Published February 15, 2010
| Version v1
Journal article
Spiky membranes
Creators
- 1. M. Smoluchowski Institute of Physics, Jagiellonian University, Reymonta 4, 30-059 Krakow (Poland)
Description
We study spiky configurations of membranes in the SO(d)xSU(N) invariant matrix models. A class of exact solutions (analogous to plane-waves) of the corresponding Schroedinger equation for an arbitrary N is discussed. If the large N limit is performed so that the energy scales like N2, the N=∞ wavefunctions reduce to the ground state of the d-dimensional harmonic oscillator.
Availability note (English)
Available from http://dx.doi.org/10.1016/j.physletb.2010.01.023Additional details
Identifiers
- DOI
- 10.1016/j.physletb.2010.01.023;
- arXiv
- arXiv:0910.3870v1;
- PII
- S0370-2693(10)00065-1;
Publishing Information
- Journal Title
- Physics Letters. Section B
- Journal Volume
- 684
- Journal Issue
- 4-5
- Journal Page Range
- p. 256-261
- ISSN
- 0370-2693
- CODEN
- PYLBAJ
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 41090049
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- EXACT SOLUTIONS; GROUND STATES; HARMONIC OSCILLATORS; MATRICES; SCHROEDINGER EQUATION; SO GROUPS; SU GROUPS; WAVE FUNCTIONS; WAVE PROPAGATION
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; ENERGY LEVELS; EQUATIONS; FUNCTIONS; LIE GROUPS; MATHEMATICAL SOLUTIONS; PARTIAL DIFFERENTIAL EQUATIONS; SYMMETRY GROUPS; WAVE EQUATIONS
Optional Information
- Copyright
- Copyright (c) 2010 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.