Published July 1999 | Version v1
Journal article

Symmetry breaking and chaos

  • 1. Peterburgskij Inst. Yadernoj Fiziki RAN, Gatchina (Russian Federation)

Description

The connection is analyzed between the symmetries of the Hamiltonian systems in classical and quantum mechanics and their regularity or chaoticity. The previously suggested quantitative criterion of quantum chaoticity, borrowed from the nuclear compound-resonance theory is used for the analysis of the quantum diamagnetic Kepler problem (the charged spinless particle motion in the Coulomb and homogeneous magnetic fields)

Abstract (Russian)

Анализируется связь между симметриями гамильтоновских систем в классической и квантовой механике и их регулярностью или хаотичностью. Ранее предложенный количественный критерий квантовой хаотичности, заимствованный из теории резонансов компаунд-ядра, используется для анализа квантовой диамагнитной задачи Кеплера (движение бесспиновой заряженной частицы в кулоновском и однородном магнитном поле)

Additional details

Additional titles

Original title (Russian)
Нарушение симметрий и хаос

Publishing Information

Journal Title
Yadernaya Fizika
Journal Volume
62
Journal Issue
7
Journal Page Range
p. 1172-1178
ISSN
0044-0027
CODEN
IDFZA7

Conference

Title
new methods in theory and experiment
Original Conference Title
Fizika mnogochastichnykh sistem. Novye metody v teorii i ehksperimente
Acronym
Physics of multiparticle systems
Dates
29 Sep 1998
Place
Moscow (Russian Federation)

INIS

Country of Publication
Russian Federation
Country of Input or Organization
Russian Federation
INIS RN
31035296
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Resource subtype / Literary indicator
Conference
Descriptors DEI
COMPOUND NUCLEI; COULOMB FIELD; HAMILTONIANS; MATRICES; MATRIX ELEMENTS; PERTURBATION THEORY; PHASE SPACE; PROBABILITY; QUANTUM MECHANICS; STRENGTH FUNCTIONS; SYMMETRY; SYMMETRY BREAKING
Descriptors DEC
ELECTRIC FIELDS; FUNCTIONS; MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; MECHANICS; QUANTUM OPERATORS; SPACE

Optional Information

Notes
18 refs., 3 figs.