You need JavaScript to view this

Exactly soluble matrix models

Technical Report:

Abstract

We study examples of one dimensional matrix models whose potentials possess an energy spectrum that can be explicitly determined. This allows for an exact solution in the continuum limit. Specifically, step-like potentials and the Morse potential are considered. The step-like potentials show no scaling behaviour and the Morse potential (which corresponds to a {gamma} = -1 model) has the interesting feature that there are no quantum corrections to the scaling behaviour in the continuum limit. (author). 5 refs.
Publication Date:
Sep 01, 1991
Product Type:
Technical Report
Report Number:
IC-91/278
Reference Number:
SCA: 661100; PA: AIX-23:015327; SN: 92000647056
Resource Relation:
Other Information: PBD: Sep 1991
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; QUANTUM MECHANICS; POTENTIALS; COUPLING CONSTANTS; EIGENVALUES; FREE ENERGY; GROUND STATES; MATRICES; PARTITION FUNCTIONS; 661100; CLASSICAL AND QUANTUM MECHANICS
OSTI ID:
10113314
Research Organizations:
International Centre for Theoretical Physics (ICTP), Trieste (Italy)
Country of Origin:
IAEA
Language:
English
Other Identifying Numbers:
Other: ON: DE92615219; TRN: XA9130269015327
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
9 p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Raju Viswanathan, R. Exactly soluble matrix models. IAEA: N. p., 1991. Web.
Raju Viswanathan, R. Exactly soluble matrix models. IAEA.
Raju Viswanathan, R. 1991. "Exactly soluble matrix models." IAEA.
@misc{etde_10113314,
title = {Exactly soluble matrix models}
author = {Raju Viswanathan, R}
abstractNote = {We study examples of one dimensional matrix models whose potentials possess an energy spectrum that can be explicitly determined. This allows for an exact solution in the continuum limit. Specifically, step-like potentials and the Morse potential are considered. The step-like potentials show no scaling behaviour and the Morse potential (which corresponds to a {gamma} = -1 model) has the interesting feature that there are no quantum corrections to the scaling behaviour in the continuum limit. (author). 5 refs.}
place = {IAEA}
year = {1991}
month = {Sep}
}