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Implications of classical ergodicity in quantum mechanics: P. A. Mello and M. Moshinsky. Instituto de Física, Universidad de México, México, D. F.


Publisher
Elsevier Science
Year
1972
Tongue
English
Weight
76 KB
Volume
70
Category
Article
ISSN
0003-4916

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✦ Synopsis


The generalized transport equations derived in 1 for the coupled electron-phonon system are solved in the collision-dominated regime. The solution is obtained without making any relaxationtime-approximation.

The sound velocity and the ultrasonic attenuation are calculated with the help of the equation of motion for the lattice deformation. In particular, we derive the lowest order anharmonic contribution to the sound velocity. For the attenuation, the contributions due to the viscous properties of the phonon gas and the electron gas are considered. We also take into account the thermoelastic damping.

Implications

of Classical Ergodicity in Quantum Mechanics.


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We present a formal approach, using integral equations of the Lippmann-Schwinger type, to the scattering of particles by semiinlinite periodic potentials. The two possible physical situations, scattering of free plane waves and scattering of Bloch waves, are treated with two different integral equat