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How many nodes are in the 6th excited state of a 1D quantum mechanical harmonic oscillator? Is this wave function even, odd, or neither?

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For a finite square well potential that has six quantized levels, if a = 10 nm (a) sketch the finite square well, (b) sketchthe wave function from x = -2a to x = +2a forn = 3, and (c) sketch the probability density for the samerange of x.
Chapter 39, Problem 009 Suppose that an electron trapped in a one-dimensional infinite well of width 144 pm is excited from its first excited state to the state with n 9. (a) What energy must be transferred to the electron for this quantum jump? The electron then de- excites back to its ground state by emitting light. In the various possible ways it can do this, what are the (b) shortest, (c) second shortest, (d) longest, and (e) second longest wavelengths that can be emitted? (a) Number Units (b) Number Units (c) Number Units (d) Number Units (e) Number Units