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1. An particle in an infinite square well is described by the wavefunction А v(x) t= ) 2012 (x2-LV ? where A is a consta
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1. An particle in an infinite square well is described by the wavefunction А v(x) t= ) 2012 (x2-LV ? where A is a consta
1. An particle in an infinite square well is described by the wavefunction А v(x) t= ) 2012 (x2-LV ? where A is a constant and L(0<x<L) is the width of the well. (a) Find the constant A that normalizes y. (b) What is the probability of the particle being found in the ground state of the well? Do the necessary integration and use the table of integrals if necessary. (c) Where is the particle most likely to be found? (d) Calculate (x) for the particle and compare your result with its most likely position. Comment on any differences you may find. (e) Does this wavefunction belong to any specific state? Comment on it!
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