Published August 2006 | Version v1
Journal article Metadata-only

Classical and quantum integrability of Hamiltonians without scattering states

Creators

  • 1. Depto de Fisica Teorica II, Universidad Complutense, Madrid (Spain)

Description

The sufficient condition of the integrability of quantum Hamiltonian is obtained. It is proved that quantum Hamiltonian is always integrable as soon as there are no scattering states. The comparison of general properties of classical and quantum integrable systems is carried out. The statistical distribution of energies of Hamiltonians without scattering states is investigated on the Berry-Tabor hypothesis

Abstract (Russian)

Получено достаточное условие интегрируемости квантового гамильтониана: он всегда интегрируем, коль скоро в нем нет состояний рассеяния. Произведено сравнение общих свойств классических и квантовых интегрируемых систем. Исследовано статистическое распределение энергий гамильтонианов без рассеяния с использованием гипотезы Берри-Табора

Additional details

Additional titles

Original title (Russian)
Классическая и квантовая интегрируемост' гамильтонианов рассеяния

Publishing Information

Journal Title
Teoreticheskaya i Matematicheskaya Fizika
Journal Volume
148
Journal Issue
2
Journal Page Range
p. 249-268
ISSN
0564-6162
CODEN
TMFZAL

INIS

Country of Publication
Russian Federation
Country of Input or Organization
Russian Federation
INIS RN
38056000
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
ANALYTICAL SOLUTION; HAMILTONIANS; HARMONIC OSCILLATORS; QUANTUM MECHANICS; SPECTRAL DENSITY
Descriptors DEC
FUNCTIONS; MATHEMATICAL OPERATORS; MATHEMATICAL SOLUTIONS; MECHANICS; QUANTUM OPERATORS; SPECTRAL FUNCTIONS

Optional Information

Notes
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