chain matrix elements for spin up

math::Vector& nrg::HilbertSubSpace::getEnergies ( )

inline

returns a reference to the vector of eigenenergies

Returns: eigenenergies

math::Matrix& nrg::HilbertSubSpace::getHamiltonian ( )

inline

returns reference to the Hamiltonian/unitary transformation After diagonalization Lapack turns this Hamiltonian matrix H into the diagonalizing unitary transformation U. So beware!

Returns: reference to matrix H/U

int nrg::HilbertSubSpace::getKeptStates ( )

inline

returns the numer of kept states for the subspace

Returns: # of kept states

math::Matrix& nrg::HilbertSubSpace::getLocalMatrixElementDown ( )

inline

retrieves a reference to impurity matrix elements for spin down electrons Take a look at the "self-energy trick" by R. Bulla

Returns: impurity matrix elements for spin down

math::Matrix& nrg::HilbertSubSpace::getLocalMatrixElementDown2 ( )

inline

retrieves a reference to other impurity matrix elements for spin down electrons Take a look at the "self-energy trick" by R. Bulla

Returns: other impurity matrix elements for spin down

math::Matrix& nrg::HilbertSubSpace::getLocalMatrixElementUp ( )

inline

retrieves a reference to impurity matrix elements for spin down electrons Take a look at the "self-energy trick" by R. Bulla

Returns: impurity matrix elements for spin down

math::Matrix& nrg::HilbertSubSpace::getLocalMatrixElementUp2 ( )

inline

retrieves a reference to other impurity matrix elements for spin down electrons Take a look at the "self-energy trick" by R. Bulla

Returns: other impurity matrix elements for spin down

int nrg::HilbertSubSpace::getQ ( )

inline

returns the charge quantum number Q of the subspace

Returns: charge quantum number

int nrg::HilbertSubSpace::getR ( int i )

inline

retrieves the # of kept states for ith hilbert space of the prev. iteration

Parameters

[in] i 0,1,2,3

Returns: # of states

int nrg::HilbertSubSpace::getSz ( )

inline

returns the spin quantum number Sz of the subspace

Returns: spin quantum number

void nrg::HilbertSubSpace::setHamiltonian ( math::Matrix & H )

inline

set the Hamiltonian H

Parameters

[in] H Hamiltonian matrix

void nrg::HilbertSubSpace::setKeptStates ( int keptStates )

inline

sets the number of kept states for the subspace

Parameters

[in] keptStates # of kept states

void nrg::HilbertSubSpace::setR	(	int	i,
		int	r
	)

inline

sets the # of kept states for ith hilbert space of the prev. iteration

Parameters

[in]	i	0,1,2,3
[in]	r	# of kept states

The documentation for this class was generated from the following files:

/home/chris/Development/Release/NanoStructures/nrg/hilbertsubspace.h
/home/chris/Development/Release/NanoStructures/nrg/hilbertsubspace.cpp

Public Member Functions

Protected Attributes

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation