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A particle with mass m is in a one-dimensional simple harmonic oscillator potential. At time t = 0 it is described by the state where lo and l) are normalised energy eigenfunctions corresponding to e...

A particle with mass m is in a one-dimensional simple harmonic oscillator potential. At time t = 0 it is described by the sta

A particle with mass m is in a one-dimensional simple harmonic oscillator potential. At time t = 0 it is described by the state where lo and l) are normalised energy eigenfunctions corresponding to energies E and Ey and b and c are real constants. (a) Find b and c so that (x) is as large as possible. b) Write down the wavefunction of this particle at a time t later c)Caleulate (x) for the particle at time t (d) The Hamiltonian for the one-dimensional simple harmonic oscillator potential is (i) Calculate the commutator [H,x]. You can use ip,-ih without proof. (ii) What is the implication of the value you obtained for the commutator for the expectation value of r?
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l-b2- 2 Mm 2 mw 201 2m 2 hm 2 rm rm d丈, 尤 lot

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A particle with mass m is in a one-dimensional simple harmonic oscillator potential. At time t = 0 it is described by the state where lo and l) are normalised energy eigenfunctions corresponding to e...
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