Given the following state vector of the one-dimensional harmonic oscillator126)=1√62100Calculate the following quantities(a) Expectation value of the Hamiltonian, (Ĥ) in that state.(b) (x) and (x²) in that state.(c) (p) and (p²) in that state.

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Answered: Given the following state vector of the…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter11: Differential Equations

Section11.CR: Chapter 11 Review

Problem 12CR

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Given the following state vector of the one-dimensional harmonic oscillator 126) = 1 √6 2 1 0 0 Calculate the following quantities (a) Expectation value of the Hamiltonian, (Ĥ) in that state. (b) (x) and (x²) in that state. (c) (p) and (p²) in that state.