The probability density for finding a particle at position
Chapter 39, Problem 39.61(choose chapter or problem)
The probability density for finding a particle at position x is P1x2 = a 11 - x2 -1 mm x 6 0 mm b11 - x2 0 mm x 1 mm and zero elsewhere. a. You will learn in Chapter 40 that the wave function must be a continuous function. Assuming that to be the case, what can you conclude about the relationship between a and b? b. Determine values for a and b. c. Draw a graph of the probability density over the interval -2 mm x 2 mm. d. What is the probability that the particle will be found to the left of the origin?
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