#include <helpers.h>

Public Member Functions
	BasisList (int L, int Nu, int Nd)

virtual	~BasisList ()

bool	Exists (int K, int S, int Sz) const

SubBasis &	Get (int K, int S, int Sz)

void	Create (int K, int S, int Sz, MomBasis &orig, int dim)

void	Print () const

void	DoProjection (int K, int S, int Sz, MomBasis const &orig)

void	MakeEmpty ()

void	Clean (int Sz)

Static Public Attributes
static const int	EMPTY = -1
	Constant used to keep track of which basis are allocted. More...

Private Attributes
int	L
	number of sites More...

int	Nu
	number of up electrons More...

int	Nd
	number of up electrons More...

int	totS

int	Smax
	maximum value of S More...

std::vector< int >	ind_list
	Array to keep track of SubBasis exist and which ones not. More...

std::vector< SubBasis >	list

Detailed Description

Class to keep track of which (sub)Basis are already created and keeps track of new ones.

Definition at line 265 of file helpers.h.

Constructor & Destructor Documentation

BasisList::BasisList	(	int	L,
		int	Nu,
		int	Nd
	)

Create a BasisList to build a SpinBasis with given numbers

Parameters

L	the chain length
Nu	the number of up spins of the final basis
Nd	the number of down spins of the final basis

Definition at line 799 of file helpers.cpp.

virtual BasisList::~BasisList ( )

inlinevirtual

Definition at line 270 of file helpers.h.

Member Function Documentation

void BasisList::Clean ( int Sz )

Free the memory of all SubBasis for Sz and higher

Definition at line 936 of file helpers.cpp.

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void BasisList::Create	(	int	K,
		int	S,
		int	Sz,
		MomBasis &	orig,
		int	dim
	)

Create a SubBasis with quantum numbers K, S and Sz from momentum basis orig and let it have dimension dim

Parameters

K	the K quantun number of the new SubBasis
S	the S quantun number of the new SubBasis
Sz	the Sz quantun number of the new SubBasis
orig	the original momentum basis from which to build the new SubBasis
dim	the dimension of the SubBasis

Definition at line 856 of file helpers.cpp.

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void BasisList::DoProjection	(	int	K,
		int	S,
		int	Sz,
		MomBasis const &	orig
	)

Projects the final space out of the rest. We build a matrix where the rows are the basis vectors of all other subspaces. Normally, this would be the columns we you can build a projection matrix P = A A^T but for performance we use the rows (so we can use memcpy). We then do a SVD on this matrix to find the kernel. The vectors that span the null space are the basisvectors we where looking for and we copy them to the destination coeffs matrix with memcpy.

Parameters

K	the K number of the block where are looking for
S	the spin number of the block where are looking for
Sz	the spin projection number of the block where are looking for
K	the K number of the block where are looking for
orig	the orginal momentum basis of the blocks

Definition at line 888 of file helpers.cpp.

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bool BasisList::Exists	(	int	K,
		int	S,
		int	Sz
	)		const

Check if a SubBasis with given quantum numbers exists

Parameters

K	the K quantun number of the SubBasis
S	the S quantun number of the SubBasis
Sz	the Sz quantun number of the SubBasis

Returns: true or false if it exists

Definition at line 822 of file helpers.cpp.

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SubBasis & BasisList::Get	(	int	K,
		int	S,
		int	Sz
	)

Getter for a SubBasis with given quantum numbers exists

Parameters

K	the K quantun number of the SubBasis
S	the S quantun number of the SubBasis
Sz	the Sz quantun number of the SubBasis

Returns: the SubBasis object requested

Definition at line 840 of file helpers.cpp.

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void BasisList::MakeEmpty ( )

Delete everything in this BasisList

Definition at line 952 of file helpers.cpp.

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void BasisList::Print ( ) const

Definition at line 862 of file helpers.cpp.

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Member Data Documentation

const int BasisList::EMPTY = -1

static

Constant used to keep track of which basis are allocted.

Definition at line 287 of file helpers.h.

std::vector<int> BasisList::ind_list

private

Array to keep track of SubBasis exist and which ones not.

Definition at line 303 of file helpers.h.

int BasisList::L

private

number of sites

Definition at line 291 of file helpers.h.

std::vector<SubBasis> BasisList::list

private

Definition at line 305 of file helpers.h.

int BasisList::Nd

private

number of up electrons

Definition at line 295 of file helpers.h.

int BasisList::Nu

private

number of up electrons

Definition at line 293 of file helpers.h.

int BasisList::Smax

private

maximum value of S

Definition at line 300 of file helpers.h.

int BasisList::totS

private

Definition at line 297 of file helpers.h.

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

Public Member Functions

Static Public Attributes

Private Attributes

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation