Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

The Journal of Chemical Physics

Response to ‘‘Comment on: ‘A quantum analog to the classical quasiperiodic motion’’’

Gabriel Hose, Howard S. Taylor

Published May 1, 1983• 5 citations
Publisher

Abstract

The comments Mukamel2 on a previous paper by the authors1, regarding the quantum analog to quasiperiodic motion in classical mechanics are answered. The effective Hamiltonian is defined for each state and yields the quasiconstants of the motion for the state of interest. This is not the Heff given by Mukamel2. (AIP)
DOI
10.1063/1.445433

Related papers

Comment on: ‘‘A quantum analog to the classical quasiperiodic motion’’

Shaul Mukamel

The Journal of Chemical Physics•May 1, 1983•7 citations

Reply to “Comment on ‘Identical motion in classical and quantum mechanics’ ”

Adam J. Makowski, S. Konkel

We show briefly that claims in the preceding Comment by Mostafazadeh [Phys. Rev. A 60, 5144 (1999)] are based mostly on an empty premise.Received 14 June 1999DOI:https://doi.org/10.1103/PhysRevA.60.5146©1999 American Physical Society

Physical Review A•Dec 1, 1999•2 citations

Comment on the classical models of electrons and nuclei and the generalizations of classical Poisson brackets to include spin

M. Lakshmanan, M. Daniel

We point out the close analogy between the canonical equations of motion for molecular systems consisting of electrons and nuclei interacting with an electromagnetic field discussed recently by Yang and Hirschfelder and the equations of motion for spin systems in condensed matter physics. Specifically, we treat the Heisenberg ferrmagnetic spin chain and discuss the close connection with the equations derived for a Breit–Pauli Hamiltonian. (AIP)

The Journal of Chemical Physics•Jun 15, 1983•7 citations

Complex-valued classical trajectories for tunneling and well-defined paths

Thomas F. George

A paper by Hirschfelder, Christoph, and Palke has suggested analogies between quantum streamlines and complex−valued classical trajectories in a semiclassical treatment of tunneling in reactive molecular collisions. This Comment points out that there are basic differences between trajectories and the streamlines and that care must be taken ataching any physical significance to complex−valued trajectories or in relating them to quantum mechanical quantities such as streamlines. (AIP)

The Journal of Chemical Physics•Jan 15, 1975•2 citations

Classical and quantum dynamics of a spin-½

Adrian Alscher, Hermann Grabert

We reply to a comment on `Semiclassical dynamics of a spin-½ in an arbitrary magnetic field'.

arXiv:quant-ph/0004046•Journal of Physics A Mathematical and General•May 3, 2000•0 citations

The influence of quantization on the onset of chaos in Hamiltonian systems: The Kolmogorov entropy interpretation

Ronnie Kosloff, Stuart A. Rice

An extension of the concept of Kolmogorov entropy to quantum mechanical systems is given. Using the Kolmogorov entropy as a common basis for discussion, the onset of chaotic motion in classical mechanical and quantum mechanical systems is compared. It is found that if the spectrum of the system is discrete, the Kolmogorov entropy is zero, and therefore that a bounded quantum mechanical system cannot have chaotic motion like that observed for a corresponding classical mechanical system. This analysis leads to the prediction that if the distributions of states are similar for two bounded systems which in the classical limit have, respectively, quasiperiodic and chaotic motion, wave packets for the two systems decay at similar rates as found by Brumer and Shapiro. The relationship between the defined Kolmogorov entropy, previous interpretations of ’’KAMlike’’ onset of chaos in quantum mechanical systems, and the role played by preparation and observation of a system in influencing the intramolecular dynamics, are discussed.

The Journal of Chemical Physics•Jan 15, 1981•92 citations
An extension of the concept of Kolmogorov entropy to quantum mechanical systems is given. Using the Kolmogorov entropy as a common basis for discussion, the onset of chaotic motion in classical mechanical and quantum mechanical systems is compared. It is found that if the spectrum of the system is discrete, the Kolmogorov entropy is zero, and therefore that a bounded quantum mechanical system cannot have chaotic motion like that observed for a corresponding classical mechanical system. This analysis leads to the prediction that if the distributions of states are similar for two bounded systems which in the classical limit have, respectively, quasiperiodic and chaotic motion, wave packets for the two systems decay at similar rates as found by Brumer and Shapiro. The relationship between the defined Kolmogorov entropy, previous interpretations of ’’KAMlike’’ onset of chaos in quantum mechanical systems, and the role played by preparation and observation of a system in influencing the intramolecular dynamics, are discussed.