= (sinat) 21) (-2) ¹/4 -x² /c² + (cosat) ( (cosat)(22) 114 xe RC -x22

University Physics Volume 3
17th Edition
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
Publisher:William Moebs, Jeff Sanny
Chapter7: Quantum Mechanics
Section: Chapter Questions
Problem 48P: Assume that a proton in a nucleus can be treated as if it were confined to a one-dimensional of...
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A one-particle, one-dimensional system has the state function
inat) (-2) 1140 - x ² 16² +
4= (sinat) -
+ (cosat)
32
C
1/4
re-x22
where a is a constant and c = 2.000 À. If the particle's position is measured at t = 0, estimate the probability that the result will lie between 2.000
A and 2.001 A
Transcribed Image Text:A one-particle, one-dimensional system has the state function inat) (-2) 1140 - x ² 16² + 4= (sinat) - + (cosat) 32 C 1/4 re-x22 where a is a constant and c = 2.000 À. If the particle's position is measured at t = 0, estimate the probability that the result will lie between 2.000 A and 2.001 A
Solution: when t=0, the wavefunction is
simplified as
32
Y(x, t)= (-
1
c²
-)4 xe = 2.158 *10-
6
TC
Transcribed Image Text:Solution: when t=0, the wavefunction is simplified as 32 Y(x, t)= (- 1 c² -)4 xe = 2.158 *10- 6 TC
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