This class defines a quantum state with Bessel function of the first kind, along the radial coordinate. More...

#include <trottersuzuki.h>

Inheritance diagram for BesselState:

Public Member Functions
	BesselState (Lattice1D grid, int angular_momentum=0, int zeros=1, double norm=1, double phase=0, double p_real=0, double *p_imag=0)

	BesselState (Lattice2D grid, int angular_momentum=0, int zeros=1, int n_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 >	bessel_state1D (double x)
	Bessel function of the first kind.

complex< double >	bessel_state2D (double x, double y)
	Bessel function of the first kind.

Private Attributes
int	angular_momentum
	Angular momentum.

int	zeros

int	n_y
	First and second quantum number.

double	zero
	radial coordinate of the last zero.

double	normalization
	Variable used for the normalization of the state.

double	norm

double	phase
	Norm and phase of the state.

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 Bessel function of the first kind, along the radial coordinate.

This class is a child of State class. The wave function, along the y-axis, is sinusoidal.

Constructor & Destructor Documentation

BesselState::BesselState	(	Lattice1D *	grid,
		int	angular_momentum = `0`,
		int	zeros = `1`,
		double	norm = `1`,
		double	phase = `0`,
		double *	p_real = `0`,
		double *	p_imag = `0`
	)

Construct the quantum state with bessel function of the first kind, along the radial coordinate.

Parameters

[in]	grid	Lattice object.
[in]	angular_momentum	Angular momentum.
[in]	zeros	Number of zeros points along the radial axis.
[in]	norm	Squared norm of the quantum 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.

BesselState::BesselState	(	Lattice2D *	grid,
		int	angular_momentum = `0`,
		int	zeros = `1`,
		int	n_y = `0`,
		double	norm = `1`,
		double	phase = `0`,
		double *	p_real = `0`,
		double *	p_imag = `0`
	)

Construct the quantum state with bessel function of the first kind, along the radial coordinate.

Parameters

[in]	grid	Lattice object.
[in]	angular_momentum	Angular momentum.
[in]	zeros	Number of zeros points along the radial axis.
[in]	n_y	Second quantum number for the sinusoid along the y-axis.
[in]	norm	Squared norm of the quantum 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.

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

Public Member Functions

Private Member Functions

Private Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation