P7B.8 A normalized wavefunction for a particle confined between 0 and L in the x direction, and between 0 and L in the y direction (that is, to a square of side L) is y = (2/L) sin(Tx/ L) sin(Ty/L). The probability of finding the particle between x, and x, along x, and between y, and y, along y is P= "w°dxdy Calculate the probability that the particle is: (a) between x = 0 and x = L/2, y = O and y = L/2 (i.e. in the bottom left-hand quarter of the square); (b) between x = L/4 and x = 3L/4, y = L/4 and y = 3L/4 (i.e. a square of side L/2 centred on x = y = L/2).

P7B.8 A normalized wavefunction for a particle confined between 0 and L in the x direction, and between 0 and L in the y direction (that is, to a square of side L) is y = (2/L) sin(Tx/ L) sin(Ty/L). The probability of finding the particle between x, and x, along x, and between y, and y, along y is P= "w°dxdy Calculate the probability that the particle is: (a) between x = 0 and x = L/2, y = O and y = L/2 (i.e. in the bottom left-hand quarter of the square); (b) between x = L/4 and x = 3L/4, y = L/4 and y = 3L/4 (i.e. a square of side L/2 centred on x = y = L/2).

Physical Chemistry

2nd Edition

ISBN:9781133958437

Author:Ball, David W. (david Warren), BAER, Tomas

Publisher:Ball, David W. (david Warren), BAER, Tomas

Chapter11: Quantum Mechanics: Model Systems And The Hydrogen Atom

Section: Chapter Questions

Problem 11.61E: What is the physical explanation of the difference between a particle having the 3-D rotational...

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