Acta Physica Sinica

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

Published Jan 1, 1996• 1 citation

Abstract

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.

DOI: 10.7498/aps.45.360

Related papers

DOUBLE WAVE DESCRIPTION OF THE MOTION OF A CHARGED PARTICLE IN A UNIFORM MAGNETIC FIELD

HUANG XIANG-YOU, Quanhui Liu, TIAN XU +2 more

Double wave quantum theory is applied to describe the motion of charged particle in a uniform magnetic field. This description of the motion of the particle is complete. One can tell the value of an arbitrary physical quantity at any time. The probability and the formula to calculate mean values in ordinary quantum mechanics comes from the average of double wave description over a certain ensemble. The rule of gauge transformation in quantum mechanics can be seen from the average over an ensemble.

Acta Physica SinicaJan 1, 19931 citation

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

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

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

DOUBLE-WAVE DESCRIPTION OF A TWO-DIMENSIONAL HYDROGEN ATOM

C Huang

Double wave quantum theory is applied to the description of a two dimensional hydrogen atom.The classical limit of this description is discussed.The results indicate that double wave function can be applied to describe the states of single particle,and the ordinary quantum mechanical description,as a statistical average of ensemble,is included in the double wave quantum theory.

Acta Physica SinicaJan 1, 20000 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