Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

ENERGY LEVEL SPACING DISTRIBUTIONS

Journal Article · · Nuclear Physics (Netherlands) Divided into Nucl. Phys. A and Nucl. Phys. B
The probability function P/sup 1/(s) for the next-nearest neighbor spacing in the infinite dimensional limit, is computed and compared with Porter's result for 3 x 3 random real symmetric matrices. The probability function for DysOn's unitary ensemble BETA = 2; P/sup o/(s; 2), for the nearest neighbor spacing, is also computed. It is compared with results for 2 x 2 random hermitian matrices. (auth)
Research Organization:
Brookhaven National Lab., Upton, N.Y.
NSA Number:
NSA-17-019285
OSTI ID:
4727982
Report Number(s):
BNL-6392; 0029-5582
Journal Information:
Nuclear Physics (Netherlands) Divided into Nucl. Phys. A and Nucl. Phys. B, Journal Name: Nuclear Physics (Netherlands) Divided into Nucl. Phys. A and Nucl. Phys. B Vol. Vol: 41; ISSN NUPHA
Country of Publication:
United States
Language:
English

Similar Records

STATISTICAL THEORY OF THE ENERGY LEVELS OF COMPLEX SYSTEMS. PART V
Journal Article · Wed May 01 00:00:00 EDT 1963 · Journal of Mathematical Physics (New York) (U.S.) · OSTI ID:4686697

Almost Hermitian Random Matrices: Crossover from Wigner-Dyson to Ginibre Eigenvalue Statistics
Journal Article · Tue Jul 01 00:00:00 EDT 1997 · Physical Review Letters · OSTI ID:527047

STATISTICAL FLUCTUATIONS OF ENERGY LEVELS: THE UNITARY ENSEMBLE
Journal Article · Tue Oct 01 00:00:00 EDT 1963 · Nuclear Physics (Netherlands) Divided into Nucl. Phys. A and Nucl. Phys. B · OSTI ID:4124800