Show that for those waves whose angular frequency o and wave number k obey the dispersion relation kc = of + constant, the product of the phase and group velocities is equal to c, VgU ph = c, where c is the speed of light.

Modern Physics
3rd Edition
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Chapter5: Matter Waves
Section: Chapter Questions
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Show that for those waves whose angular frequency o and wave number k obey the dispersion
relation k?c = o + constant, the product of the phase and group velocities is equal to c,
Vg0 ph = c, where c is the speed of light.
Transcribed Image Text:Show that for those waves whose angular frequency o and wave number k obey the dispersion relation k?c = o + constant, the product of the phase and group velocities is equal to c, Vg0 ph = c, where c is the speed of light.
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