Quantum chaos and statistical properties of energy levels: Numerical study of the hydrogen atom in a magnetic field

Journal Article · Mon Oct 20 04:00:00 EDT 1986 · Phys. Rev. Lett.; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.57.2006· OSTI ID:7167459

Delande, D; Gay, J C

The transition to chaos in ''the hydrogen atom in a magnetic field'' is numerically studied and shown to lead to well-defined signature on the energy-level fluctuations. Upon an increase in the energy, the calculated statistics evolve from Poisson to Gaussian orthogonal ensemble according to the regular or chaotic character of the classical motion. Several methods are employed to test the generic nature of these distributions.

• Research Organization: Laboratoire de Spectroscopie Hertzienne de la Ecole Normale Superieure, Universite Pierre et Marie Curie, 75252 Paris Cedex 05, France
• OSTI ID: 7167459
• Journal Information: Phys. Rev. Lett.; (United States), Journal Name: Phys. Rev. Lett.; (United States) Vol. 57:16; ISSN PRLTA
• Country of Publication: United States
• Language: English

Related Subjects

640302* -- Atomic
Molecular & Chemical Physics-- Atomic & Molecular Properties & Theory
74 ATOMIC AND MOLECULAR PHYSICS
CLASSICAL MECHANICS
DATA
DIFFERENTIAL EQUATIONS
ELEMENTS
ENERGY DEPENDENCE
ENERGY LEVELS
EQUATIONS
FLUCTUATIONS
FUNCTIONS
GAUSS FUNCTION
HYDROGEN
INFORMATION
MAGNETIC FIELDS
MATHEMATICS
MECHANICS
NONMETALS
NUMERICAL ANALYSIS
NUMERICAL DATA
PARTIAL DIFFERENTIAL EQUATIONS
POISSON EQUATION
QUANTUM MECHANICS
RANDOMNESS
SCHROEDINGER EQUATION
STATISTICAL MECHANICS
THEORETICAL DATA
VARIATIONS
WAVE EQUATIONS