One-dimensional hydrogen atom in quantum phase-space representation: rigorous solutions

2001 ◽  
Vol 336 (1-2) ◽  
pp. 118-122 ◽  
Author(s):  
Qian-Shu Li ◽  
Jun Lu
Keyword(s):  
Phase Space ◽  
Hydrogen Atom ◽  
Quantum Phase ◽  
Space Representation ◽  
One Dimensional ◽  
Phase Space Representation

The one-dimensional Hulthén potential in the quantum phase space representation

Open Physics ◽  
2014 ◽  
Vol 12 (2) ◽  
Author(s):  
Jerzy Stanek
Keyword(s):  
Phase Space ◽  
Wigner Function ◽  
Quantum Phase ◽  
Space Representation ◽  
Hulthén Potential ◽  
One Dimensional ◽  
Hulthen Potential ◽  
Analytic Expression ◽  
The One ◽  
Phase Space Representation

AbstractThe analytic expression of the Wigner function for bound eigenstates of the Hulthén potential in quantum phase space is obtained and presented by plotting this function for a few quantum states. In addition, the correct marginal distributions of the Wigner function in spherical coordinates are determined analytically.

One-Dimensional Harmonic Oscillator in Quantum Phase Space

2011 ◽  
Vol 110-116 ◽  
pp. 3750-3754
Author(s):  
Jun Lu ◽  
Xue Mei Wang ◽  
Ping Wu
Keyword(s):  
Phase Space ◽  
Harmonic Oscillator ◽  
Quantum Phase ◽  
Space Representation ◽  
Wave Mechanics ◽  
One Dimensional ◽  
Matrix Mechanics ◽  
The Matrix ◽  
Quantum Wave ◽  
The One

Within the framework of the quantum phase space representation established by Torres-Vega and Frederick, we solve the rigorous solutions of the stationary Schrödinger equations for the one-dimensional harmonic oscillator by means of the quantum wave-mechanics method. The result shows that the wave mechanics and the matrix mechanics are equivalent in phase space, just as in position or momentum space.

Phase-Space Wave Functions of Harmonic Oscillator in Nanomaterials

2011 ◽  
Vol 233-235 ◽  
pp. 2154-2157
Author(s):  
Jun Lu
Keyword(s):  
Wave Function ◽  
Phase Space ◽  
Harmonic Oscillator ◽  
Wave Functions ◽  
Quantum Phase ◽  
Space Representation ◽  
Schrodinger Equations ◽  
Schrödinger Equations ◽  
Phase Space Representation ◽  
Space Wave

In this paper, we solve the rigorous solutions of the stationary Schrödinger equations for the harmonic oscillator in nanomaterials within the framework of the quantum phase-space representation established by Torres-Vega and Frederick. We obtain the phase-space eigenfunctions of the harmonic oscillator. We also discuss the character of wave function and the “Fourier-like” projection transformations in phase space.

Inelastic atom-diatom scattering in quantum phase space representation

1994 ◽  
Vol 230 (3) ◽  
pp. 217-222 ◽  
Author(s):  
Xu-Guang Hu ◽  
Qian-Shu Li ◽  
Au-Chin Tang
Keyword(s):  
Phase Space ◽  
Quantum Phase ◽  
Space Representation ◽  
Phase Space Representation

scholarly journals The two-spin model of a tracking chamber: a phase-space perspective

2021 ◽  
Author(s):  
Luigi Barletti
Keyword(s):  
Phase Space ◽  
Spin Model ◽  
Space Representation ◽  
Dimensional Model ◽  
Wigner Matrix ◽  
One Dimensional ◽  
Classical Localization ◽  
Relationship Of ◽  
The Relationship ◽  
Phase Space Representation

AbstractWe study the dynamics of classical localization in a simple, one-dimensional model of a tracking chamber. The emitted particle is represented by a superposition of Gaussian wave packets moving in opposite directions, and the detectors are two spins in fixed, opposite positions with respect to the central emitter. At variance with other similar studies, we give here a phase-space representation of the dynamics in terms of the Wigner matrix of the system. This allows a better visualization of the phenomenon and helps in its interpretation. In particular, we discuss the relationship of the localization process with the properties of entanglement possessed by the system.

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