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Wave chaos in quantized classically nonchaotic systems

Petr Šeba, Karol Życzkowski

We discuss the properties of the wave chaos appearing in some quantized systems that are classically not chaotic.Received 10 December 1990DOI:https://doi.org/10.1103/PhysRevA.44.3457©1991 American Physical Society

Physical Review ASep 1, 199139 citations

Chaos and Special Features of Quantum Systems under External Perturbations

Giulio Casati, Italo Guarneri

The authors prove, by considering a simple, exactly solvable model, that quantum systems under external perturbations may display a chaotic motion analogous to the corresponding classical ones.

Physical Review LettersFeb 28, 198327 citations

Finite Hubbard Model with Phonon Coupling

W.‐H. Steeb, J. A. Louw, C. M. Villet +1 more

The spectrum of the two point Hubbard model with phonon coupling is studied. In particular the connection with quantum chaos is discussed.

Physica ScriptaSep 1, 19864 citations

Propensity rules: An analytical approach

U. Fano

Physical Review AJul 1, 1985160 citations

Introduction

Giulio Casati, Boris Chirikov

The present collection of papers is devoted to a rather new and very controversial topic, the so-called “quantum chaos”. Some researchers see nothing essentially new at all in this phenomenon (apart from a number of various examples and models), and they have good reason to believe so. Indeed, the problems in this field all belong to the traditional, “old-fashion”, and rather “simple” quantum mechanics of finite-dimensional systems with a given interaction and no quantized fields. Nevertheless, many, including ourselves, consider quantum chaos to be a new discovery, though in an old field, of a great importance for fundamental physics. To understand this, the phenomenon of quantum chaos should be put into its proper perspective in recent developments in physics. The central point of this perspective is the conception of dynamical chaos (also a rather new topic) in classical mechanics (for a good review see, e.g., Refs.[l-3]). Thus before discussing the current understanding of quantum chaos we need briefly to describe classical dynamical chaosThe present collection of papers is devoted to a rather new and very controversial topic, the so-called “quantum chaos”. Some researchers see nothing essentially new at all in this phenomenon (apart from a number of various examples and models), and they have good reason to believe so. Indeed, the problems in this field all belong to the traditional, “old-fashion”, and rather “simple” quantum mechanics of finite-dimensional systems with a given interaction and no quantized fields. Nevertheless, many, including ourselves, consider quantum chaos to be a new discovery, though in an old field, of a great importance for fundamental physics. To understand this, the phenomenon of quantum chaos should be put into its proper perspective in recent developments in physics. The central point of this perspective is the conception of dynamical chaos (also a rather new topic) in classical mechanics (for a good review see, e.g., Refs.[l-3]). Thus before discussing the current understanding of quantum chaos we need briefly to describe classical dynamical chaos

Cambridge University Press eBooksApr 27, 19950 citations

Reply to ‘‘Stark broadening of potassium lines’’

John P. Hohimer

When our experimental Stark widths of potassium ns-4p and nd-4p lines are reanalyzed, we find good agreement with theory.Received 5 February 1985DOI:https://doi.org/10.1103/PhysRevA.32.676©1985 American Physical Society

Physical Review AJul 1, 19852 citations

Quantum chaos and two exactly solvable second-quantized models

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Quantum chaos and two exactly solvable second-quantized models

Abstract

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