A Comment on Dynamical Chaos in Classical and Quantum Mechanical Hamiltonian Systems

1983 ◽  
pp. 423-465
Author(s):  
Stuart A. Rice
Keyword(s):  
Hamiltonian Systems ◽  
Quantum Mechanical ◽  
Dynamical Chaos

scholarly journals Hamiltonian Systems with Spin

1969 ◽  
Vol 12 (2) ◽  
pp. 203-208
Author(s):  
J. E. Marsden
Keyword(s):  
Hamiltonian Systems ◽  
Riemannian Manifolds ◽  
Mechanical Systems ◽  
Point Of View ◽  
Quantum Mechanical ◽  
Physical Point ◽  
Quantum Mechanical Systems ◽  
Mathematical Foundations

In this note we give a brief exposition of the mathematical foundations of the theory of spin for both classical and quantum mechanical systems on oriented Riemannian manifolds. We shall use freely the notations and theory developed in Abraham [1] and Marsden [2, 3], From the physical point of view nothing new appears. The whole purpose of the note is to explain how the theory fits in the spirit of [1].

COHERENT STATES AND QUANTUM DYNAMICS OF NON-LINEAR SYSTEMS

1996 ◽  
Vol 08 (08) ◽  
pp. 1061-1082 ◽  
Author(s):  
Z. HABA
Keyword(s):  
Wave Packet ◽  
Coherent State ◽  
Linear Systems ◽  
Hamiltonian Systems ◽  
Coherent States ◽  
Quantum Dynamics ◽  
Quantum Mechanical ◽  
Angle Variable ◽  
Integrable Hamiltonian Systems ◽  
Non Linear Systems

We discuss a quantum-mechanical analog of the classical angle variable. A localized wave packet is constructed generalizing the conventional coherent state of minimal uncertainty. For small ħ the wave packet moves along a certain trajectory close to the classical torus. In a class of integrable Hamiltonian systems we estimate that the wave packet preserves its shape at least for times of order [Formula: see text].

Dynamical chaos in magnetic systems

1992 ◽  
Vol 162 (7) ◽  
pp. 81 ◽  
Author(s):  
K.N. Alekseev ◽  
G.P. Berman ◽  
V.I. Tsifrinovich ◽  
A.M. Frishman
Keyword(s):  
Dynamical Chaos ◽  
Magnetic Systems
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