Physics for Scientists and Engineers with Modern Physics
Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
Question
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Chapter 39, Problem 32P

(a)

To determine

The phase speed of matter wave associated with the free particle.

(b)

To determine

Verify that the phase speed is different from the speed at which particle carry mass and energy.

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Students have asked these similar questions
Consider a freely moving quantum particle with mass m and speed u. Its energy is E = K = 1/2mu2. (a) Determine the phase speed of the quantum wave representing the particle and (b) show that it is different from the speed at which the particle transports mass and energy.
A physicist makes many measurements of the frequency of light emitted when a electron transitions from a particular excited state of an ion. For the system she is studying, the only allowed transition from the excited state is to the ground state. Her measurements have an average value of favg=2.13×1015 Hz with a standard deviation of ?f=17.4×106 Hz. What is the minimum lifetime Δtmin of the excited state in seconds?
Q#2 (a) The relation for total energy (E) and momentum (p) for a relativistic particle is E = c² p² + m²c*, where m is the rest mass and c is the velocity of light. Using the relativistic relations E = h w and p = hk, where w is the angular frequency and k is the wave number, show that the product of group velocity and the phase velocity is equal to c2.
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