1) Explain why any physically realizable solution to the Schrodinger's equation must be square-integrable. [5] if...
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1) Explain why any physically realizable solution to the Schrodinger's equation must be square-integrable. [5] if 0SIsa, 2) Given that at time t 0 a particle's wave function is given by v(z,0) = A(b- 2)/(b- a). if a <rs , with A, (Az/a, 0, Otherwise a and b as constants, answer the following questions; [4] [2) [2] [2] a) Find the normalization constant A in terms of the constants a and b. b) Sketch (z,0) as a function of z. c) Where is the particle most likely to be found at time t= 0? d) What is the probability of finding the particle to the left of a? 1) Explain why any physically realizable solution to the Schrodinger's equation must be square-integrable. [5] if 0SIsa, 2) Given that at time t 0 a particle's wave function is given by v(z,0) = A(b- 2)/(b- a). if a <rs , with A, (Az/a, 0, Otherwise a and b as constants, answer the following questions; [4] [2) [2] [2] a) Find the normalization constant A in terms of the constants a and b. b) Sketch (z,0) as a function of z. c) Where is the particle most likely to be found at time t= 0? d) What is the probability of finding the particle to the left of a?
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