Ax/a Given that at time t = 0s a particle's wave function is given by =...

 

Transcribed Image Text:

Ax/a Given that at time t = 0s a particle's wave function is given by = A(b²-x²)/(b²-a²) 0 with A,a and b as constants, answer the following questions. i) Find the normalization constant A in terms of the other constants. ii) Sketch (x, t) at time t = 0s as function of position x. iii) Where is the particle most likely to be found at time t = 0s. iv) Compute the uncertainty in position. if 0 ≤ x ≤a if a ≤ x ≤ b, otherwise Ax/a Given that at time t = 0s a particle's wave function is given by = A(b²-x²)/(b²-a²) 0 with A,a and b as constants, answer the following questions. i) Find the normalization constant A in terms of the other constants. ii) Sketch (x, t) at time t = 0s as function of position x. iii) Where is the particle most likely to be found at time t = 0s. iv) Compute the uncertainty in position. if 0 ≤ x ≤a if a ≤ x ≤ b, otherwise

Answer rating: 100% (QA)

Solutions dx 1 Axadx Ab 2 x 2 b 2 a 2 dx 01 Aa 2 2a Ab 2 xx 3 3 b 2 a 2 1 Aa2 Ab2ba b3 a3 ba ba 1 Aa2 Ab2 ... View the full answer