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

Physica A Statistical Mechanics and its Applications

A unified treatment of dynamics and scattering in classical and quantum statistical mechanics

Eduard Prugovečki

Published Apr 1, 1978• 23 citations
Publisher
DOI
10.1016/0378-4371(78)90068-7

Related papers

An unified presentation of equilibrium distributions in classical and quantum statistical mechanics

Henryk Gzyl

Annales De L Institut Henri Poincare-physique Theorique•Jan 1, 1980•0 citations

Foundations of Classical and Quantum Statistical Mechanics

Elsevier eBooks•Jan 1, 1963•129 citations

Classical Limit of Fredholm Theory for Elastic and Inelastic Scattering; Inability of Phase Space Integrals to Describe Inelastic Transitions

William Hughes Miller

Using a classical phase space integral to approximate certain quantum mechanical operations, the classical limit of the Fredholm determinant for a general multichannel scattering system is derived. This statistical form of the classical limit of scattering is found to give exactly the same ``classical S matrix'' for the case of potential scattering as does a dynamical treatment of the classical limit. For inelastic scattering, however, the classical S matrix which results from this Fredholm determinant is only an approximation to that obtained by exact classical dynamics. Reasons for this failure of the statistical version of the classical limit for inelastic scattering are discussed.

The Journal of Chemical Physics•Jan 15, 1972•8 citations

Interactions of Photons and Neutrons with Matter

Sow‐Hsin Chen, Michael Kotlarchyk

An Overview of Classical Mechanics The Transition to Quantum Mechanics Classical Treatment of Electromagnetic Fields and Radiation Quantum Properties of the Field Time-Dependent Perturbation Theory, Transition Probabilities, and Scattering The Density Operator and Its Role in Quantum Statistics First-Order Radiation Processes Second-Order Processes and the Scattering of Photons Principles of Nuclear Magnetic Resonance Theory of Photon Counting Statistics Dynamic Structure Factors Linear Response Theory.

WORLD SCIENTIFIC eBooks•Mar 1, 2007•23 citations

Foundations of classical and quantum statistical mechanics

Daniel R. Frankl

Pergamon Press eBooks•Jan 1, 1967•1 citation

Dynamics in Quantum Statistical Mechanics

Derek W. Robinson

Springer eBooks•Jan 1, 1978•3 citations
Using a classical phase space integral to approximate certain quantum mechanical operations, the classical limit of the Fredholm determinant for a general multichannel scattering system is derived. This statistical form of the classical limit of scattering is found to give exactly the same ``classical S matrix'' for the case of potential scattering as does a dynamical treatment of the classical limit. For inelastic scattering, however, the classical S matrix which results from this Fredholm determinant is only an approximation to that obtained by exact classical dynamics. Reasons for this failure of the statistical version of the classical limit for inelastic scattering are discussed.
An Overview of Classical Mechanics The Transition to Quantum Mechanics Classical Treatment of Electromagnetic Fields and Radiation Quantum Properties of the Field Time-Dependent Perturbation Theory, Transition Probabilities, and Scattering The Density Operator and Its Role in Quantum Statistics First-Order Radiation Processes Second-Order Processes and the Scattering of Photons Principles of Nuclear Magnetic Resonance Theory of Photon Counting Statistics Dynamic Structure Factors Linear Response Theory.