Quantum‐Mechanical Kinetic Theory of Loaded Spheres. II. The Classical Limit

1967 ◽  
Vol 46 (4) ◽  
pp. 1252-1264 ◽  
Author(s):  
John J. Mueller ◽  
C. F. Curtiss
Keyword(s):  
Kinetic Theory ◽  
Classical Limit ◽  
Quantum Mechanical

scholarly journals Semi-Classical Localisation Properties of Quantum Oscillators on a Noncommutative Configuration Space

2015 ◽  
Vol 22 (04) ◽  
pp. 1550021 ◽  
Author(s):  
Fabio Benatti ◽  
Laure Gouba
Keyword(s):  
Phase Space ◽  
Configuration Space ◽  
Classical Limit ◽  
Coherent States ◽  
Point Of View ◽  
Quantum Mechanical ◽  
Wigner Functions ◽  
Quantum Mechanical Oscillators ◽  
Mechanical Oscillators ◽  
Space Noncommutativity

When dealing with the classical limit of two quantum mechanical oscillators on a noncommutative configuration space, the limits corresponding to the removal of configuration-space noncommutativity and position-momentum noncommutativity do not commute. We address this behaviour from the point of view of the phase-space localisation properties of the Wigner functions of coherent states under the two limits.

Quantum-mechanical and classical-limit coupled-channels calculations for very heavy systems

1981 ◽  
Vol 24 (6) ◽  
pp. 2747-2750 ◽  
Author(s):  
M. J. Rhoades-Brown ◽  
R. J. Donangelo ◽  
M. W. Guidry ◽  
R. E. Neese
Keyword(s):  
Classical Limit ◽  
Quantum Mechanical ◽  
Coupled Channels

Electron interactions and quantum plasma physics

1968 ◽  
Vol 2 (4) ◽  
pp. 517-541 ◽  
Author(s):  
Elizabeth A. Rauscher
Keyword(s):  
Classical Limit ◽  
Particle Interaction ◽  
Electron Plasma ◽  
Easy Access ◽  
Quantum Plasma ◽  
Quantum Mechanical ◽  
Debye Screening Length ◽  
Plasma Particle ◽  
Order Of Magnitude ◽  
Density Plasma

The ‘quantum electrodynamics’ of the scattering of radiation from a fully ionized, interacting plasma is to be considered.The plasma particle interaction must properly be treated quantum mechanically when the electron plasma wave phonon energies are comparable to or greater than the mean random electron energies and/or when the phonon momenta are of the order of magnitude or greater than the average electron momenta in the plasma.In these two circumstances or either one of them, the plasma particle inter action must be treated in a quantum mechanical manner. The ‘solid-state’ plasma recently discussed by D.E.McCumber is an example of a quantum plasma.Whether a classical or a quantum plasma is considered, the collective properties, as well as the single-particle properties, need to be considered. The collective properties of the plasma become important when it interacts with a radiation field in the case where the electron plasma frequency, ωp, is of the same order of magnitude, or exceeds, the operating radiation frequency ω, i.e. ωp≥ω.A criterion to distinguish the properties of a plasma as to whether it is classical or quantum mechanical in nature can be defined in terms of three fundamental lengths of the electron gas. These definitions hold for a one-component plasma. They are: the classical length βe2, the Debye screening length and the thermal de Broglie wavelength defined as 1/kT. From these three quantities, we can define two dimensionless parameters. They are the classical parameter and the quantum parameter δ=λ/λD which is a measure of the quantum effects. For a quantum plasma δ>1 and in the classical limit (h = 0),δ=0, Λ<1.When we take into account the collective behaviour characterized by the plasma oscillations, screening effects are an automatic aspect of the electron plasma gas.It is hoped that the present review article will provide the background material for general understanding of the field and easy access to the current literature. It is also hoped that the present discussion will establish greater interest in this subject.As an example of a calculation of plasma properties, a calculation of the generalized dielectric constant for both a low-density plasma in the classical limit and a high-density plasma in the quantum mechanical limit is performed and compared in a suitable manner.

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