PHYSICS F/SCI.+ENGR.,V.1 (CHAP.1-20)
5th Edition
ISBN: 9780134378053
Author: GIANCOLI
Publisher: RENT PEARS
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Question
Chapter 38, Problem 14Q
To determine
Whether the probability of finding a particle in a rigid box is zero at points where the wave function for a particle is zero and to check if it means the particle cannot pass these points.
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For a particle in a box, what would the probability distribution function Ic I2 look like if the particle behaved like a classical (Newtonian) particle? Do the actual probability distributions approach this classical form when n is very large? Explain.
A particle is described one-dimensionally on the real x axis, whose wave function is shown below, where L is a problem parameter (L > 0) and c is a real number.I) Determine the probability density function of this particle. Sketch a chart of it.II) Determine the constant c as a function of the parameter L.III) Calculate the probability of finding the particle in the region 0 ≤ x ≤ L.(With X=5 and Y=3)
Q3. Consider an infinite potential well of width d. In transitions between neighboring
values of
n, particles of mass that is in a position state as:
2πχ
sin
e-iwit
d
TX
f(x. t) =
-e-iwot +
sin
(a) Proof that f (x. t) is still normalized for all value of t.
(b) Find the probability distribution P(x.t) = |f(x. t)|²
Chapter 38 Solutions
PHYSICS F/SCI.+ENGR.,V.1 (CHAP.1-20)
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