Phase-Space Wave Functions of Diatomic System in One-Dimensional Nanomaterials

2011 ◽  
Vol 474-476 ◽  
pp. 1179-1182
Author(s):  
Jun Lu
Keyword(s):  
Phase Space ◽  
Exact Solutions ◽  
Potential Function ◽  
Wave Functions ◽  
Space Representation ◽  
One Dimensional ◽  
Empirical Potential ◽  
Diatomic System ◽  
Phase Space Representation ◽  
Space Wave

The exact solutions of the stationary Schrödinger equations for the diatomic system with an empirical potential function in one-dimensional nanomaterials are solved within the framework of the quantum phase-space representation established by Torres-Vega and Frederick. The wave functions in position and momentum representations can be obtained through the Fourier-like projection transformation from the phase-space wave functions.

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.

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.

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.

Phase space representation of pseudo oscillator

1969 ◽  
Vol 29 (5) ◽  
pp. 245-246 ◽  
Author(s):  
A.K. Jaiswal ◽  
C.L. Mehta
Keyword(s):  
Phase Space ◽  
Space Representation ◽  
Phase Space Representation

Automated classification of human lung sound signals using phase space representation of intrinsic mode function

2021 ◽  
Author(s):  
Sibghatullah I. Khan ◽  
Vikram Palodiya ◽  
Lavanya Poluboyina
Keyword(s):  
Phase Space ◽  
Human Lung ◽  
Feature Space ◽  
Normal Lung ◽  
Space Representation ◽  
Support Vector ◽  
Lung Sounds ◽  
Lung Sound ◽  
Phase Space Representation

Abstract Bronchiectasis and chronic obstructive pulmonary disease (COPD) are common human lung diseases. In general, the expert pulmonologistcarries preliminary screening and detection of these lung abnormalities by listening to the adventitious lung sounds. The present paper is an attempt towards the automatic detection of adventitious lung sounds ofBronchiectasis,COPD from normal lung sounds of healthy subjects. For classification of the lung sounds into a normaland adventitious category, we obtain features from phase space representation (PSR). At first, the empirical mode decomposition (EMD) is applied to lung sound signals to obtain intrinsic mode functions (IMFs). The IMFs are then further processed to construct two dimensional (2D) and three dimensional (3D) PSR. The feature space includes the 95% confidence ellipse area and interquartile range (IQR) of Euclidian distances computed from 2D and 3D PSRs, respectively. The process is carried out for the first four IMFs correspondings to normal and adventitious lung sound signals. The computed features depicta significant ability to discriminate the two categories of lung sound signals.To perform classification, we use the least square support vector machine with two kernels, namely, polynomial and radial basis function (RBF).Simulation outcomes on ICBHI 2017 lung sound dataset show the ability of the proposed method in effectively classifying normal and adventitious lung sound signals. LS-SVM is employing RBF kernel provides the highest classification accuracy of 97.67 % over feature space constituted by first, second, and fourth IMF.

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