Scattering and Structures by Bogdan Povh & Mitja Rosina

Author:Bogdan Povh & Mitja Rosina
Language: eng
Format: epub
Publisher: Springer Berlin Heidelberg, Berlin, Heidelberg

Energy conservation implies that

(10.1)

where is the speed after the production of the excitation. Momentum conservation additionally requires

(10.2)

It is easy to see that the phonon excitation first occurs when the sphere moves with a speed . Squaring (10.2) implies

(10.3)

or, more briefly,

(10.4)

The minimal value for the size of the velocity at which dissipation can take place is when the momentum of the excitation and the velocity of the sphere are parallel. If we consider a massive sphere, , then the condition for the velocity below which dissipation is not possible is

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