PH 253 Midterm: ph253_F10_Exam_2

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31 Jan 2019
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Ph 253 exam 2: solve four of the six problems below. Ne x x > 0: an electron in a hydrogen atom is in a state described by the wave function. The harmonic oscillator potential is v(x) = 1 ox2; a particle of mass m in this potential oscillates with frequency o. The ground state wave function for a particle in the harmonic oscillator potential has the form. A difference of 10 nm is easily measured. ) Name & cwid: find hxi, hx2i, and x =phx2i hxi2 (in terms of a) for a particle in the ground state of the one- dimensional simple harmonic oscillator, where: The following integrals may be useful: x2e ax2 dx = Z dx = z xe ax2 dx = 0 x4e ax2 dx = 8r a5 (4) (5: a particle bound in a certain one-dimensional potential has a wave function described by the following equations:

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