STUDY OF A RELATIVISTIC QUANTUM HARMONIC OSCILLATOR BY THE METHOD OF STATE-DEPENDENT DIAGONALIZATION

H. C. Lee, K. L. Liu and C. F. Lo
Additional contact information
H. C. Lee: Department of Physics, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong
K. L. Liu: Department of Physics, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong
C. F. Lo: Department of Physics, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong

International Journal of Modern Physics C (IJMPC), 1996, vol. 07, issue 05, 645-653

Abstract: We apply the method of State-dependent Diagonalization to study the eigenstates of the relativistic quantum harmonic oscillator in the low relativistic limit. The relativistic corrections of the energy eigenvalues of the quantum harmonic oscillator are evaluated for different values of the relativistic parameterα ≡ ħω0/ m0c2. Unlike the conventional exact diagonalization, this new method is shown to be very efficient for evaluating the energy eigenvalues and eigenfunctions. We have also found that for non-zero α the eigenfunctions of the system become more localized in space and that the ground state of the SHO (i.e., theα = 0case) turns into a squeezed state. Furthermore, since our system is a special case of the quantum harmonic oscillator with a velocity-dependent anharmonic potential, this new approach should be very useful for investigating the cases with more complicated velocity-dependent anharmonic potentials.

Date: 1996
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0129183196000545
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:ijmpcx:v:07:y:1996:i:05:n:s0129183196000545

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0129183196000545

Access Statistics for this article

International Journal of Modern Physics C (IJMPC) is currently edited by H. J. Herrmann

More articles in International Journal of Modern Physics C (IJMPC) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().