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{Dirac_h}-expansion for Regge-trajectories. 1. The Schroedinger equation

Abstract

The {Dirac_h}-expansion provides a powerfull new, complimentary to the WKB method, tool for deriving Regge-trajectories and energy eigenvalues for bound states of central potentials in the Schroedinger equation framework. Based upon the logarithmic perturbation theory in Planck`s constant, the simple recursion formulas which facilitate the calculation are presented. Numerical calculations for specific potentials widely used in the quarkonium physics illustrate the speed and accuracy of the technique. 23 refs.; 6 tabs.
Publication Date:
Dec 31, 1989
Product Type:
Technical Report
Report Number:
ITP-89-58
Reference Number:
SCA: 662100; PA: AIX-23:037617; SN: 92000726468
Resource Relation:
Other Information: PBD: 1989
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; REGGE TRAJECTORIES; SCHROEDINGER EQUATION; EIGENVALUES; BOUND STATE; HAMILTONIANS; PERTURBATION THEORY; POTENTIALS; RECURSION RELATIONS; S STATES; THEORETICAL DATA; WKB APPROXIMATION; 662100; GENERAL THEORY OF PARTICLES AND FIELDS
OSTI ID:
10139892
Research Organizations:
AN Ukrainskoj SSR, Kiev (Ukraine). Inst. Teoreticheskoj Fiziki
Country of Origin:
Ukraine
Language:
English
Other Identifying Numbers:
Other: ON: DE92627215; TRN: UA9200187037617
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
23 p.
Announcement Date:
Jul 05, 2005

Citation Formats

Kobylinskij, N A, Stepanov, S S, and Tutik, R S. {Dirac_h}-expansion for Regge-trajectories. 1. The Schroedinger equation. Ukraine: N. p., 1989. Web.
Kobylinskij, N A, Stepanov, S S, & Tutik, R S. {Dirac_h}-expansion for Regge-trajectories. 1. The Schroedinger equation. Ukraine.
Kobylinskij, N A, Stepanov, S S, and Tutik, R S. 1989. "{Dirac_h}-expansion for Regge-trajectories. 1. The Schroedinger equation." Ukraine.
@misc{etde_10139892,
title = {{Dirac_h}-expansion for Regge-trajectories. 1. The Schroedinger equation}
author = {Kobylinskij, N A, Stepanov, S S, and Tutik, R S}
abstractNote = {The {Dirac_h}-expansion provides a powerfull new, complimentary to the WKB method, tool for deriving Regge-trajectories and energy eigenvalues for bound states of central potentials in the Schroedinger equation framework. Based upon the logarithmic perturbation theory in Planck`s constant, the simple recursion formulas which facilitate the calculation are presented. Numerical calculations for specific potentials widely used in the quarkonium physics illustrate the speed and accuracy of the technique. 23 refs.; 6 tabs.}
place = {Ukraine}
year = {1989}
month = {Dec}
}