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A new approach to the I/N-expansion for the Dirac equation

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Abstract

The difficulties associated with application of the I/N-expansion to the Dirac equation have been resolved by applying the method of (h/2{pi})-expansion. This technique does not involve converting the initial equation into the Schroedinger-like or Klein-Gordon-like form. Obtained recurrence formulae have a simple form and allow one to find the I/N-corrections of an arbitrary order in any of the I/N-expansion scheme. The method restores the exact results for the Coulomb potential. 17 refs. (author).
Authors:
Publication Date:
Dec 31, 1991
Product Type:
Technical Report
Report Number:
ITP-91-94
Reference Number:
SCA: 661100; PA: AIX-24:024337; SN: 93000948263
Resource Relation:
Other Information: PBD: 1991
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; DIRAC EQUATION; SEMICLASSICAL APPROXIMATION; CENTRAL POTENTIAL; CORRECTIONS; COULOMB FIELD; EIGENVALUES; RECURSION RELATIONS; RICCATI EQUATION; SCALAR FIELDS; SERIES EXPANSION; VECTOR FIELDS; 661100; CLASSICAL AND QUANTUM MECHANICS
OSTI ID:
10127896
Research Organizations:
AN Ukrainskoj SSR, Kiev (Ukraine). Inst. Teoreticheskoj Fiziki
Country of Origin:
Ukraine
Language:
English
Other Identifying Numbers:
Other: ON: DE93617647; TRN: UA9300017024337
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
[12] p.
Announcement Date:
Jul 04, 2005

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Citation Formats

Stepanov, S S, and Tutik, R S. A new approach to the I/N-expansion for the Dirac equation. Ukraine: N. p., 1991. Web.
Stepanov, S S, & Tutik, R S. A new approach to the I/N-expansion for the Dirac equation. Ukraine.
Stepanov, S S, and Tutik, R S. 1991. "A new approach to the I/N-expansion for the Dirac equation." Ukraine.
@misc{etde_10127896,
title = {A new approach to the I/N-expansion for the Dirac equation}
 author = {Stepanov, S S, and Tutik, R S}
 abstractNote = {The difficulties associated with application of the I/N-expansion to the Dirac equation have been resolved by applying the method of (h/2{pi})-expansion. This technique does not involve converting the initial equation into the Schroedinger-like or Klein-Gordon-like form. Obtained recurrence formulae have a simple form and allow one to find the I/N-corrections of an arbitrary order in any of the I/N-expansion scheme. The method restores the exact results for the Coulomb potential. 17 refs. (author).}
 place = {Ukraine}
 year = {1991}
 month = {Dec}
 }