Published May 2008 | Version v1
Journal article Metadata-only

Lowest eigenvalues of random Hamiltonians

Creators

  • 1. Department of Physics, Shanghai Jiao Tong University, Shanghai 200240 (China)
  • 2. CCAST, World Laboratory, P. O. Box 8730, Beijing 100080 (China)
  • 3. Nishina Center, Institute of Physical Chemical Research (RIKEN), Hirosawa 2-1, Wako-shi, Saitama 351-0198 (Japan)
  • 4. Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lanzhou 730000 (China)
  • 5. Science Museum, Japan Science Foundation, 2-1 Kitanomaru-koen, Chiyoda-ku, Tokyo 102-0091 (Japan)
  • 6. Department of Physics, Saitama University, Saitama 338-8570 (Japan)

Description

In this article we study the lowest eigenvalues of random Hamiltonians for both fermion and boson systems. We show that an empirical formula of evaluating the lowest eigenvalues of random Hamiltonians in terms of energy centroids and widths of eigenvalues is applicable to many different systems. We improve the accuracy of the formula by considering the third central moment. We show that these formulas are applicable not only to the evaluation of the lowest energy but also to the evaluation of excited energies of systems under random two-body interactions

Additional details

Identifiers

DOI
10.1103/PhysRevC.77.054312;
arXiv
arXiv:0801.2031v1;

Publishing Information

Journal Title
Physical Review. C, Nuclear Physics
Journal Volume
77
Journal Issue
5
Journal Page Range
p. 054312-054312.5
ISSN
0556-2813
CODEN
PRVCAN

INIS

Country of Publication
United States
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
40062240
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
ACCURACY; BOSONS; EIGENVALUES; EVALUATION; FERMIONS; HAMILTONIANS; INTERACTIONS; RANDOMNESS; TWO-BODY PROBLEM
Descriptors DEC
MANY-BODY PROBLEM; MATHEMATICAL OPERATORS; QUANTUM OPERATORS

Optional Information

Notes
(c) 2008 The American Physical Society