1. Consider the following normalized 1D wavefunction of a particle constrained to the intervalx € (0, 1):√630x²(x - 1)²,0 < x < 1x <0 or x > 1y(x) =(1)For the following parts you may express your answers where appropriate to two decimal places(rather than bothering to reduce ugly fractions).(a) What is the expected value of the position, (x), of this state?

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Answered: 1. Consider the following normalized 1D…

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 27P: Compute |(x,t)|2 for the function (x,t)=(x)sint, where is a real constant.

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1. Consider the following normalized 1D wavefunction of a particle constrained to the interval
x € (0, 1):
√630x²(x - 1)²,
0 < x < 1
x <0 or x > 1
y(x) =
(1)
For the following parts you may express your answers where appropriate to two decimal places
(rather than bothering to reduce ugly fractions).
(a) What is the expected value of the position, (x), of this state?

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$text Wave function: end text psi open parentheses x close parentheses equals square root of 630 x squared open parentheses x minus 1 close parentheses squared space space space space space space space space space f o r space 0 less or equal than x less or equal than 1 space space space a n d space 0 space o t h e r w i s e$

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