scholarly journals Dynamical system of relativistic particle under one dimensional harmonic oscillator potential

2021 ◽  
Vol 1869 (1) ◽  
pp. 012188
Author(s):  
L A Sanjaya ◽  
T B Prayitno ◽  
W Widyanirmala ◽  
I M Astra
Keyword(s):  
Dynamical System ◽  
Harmonic Oscillator ◽  
Relativistic Particle ◽  
Oscillator Potential ◽  
Harmonic Oscillator Potential ◽  
One Dimensional

A POSSIBLE CONNECTION BETWEEN CLASSICAL INTEGRABILITY AND QUANTUM SOLVABILITY FOR DYNAMICAL SYSTEMS IN TWO DIMENSIONS

1991 ◽  
Vol 06 (31) ◽  
pp. 2887-2891 ◽  
Author(s):  
R. S. KAUSHAL ◽  
D. PARASHAR
Keyword(s):  
Dynamical System ◽  
Wave Equation ◽  
Dynamical Systems ◽  
Harmonic Oscillator ◽  
Two Dimensions ◽  
Oscillator Potential ◽  
Harmonic Oscillator Potential ◽  
The Relationship

Within the framework of a simple ansatz for the eigenfunction we try to understand the relationship between the classical integrability and the quantum solvability (i.e., the existence of a normalizable solution to the Schrödinger wave equation with nonzero eigenvalues) of a dynamical system in two dimensions. As an example, the case of an inverse harmonic oscillator potential, which is found to be classically integrable and also quantum solvable, is discussed.

scholarly journals Exact Solutions of the Mass-Dependent Klein-Gordon Equation with the Vector Quark-Antiquark Interaction and Harmonic Oscillator Potential

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
M. K. Bahar ◽  
F. Yasuk
Keyword(s):  
Harmonic Oscillator ◽  
Exact Solutions ◽  
Gordon Equation ◽  
Oscillator Potential ◽  
Ansatz Method ◽  
Harmonic Oscillator Potential ◽  
Klein Gordon ◽  
Dependent Mass ◽  
Mass Dependent ◽  
Klein Gordon Equation

Using the asymptotic iteration and wave function ansatz method, we present exact solutions of the Klein-Gordon equation for the quark-antiquark interaction and harmonic oscillator potential in the case of the position-dependent mass.

GROUND STATE OF N HARMONICALLY BOUND ANYONS IN A MAGNETIC FIELD

1992 ◽  
Vol 07 (38) ◽  
pp. 3593-3600
Author(s):  
R. CHITRA
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Harmonic Oscillator ◽  
Ground State ◽  
Harmonic Frequency ◽  
Oscillator Potential ◽  
Harmonic Oscillator Potential ◽  
Thomas Fermi ◽  
Large N ◽  
The Magnetic Field

The properties of the ground state of N anyons in an external magnetic field and a harmonic oscillator potential are computed in the large-N limit using the Thomas-Fermi approximation. The number of level crossings in the ground state as a function of the harmonic frequency, the strength and the direction of the magnetic field and N are also studied.

scholarly journals NEW FEATURES IN SUPERSYMMETRY BREAKDOWN IN QUANTUM MECHANICS

1996 ◽  
Vol 11 (19) ◽  
pp. 1563-1567 ◽  
Author(s):  
BORIS F. SAMSONOV
Keyword(s):  
Quantum Mechanics ◽  
Harmonic Oscillator ◽  
Mechanical Model ◽  
State Energy ◽  
Vacuum State ◽  
Quantum Mechanical ◽  
Oscillator Potential ◽  
Harmonic Oscillator Potential ◽  
Quantum Mechanical Model ◽  
Higher Derivative

The supersymmetric quantum mechanical model based on higher-derivative supercharge operators possessing unbroken supersymmetry and discrete energies below the vacuum state energy is described. As an example harmonic oscillator potential is considered.

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