Answered: (a) Certain ocean waves travel with a…

(a) Certain ocean waves travel with a phase velocity Vp=V(gv27), where g is the acceleration due to gravity. What is the group velocity of a "wave packet" of these waves?

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

Problem 15P: Show that the group velocity for a nonrelativistic free electron is also given by , where is the...

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Concept explainers

Connection formulae for WKB approximation

In quantum mechanics, Schrödinger’s equation for certain systems with varying parameters cannot be solved directly. In such a case, an approximation method is used to obtain the approximate solution. WKB method is a special technique used to obtain the approximate solution for Schrödinger’s time-independent equation. In general, the WKB method is used to solve linear differential equations with varying coefficients. This method is called semiclassical approximation in quantum mechanics.

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(a) Certain ocean waves travel with a phase velocity Vp =V(g/27), where g is the acceleration
due to gravity. What is the group velocity of a "wave packet" of these waves?
(b) Calculate the two longest wavelengths of the Balmer series of triply ionized beryllium (Z= 4).

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