Chinese journal of atomic and molecular physics

Double wave function description of the coupling harmonic oscillator

Huang Chun

Published Jan 1, 2000• 0 citations

Abstract

The double wave function quantum theory is applied to study the coupling harmonic oscillator. The time evolution equations and some constant of the motion describing the single coupling harmonic oscillator and the classical limits of these equations are obtained. The relations between the double wave function quantum theory and the single wave quantum theory are discussed.

Related papers

Two Wave Interpretation of the 2-Dimensional Harmonic Oscillator

Huang Chun

The 2 dimensional harmonic oscillator is studied by means of two wave interpretation quantum theory. The time evolution equation and some constants of the motion describing the single 2 dimensional harmonic oscillator and the classical limits are obtained. The relations between the two wave quantum theory and the single wave quantum theory are discussed.

Jan 1, 19990 citations

Double Wave Function Description of the 3-dimensional Isotropical Harmonic Oscillator

Huang Chun

The double wave function quantum theory is applied to study the 3 dimensional isotropical harmonic oscillator.The time evolution equations and some constant of the motion describing the single harmonic oscillator are obtained.The classical limits of these equations as well as the relations between the double wave function quantum theory and the single wave quantum theory are discussed.

Journal of Changsha University of Science & TechnologyJan 1, 20000 citations

Two Wave Interpretation of the 3-Dimensional Harmonic Oscillator

Shun Liu

The three-dimensional harmonic oscillator is studied by means of two wave interpretation quantum theory.The time evolution equation and some constants of the motion are obtained that describe the single three dimensional harmonic oscillator and the classical limits.

Journal of Guangdong University of TechnologyJan 1, 20010 citations

Double Wave Description of Time dependent Harmonic Oscillator

Zhu Zheng

A harmonic oscillator with time dependent frequancy is studied using double wave function theory.The calculation of displacement,momentum and energy etc,shows that the oscillator moves quasi harmonically in time.When the frequancy comes to a constant,the oscillator becomes the simple harmonic one,as expected.

Journal of Hunan UniversityJan 1, 19990 citations

THE EXACT SOLUTION OF ANHARMONIC OSCILLATOR POTENTIAL AND THE DESCRIPTION OF DOUBLE WAVE FUNCTION

Yan-Feng Hang

Abstract In this paper,the Schrdinger equation with an anharmonic oscillator potential V(x)=x 2/2+ g/2x 2 is solved.The exact energy equation and the normalized wave function are obtained.The double wave function quantum theory is applied to gain the time evolution equation to describe the physical quantities of a single motional particle in the anharmonic oscillator.

Acta Physica SinicaJan 1, 19980 citations

Double Wave Description of the Motion of the HarmonicOscillators with Time-dependent Frequency

WU Qi-xue

Using two wavefunctions, the state of the harmonic oscillator with time-dependent frequency is defined and its motion could be described completely. The classical limit of this double wave description could have the same results as those of the classical mechanics.

Acta Sinica Quantum OpticaJan 1, 20010 citations