Pomerol::HamiltonianPart Class Reference

Part of a Hamiltonian of a quantum system. More...

#include <HamiltonianPart.hpp>

Inheritance diagram for Pomerol::HamiltonianPart:

Collaboration diagram for Pomerol::HamiltonianPart:

Public Member Functions
template<typename ScalarType >
	HamiltonianPart (LOperatorType< ScalarType > const &HOp, StatesClassification const &S, BlockNumber Block)
void	prepare ()
	Fill the matrix with elements. More...
void	compute ()
bool	reduce (RealType Cutoff)
bool	isComplex () const
	Is this object storing a complex-valued matrix? More...
BlockNumber	getBlockNumber () const
	Return the index of the block (invariant subspace) this part corresponds to. More...
InnerQuantumState	getSize () const
	Return dimension of the respective invariant subspace. More...
RealVectorType const &	getEigenValues () const
RealType	getEigenValue (InnerQuantumState State) const
template<bool Complex>
MatrixType< Complex > const &	getMatrix () const
template<bool Complex>
MatrixType< Complex > &	getMatrix ()
RealType	getMinimumEigenvalue () const
template<bool Complex>
VectorType< Complex >	getEigenState (InnerQuantumState State) const
Public Member Functions inherited from Pomerol::ComputableObject
	ComputableObject ()=default
StatusEnum	getStatus () const
	Return the current computation status. More...
void	setStatus (StatusEnum Status_in)

Friends
class	Hamiltonian
std::ostream &	operator<< (std::ostream &os, HamiltonianPart const &part)

Additional Inherited Members
Public Types inherited from Pomerol::ComputableObject
enum	StatusEnum { Constructed , Prepared , Computed }
	Computation status of the object. More...
Protected Attributes inherited from Pomerol::ComputableObject
StatusEnum	Status = Constructed
	Current computation status. More...

Detailed Description

Part of a Hamiltonian of a quantum system.

This class stores and diagonalizes a single block of the Hamiltonian matrix, which corresponds to a single invariant subspace of the Hamiltonian.

Definition at line 40 of file HamiltonianPart.hpp.

Constructor & Destructor Documentation

HamiltonianPart()

template<typename ScalarType >

Pomerol::HamiltonianPart::HamiltonianPart ( LOperatorType< ScalarType > const &  HOp, StatesClassification const &  S, BlockNumber  Block  )

inline

Constructor.

Template Parameters

ScalarType

Scalar type (either double or std::complex<double>) of the linear operator HOp.

Parameters

[in]	HOp	The linear operator object corresponding to the Hamiltonian.
[in]	S	Information about invariant subspaces of the Hamiltonian.
[in]	Block	Index of the block (invariant subspace) this part corresponds to.

Definition at line 69 of file HamiltonianPart.hpp.

Member Function Documentation

compute()

void Pomerol::HamiltonianPart::compute

(

)

Diagonalize the matrix.

Precondition

prepare() has been called.

getBlockNumber()

BlockNumber Pomerol::HamiltonianPart::getBlockNumber ( ) const

inline

Return the index of the block (invariant subspace) this part corresponds to.

Definition at line 89 of file HamiltonianPart.hpp.

getEigenState()

template<bool Complex>

VectorType<Complex> Pomerol::HamiltonianPart::getEigenState

(

InnerQuantumState

State

)

const

Return a single eigenstate.

Template Parameters

Complex

Request a reference to a complex-valued eigenvector.

Parameters

[in]

State

Index of the eigenstate.

Precondition

The compile-time value of Complex must agree with the result of isComplex().

getEigenValue()

RealType Pomerol::HamiltonianPart::getEigenValue

(

InnerQuantumState

State

)

const

Access a single eigenvalue.

Parameters

[in]

State

Index of the eigenvalue.

Precondition

compute() has been called.

getEigenValues()

RealVectorType const& Pomerol::HamiltonianPart::getEigenValues

(

)

const

Access eigenvalues of the matrix.

Precondition

compute() has been called.

getMatrix() [1/2]

template<bool Complex>

MatrixType<Complex>& Pomerol::HamiltonianPart::getMatrix

(

)

Return a reference to the stored matrix.

Template Parameters

Complex

Request a reference to a complex-valued matrix.

Precondition

prepare() has been called.

The compile-time value of Complex must agree with the result of isComplex().

getMatrix() [2/2]

template<bool Complex>

MatrixType<Complex> const& Pomerol::HamiltonianPart::getMatrix

(

)

const

Return a constant reference to the stored matrix.

Template Parameters

Complex

Request a reference to a complex-valued matrix.

Precondition

prepare() has been called.

The compile-time value of Complex must agree with the result of isComplex().

getMinimumEigenvalue()

RealType Pomerol::HamiltonianPart::getMinimumEigenvalue

(

)

const

Return the lowest eigenvalue.

Precondition

compute() has been called.

getSize()

InnerQuantumState Pomerol::HamiltonianPart::getSize

(

)

const

Return dimension of the respective invariant subspace.

isComplex()

bool Pomerol::HamiltonianPart::isComplex ( ) const

inline

Is this object storing a complex-valued matrix?

Definition at line 86 of file HamiltonianPart.hpp.

prepare()

void Pomerol::HamiltonianPart::prepare

(

)

Fill the matrix with elements.

reduce()

bool Pomerol::HamiltonianPart::reduce

(

RealType

Cutoff

)

Discard all eigenvalues exceeding a given cutoff and truncate the size of the diagonalized matrix accordingly.

Parameters

[in]

Cutoff

Maximum allowed value of the energy.

Precondition

compute() has been called.

Friends And Related Function Documentation

Hamiltonian

friend class Hamiltonian

friend

Definition at line 60 of file HamiltonianPart.hpp.

operator<<

std::ostream& operator<< ( std::ostream &  os, HamiltonianPart const &  part  )

friend

Output stream insertion operator.

Parameters

[out]	os	Output stream.
[in]	part	HamiltonianPart to be inserted.

Returns

Reference to the output stream.

Definition at line 128 of file HamiltonianPart.hpp.

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

• pomerol/HamiltonianPart.hpp