GaussianState Class Reference

This class defines a quantum state with gaussian like wave function. More...

#include <trottersuzuki.h>

Inheritance diagram for GaussianState:

Public Member Functions
	GaussianState (Lattice1D *grid, double omega_x, double mean_x=0, double norm=1, double phase=0, double *p_real=0, double *p_imag=0)
	GaussianState (Lattice2D *grid, double omega_x, double omega_y=-1., double mean_x=0, double mean_y=0, double norm=1, double phase=0, double *p_real=0, double *p_imag=0)
Public Member Functions inherited from State
	State (Lattice *grid, int angular_momentum=0, double *p_real=0, double *p_imag=0)
	State (const State &obj)
	Copy constructor: copy the state object. More...
	~State ()
	Destructor.
void	init_state (complex< double >(*ini_state)(double x))
	Write the wave function from a C++ function to p_real and p_imag matrices in 1D. More...
void	init_state (complex< double >(*ini_state)(double x, double y))
	Write the wave function from a C++ function to p_real and p_imag matrices in 2D. More...
void	loadtxt (char *file_name)
	Load the wave function from a file to p_real and p_imag matrices.
void	imprint (complex< double >(*function)(double x))
	Multiply the wave function of the state by the function provided in 1D. More...
void	imprint (complex< double >(*function)(double x, double y))
	Multiply the wave function of the state by the function provided in 2D. More...
double *	get_particle_density (double *density=0)
	Return a matrix storing the squared norm of the wave function. More...
double *	get_phase (double *phase=0)
	Return a matrix storing the phase of the wave function. More...
double	get_expected_value (string _operator)
	Return the expected value of the operator, given as argument.
double	get_squared_norm (void)
	Return the squared norm of the quantum state.
double	get_mean_x (void)
	Return the expected value of the X operator.
double	get_mean_xx (void)
	Return the expected value of the X^2 operator.
double	get_mean_y (void)
	Return the expected value of the Y operator.
double	get_mean_yy (void)
	Return the expected value of the Y^2 operator.
double	get_mean_px (void)
	Return the expected value of the P_x operator.
double	get_mean_pxpx (void)
	Return the expected value of the P_x^2 operator.
double	get_mean_py (void)
	Return the expected value of the P_y operator.
double	get_mean_pypy (void)
	Return the expected value of the P_y^2 operator.
double	get_mean_angular_momentum (void)
	Return the expected value of the L_z operator.
void	write_to_file (string fileprefix)
	Write to a file the wave function. More...
void	write_particle_density (string fileprefix)
	Write to a file the squared norm of the wave function. More...
void	write_phase (string fileprefix)
	Write to a file the phase of the wave function. More...

Private Member Functions
complex< double >	gauss_state (double x, double y)
	Gaussian function.

Private Attributes
double	mean_x
	X coordinate of the gaussian function's center.
double	mean_y
	Y coordinate of the gaussian function's center.
double	omega_x
	Gaussian coefficient.
double	omega_y
	Gaussian coefficient.
double	norm
	Norm of the state.
double	phase
	Relative phase of the wave function.

Additional Inherited Members
Public Attributes inherited from State
double *	p_real
	Real part of the wave function.
double *	p_imag
	Imaginary part of the wave function.
Lattice *	grid
	Object that defines the lattice structure.
int	angular_momentum
	Angular momentum when cylindrical coordinates are used.
bool	expected_values_updated
	Whether the expected values of the state object are updated with respect to the last evolution.
Protected Member Functions inherited from State
void	calculate_expected_values (void)
	Calculate squared norm and expected values.
Protected Attributes inherited from State
bool	self_init
	Whether the p_real and p_imag matrices have been initialized from the State constructor or not.
double	mean_X
double	mean_XX
	Expected values of the X and X^2 operators.
double	mean_Y
double	mean_YY
	Expected values of the Y and Y^2 operators.
double	mean_Px
double	mean_PxPx
	Expected values of the P_x and P_x^2 operators.
double	mean_Py
double	mean_PyPy
	Expected values of the P_y and P_y^2 operators.
double	mean_angular_momentum
	Expected value of the L_z operator.
double	norm2
	Squared norm of the state.

Detailed Description

This class defines a quantum state with gaussian like wave function.

This class is a child of State class.

Constructor & Destructor Documentation

GaussianState::GaussianState	(	Lattice1D *	grid,
		double	omega_x,
		double	mean_x = 0,
		double	norm = 1,
		double	phase = 0,
		double *	p_real = 0,
		double *	p_imag = 0
	)

Construct the quantum state with gaussian like wave function.

Parameters

[in]	grid	Lattice object.
[in]	omega_x	Inverse of the variance along x-axis.
[in]	mean_x	X coordinate of the gaussian function's center.
[in]	norm	Squared norm of the state.
[in]	phase	Relative phase of the wave function.
[in]	p_real	Pointer to the real part of the wave function.
[in]	p_imag	Pointer to the imaginary part of the wave function.

GaussianState::GaussianState	(	Lattice2D *	grid,
		double	omega_x,
		double	omega_y = -1.,
		double	mean_x = 0,
		double	mean_y = 0,
		double	norm = 1,
		double	phase = 0,
		double *	p_real = 0,
		double *	p_imag = 0
	)

Construct the quantum state with gaussian like wave function.

Parameters

[in]	grid	Lattice object.
[in]	omega_x	Inverse of the variance along x-axis.
[in]	omega_y	Inverse of the variance along y-axis.
[in]	mean_x	X coordinate of the gaussian function's center.
[in]	mean_y	Y coordinate of the gaussian function's center.
[in]	norm	Squared norm of the state.
[in]	phase	Relative phase of the wave function.
[in]	p_real	Pointer to the real part of the wave function.
[in]	p_imag	Pointer to the imaginary part of the wave function.

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

• /home/pwittek/trotter-suzuki-mpi/src/trottersuzuki.h
• /home/pwittek/trotter-suzuki-mpi/src/model.cpp