A superparticle on the super Riemann surface
Creators
- 1. Osaka City Univ. (Japan). Dept. of Physics
Description
Free motion of a nonrelativistic superparticle on the super Riemann surface (SRS) of genus h ≥ 2 is investigated. Geodesics or classical paths are given explicitly on the super Poincare upper half plane SH, a universal covering space of the SRS, and the paths with some suitable initial conditions yield periodic orbits on the SRS. The periodic orbits are unstable and the system is chaotic. Quantum mechanics is solved on the universal covering space SH. And the heat kernel is given on the SRS. This leads a super analog of the Selberg trace formula. The Selberg super zeta function is introduced whose zero-points and poles determine the energy spectrum on the SRS. (author)
Availability note (English)
MF available from INIS under the Report Number.
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Additional details
Publishing Information
- Imprint Pagination
- 72 p.
- Report number
- RRK--89-12
INIS
- Country of Publication
- Japan
- Country of Input or Organization
- Japan
- INIS RN
- 20080988
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- CLASSICAL MECHANICS; ENERGY SPECTRA; GEODESICS; QUANTUM MECHANICS; RIEMANN SPACE; TRAJECTORIES
- Descriptors DEC
- MATHEMATICAL SPACE; MECHANICS; SPACE; SPECTRA