Elimination of the Potential from the Schrödinger and Klein–Gordon Equations by Means of Conformal Transformations

Foundations of Physics 32 (5):773-788 (2002)

Abstract
The potential term in the Schrödinger equation can be eliminated by means of a conformal transformation, reducing it to an equation for a free particle in a conformally related fictitious configuration space. A conformal transformation can also be applied to the Klein–Gordon equation, which is reduced to an equation for a free massless field in an appropriate (conformally related) spacetime. These procedures arise from the observation that the Jacobi form of the least action principle and the Hamilton–Jacobi equation of classical non-relativistic mechanics can be interpreted in terms of conformal transformations
Keywords Schrödinger equation  Klein–Gordon equation  conformal transformations
Categories (categorize this paper)
DOI 10.1023/A:1016522910236
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 43,728
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

No references found.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles

Illustrations of a Dynamical Theory of the Ether.J. H. Whealton - 1975 - Foundations of Physics 5 (3):543-553.
A Novel Interpretation of the Klein-Gordon Equation.K. B. Wharton - 2010 - Foundations of Physics 40 (3):313-332.
Linear and Nonlinear Schrödinger Equations.G. Adomian & R. Rach - 1991 - Foundations of Physics 21 (8):983-991.

Analytics

Added to PP index
2013-11-22

Total views
21 ( #409,798 of 2,264,669 )

Recent downloads (6 months)
1 ( #863,502 of 2,264,669 )

How can I increase my downloads?

Downloads

My notes

Sign in to use this feature