Published 2005 | Version v1
Miscellaneous

Relativistic harmonic oscillator

  • 1. Inst. for Theoretical Physics, University Vienna (Austria)
  • 2. Department of modern Physics, University of Science and Technology of China, Hefei (China)
  • 3. Inst. of High Energy Physics, Austrian Academy of Science (Austria)

Description

Full text: We study the semirelativistic Hamiltonian operator composed of the relativistic kinetic energy and a static harmonic-oscillator potential in three spatial dimensions and construct, for bound states with vanishing orbital angular momentum, its eigenfunctions in compact form, i.e., as power series, with expansion coefficients determined by an explicitly given recurrence relation. The corresponding eigenvalues are fixed by the requirement of normalizability of the solutions. (author)

Part of:
55. Annual symposium of the Austrian Physical Society. Abstracts

Additional details

Additional titles

Original title (English)
55. Jahrestagung der Oesterreichischen Physikalischen Gesellschaft. Kurzfassungen

Publishing Information

Publisher
Fakultaet fuer Physik, Universitaet Wien
Imprint Place
Vienna (Austria)
Imprint Title
55. Annual symposium of the Austrian Physical Society. Abstracts
Imprint Pagination
206 p.
Journal Page Range
p. 63
Report number
INIS-AT--0068

Conference

Title
55. Annual symposium of the Austrian Physical Society
Original Conference Title
55. Jahrestagung der Oesterreichischen Physikalischen Gesellschaft
Dates
27-29 Sep 2005
Place
Vienna (Austria)

INIS

Country of Publication
Austria
Country of Input or Organization
Austria
INIS RN
37084220
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Resource subtype / Literary indicator
Conference, Non-conventional Literature
Descriptors DEI
BOUND STATE; EIGENFUNCTIONS; HAMILTONIANS; HARMONIC OSCILLATORS; KINETIC ENERGY; THREE-DIMENSIONAL CALCULATIONS
Descriptors DEC
ENERGY; FUNCTIONS; MATHEMATICAL OPERATORS; QUANTUM OPERATORS

Optional Information

Notes
Imprint:55. Jahrestagung der Oesterreichischen Physikalischen Gesellschaft. Kurzfassungen