Published November 6, 2002 | Version v1
Journal article Metadata-only

Geometry of random interactions

Creators

  • 1. GANIL, BP 55027, F-14076 Caen Cedex 5 (France)
  • 2. Centro de Ciencias Fisicas, UNAM, AP 139-B, 62251 Cuernavaca (Mexico)
  • 3. Instituto de Ciencias Nucleares, UNAM, AP 70-543, 04510 Mexico DF (Mexico)
  • 4. University of Leuven, Instituut voor Kern- en Stralingsfysica, Celestijnenlaan 200D, B-3001 Leuven (Belgium)

Description

It is argued that spectral features of quantal systems with random interactions can be given a geometric interpretation. This conjecture is investigated in the context of two simple models: a system of randomly interacting d bosons and one of randomly interacting fermions in a j = (7/2) shell. In both examples the probability for a specific state to become the ground state is shown to be related to a geometric property of a (hyper)polyhedron which is interaction-independent and is determined solely by particle number, shell size and symmetry character of the state. Extensions of these ideas to more general situations are discussed

Additional details

Identifiers

DOI
10.1063/1.1517959;

Publishing Information

Journal Title
AIP Conference Proceedings
Journal Volume
638
Journal Issue
1
Journal Page Range
p. 180-187
ISSN
0094-243X
CODEN
APCPCS

Conference

Title
International conference on nuclear structure
Acronym
Mapping the triangle
Dates
22-25 May 2002
Place
Grand Teton National Park, WY (United States)

INIS

Country of Publication
United States
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
35087270
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; S73: NUCLEAR PHYSICS AND RADIATION PHYSICS;
Resource subtype / Literary indicator
Conference
Descriptors DEI
FERMIONS; GROUND STATES; INTERACTING BOSON MODEL; PROBABILITY; RANDOMNESS; SYMMETRY
Descriptors DEC
ENERGY LEVELS; MATHEMATICAL MODELS; NUCLEAR MODELS; SHELL MODELS

Optional Information

Notes
(c) 2002 American Institute of Physics