Published October 1999 | Version v1
Journal article Metadata-only

Relations between low-lying quantum wave functions and solutions of the Hamilton-Jacobi equation

Creators

  • 1. Columbia Univ., New York (United States). Dept. of Physics
  • 2. China Center of Advanced Science and Technology, Beijing (China)

Description

The paper discusses a new relation between the low-lying Schroedinger wave function of a particle in a one-dimensional potential V and the solution of the corresponding Hamilton-Jacobi equation with -V as its potential. Detailed analysis for the particular example of quartic potential V are given

Additional details

Publishing Information

Journal Title
Nuovo Cimento. A
Journal Volume
112A
Journal Issue
10
Journal Page Range
p. 1195-11228
ISSN
0369-3546

INIS

Country of Publication
Italy
Country of Input or Organization
Italy
INIS RN
31034784
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
BOUND STATE; HAMILTON-JACOBI EQUATIONS; POTENTIALS; WAVE EQUATIONS; WAVE FUNCTIONS
Descriptors DEC
DIFFERENTIAL EQUATIONS; EQUATIONS; FUNCTIONS; PARTIAL DIFFERENTIAL EQUATIONS