Operator expressions

Namespaces
	Pomerol::Operators
	Expressions of quantum-mechanical operators.

Functions
template<typename... IndexTypes>
expression< double, IndexTypes... >	Pomerol::Operators::N (std::vector< std::tuple< IndexTypes... >> const &Indices)
template<typename... IndexTypes>
expression< double, IndexTypes... >	Pomerol::Operators::Sz (std::vector< std::tuple< IndexTypes... >> const &SpinUpIndices, std::vector< std::tuple< IndexTypes... >> const &SpinDownIndices)

Detailed Description

Function Documentation

N()

template<typename... IndexTypes>

expression<double, IndexTypes...> Pomerol::Operators::N

(

std::vector< std::tuple< IndexTypes... >> const &

Indices

)

Construct a real-valued expression for the full occupation number operator

\[ \hat N = \sum_{i\in\{I\}} \hat n_i. \]

Template Parameters

IndexTypes

Types of indices of creation/annihilation operators in the resulting expression.

Parameters

[in]

Indices

List of index tuples corresponding to the selected degrees of freedom \(\{I\}\).

Returns

Constructed expression.

Definition at line 128 of file Operators.hpp.

Sz()

template<typename... IndexTypes>

expression<double, IndexTypes...> Pomerol::Operators::Sz	(	std::vector< std::tuple< IndexTypes... >> const &	SpinUpIndices,
		std::vector< std::tuple< IndexTypes... >> const &	SpinDownIndices
	)

Construct a real-valued expression for the full spin z-projection operator

\[ \hat S_z = \frac{1}{2}\sum_{i\in\{I_\uparrow\}}\hat n_i - \frac{1}{2}\sum_{i\in\{I_\downarrow\}}\hat n_i. \]

Template Parameters

IndexTypes

Types of indices of creation/annihilation operators in the resulting expression.

Parameters

[in]	SpinUpIndices	List of index tuples corresponding to the spin-up degrees of freedom \(\{I_\uparrow\}\).
[in]	SpinDownIndices	List of index tuples corresponding to the spin-down degrees of freedom \(\{I_\downarrow\}\).

Returns

Constructed expression.

Definition at line 146 of file Operators.hpp.