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Consider a particle of mass m in a one-dimensional system (coordinate x) with attractive potential energy V (x) = − A (x 2 + a 2 ) s , (1) where A > 0, a > 0 and s > 0 are positive system parameters. Use the semi-classical (Bohr-Sommerfeld) quantization rule to find out for which values of exponent s this potential would support an infinite (as opposed to finite!) number of bound states. (You do NOT need to find those bound states to answer the question!)
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Consider a particle of mass m in a one-dimensional system (coordinate x) with attractive potential e...
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