Acta Physica Sinica

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

Yan-Feng Hang

Published Jan 1, 1998• 0 citations

Abstract

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.

Related papers

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

Chen Chang-Yuan, LIU YOU-WEN, 盐城师范专科学校物理系，盐城 224002

In this paper,the Schrdinger equation with an anharmonic oscillator potential V(x)=x2/2+g/2x2 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, 19981 citation

ANALYTIC SOLUTION TO THE SCHRDINGER EQUATION FOR THE ANHARMONIC OSCILLATOR

Zhou Guo-zhong

using an ansatz for the eigenfunction,we obtain the analytic solution to the Schrdinger equation for the anharmonic oscillator potential.In the bound states,the results show that parameters w′,d′,c′,b′ and a′ in the model potential have to satisfy relevant restraint conditions.

Journal of Anhui Normal UniversityJan 1, 20050 citations

THE DESCRIPTION OF DOUBLE WAVE FUNCTION OF PARTICLE MOTION IN THE REFLECTIONLESS POTENTIAL WELL

LIN KUN-ZHI, 吉林省通化师范学院物理系,通化134002

In this paper, double wave function quantum theory is applied to obtain a time evolution equation to describe the physical quantities of single motional particle in the reflectionless potential well. The ordinary formula to calculate mean values in quantum mechanics can be described as the average of double wave function of a certain ensemble.

Acta Physica SinicaJan 1, 19961 citation

ANALYTIC SOLUTION TO THE SCHRDINGER EQUATION WITH A HARMONIC OSCILLATOR POTENTIAL PLUS δ-POTENTIAL

Qinglin Peng

The analytic solution to the Schrodinger equation with a harmonic oscillator potentialplus δ-potential is presented in the coordinate representation. Its algebraic expression in theenergy representation is also given. The degeneracy of the energy levels is discussed and acomparison between the energy spectra of a harmonic oscillator and a particle in a δ-poten-tial is made.

Science China MathematicsJan 1, 19910 citations

Double wave function description of the coupling harmonic oscillator

Huang Chun

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.

Chinese journal of atomic and molecular physicsJan 1, 20000 citations

The Description with Double-wave Function for Particlein Asymmetric potential

Chen Gang

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 one-dimensional Morse potential.

Acta Sinica Quantum OpticaJan 1, 20010 citations