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Semiclassical approach to ground states within Klein-Gordon equation

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Abstract

A new method for deriving Regge-trajectories and energy eigenvalues for ground states of central potentials is applied to the Klein-Gordon equation. Based upon the {Dirac_h}-expansion, the simple recursion formulas are presented. The problems of the {pi}-mesonic atom and funnel-shaped potential are treated with this technique. 12 refs.; 1 tab.
Authors:
Publication Date:
Dec 31, 1989
Product Type:
Technical Report
Report Number:
ITP-89-57
Reference Number:
SCA: 662130; 664500; PA: AIX-23:037685; SN: 92000726512
Resource Relation:
Other Information: PBD: 1989
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 74 ATOMIC AND MOLECULAR PHYSICS; GROUND STATES; KLEIN-GORDON EQUATION; SEMICLASSICAL APPROXIMATION; PIONIC ATOMS; CENTRAL POTENTIAL; EIGENVALUES; RECURSION RELATIONS; REGGE TRAJECTORIES; 662130; 664500; S-MATRIX THEORY, RELATIVISTIC SCATTERING THEORY; SPECIAL ATOMS AND MOLECULES
OSTI ID:
10139929
Research Organizations:
AN Ukrainskoj SSR, Kiev (Ukraine). Inst. Teoreticheskoj Fiziki
Country of Origin:
Ukraine
Language:
English
Other Identifying Numbers:
Other: ON: DE92627259; TRN: UA9200200037685
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
9 p.
Announcement Date:
Jul 05, 2005

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Citation Formats

Kobylinskij, N A, Stepanov, S S, and Tutik, R S. Semiclassical approach to ground states within Klein-Gordon equation. Ukraine: N. p., 1989. Web.
Kobylinskij, N A, Stepanov, S S, & Tutik, R S. Semiclassical approach to ground states within Klein-Gordon equation. Ukraine.
Kobylinskij, N A, Stepanov, S S, and Tutik, R S. 1989. "Semiclassical approach to ground states within Klein-Gordon equation." Ukraine.
@misc{etde_10139929,
title = {Semiclassical approach to ground states within Klein-Gordon equation}
 author = {Kobylinskij, N A, Stepanov, S S, and Tutik, R S}
 abstractNote = {A new method for deriving Regge-trajectories and energy eigenvalues for ground states of central potentials is applied to the Klein-Gordon equation. Based upon the {Dirac_h}-expansion, the simple recursion formulas are presented. The problems of the {pi}-mesonic atom and funnel-shaped potential are treated with this technique. 12 refs.; 1 tab.}
 place = {Ukraine}
 year = {1989}
 month = {Dec}
 }