Consider a particle confined in an infinite potential well as shown below and its wave function Solve the following problems. is derived as √(x) = A sin (TA), and energy E= H U 0 U=0 a x πλη 2ma² €30 (iii) Calculate the value of A. [Hint: The probability of finding the particle in 0

Delmar's Standard Textbook Of Electricity
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ISBN:9781337900348
Author:Stephen L. Herman
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Chapter19: Capacitors
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Consider a particle confined in an infinite potential well as shown below and its wave function
Solve the following problems.
is derived as √(x) = A sin (TA), and energy E=
H
U
0
U=0
a
x
πλη
2ma²
€30
(iii)
Calculate the value of A. [Hint: The probability of finding the particle in 0<x<a is 1]
Find the expression of (x) using the value of A and sketch it.
Calculate E for a = 1×10-6
m,
and m = 9.1×10³¹ kg.
Transcribed Image Text:Consider a particle confined in an infinite potential well as shown below and its wave function Solve the following problems. is derived as √(x) = A sin (TA), and energy E= H U 0 U=0 a x πλη 2ma² €30 (iii) Calculate the value of A. [Hint: The probability of finding the particle in 0<x<a is 1] Find the expression of (x) using the value of A and sketch it. Calculate E for a = 1×10-6 m, and m = 9.1×10³¹ kg.
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