Scars of symmetries in quantum chaos

Journal Article · Mon Oct 19 00:00:00 EDT 1987 · Phys. Rev. Lett.; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.59.1809· OSTI ID:6146900

Delande, D; Gay, J C

The hydrogen atom in a magnetic field is a classically chaotic Hamiltonian system. The energy-level fluctuations have been shown recently to obey a random-matrix model. Here we go beyond the statistical analysis by studying the destruction of the low-field dynamical symmetries. We especially establish the existence of scars of symmetries in the chaotic regime. The symmetry properties are no longer associated with one given level, but fractalized onto clusters of levels, generating a long-range order.

• Research Organization: Laboratoire de Spectroscopie Hertzienne de l'Ecole Normale Superieure Universite P. et M. Curie, Tour 12E01, 4 place Jussieu 75252 Paris Cedex 05, France
• OSTI ID: 6146900
• Journal Information: Phys. Rev. Lett.; (United States), Journal Name: Phys. Rev. Lett.; (United States) Vol. 59:16; 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
ATOMS
ELEMENTS
ENERGY LEVELS
FLUCTUATIONS
HAMILTONIANS
HYDROGEN
MAGNETIC FIELDS
MATHEMATICAL OPERATORS
MATRICES
MECHANICS
NONMETALS
QUANTUM MECHANICS
QUANTUM OPERATORS
VARIATIONS