Part A In normalizing wave functions, the integration is over all space in which the wave function is defined. Normalize the wave function (a - x)y(by) over the range 0 ≤ x ≤ a, 0 ≤ y ≤ b. The element of area in two-dimensional Cartesian coordinates is dx dy; a and b are constants. Match the items in the left column to the appropriate blanks in the equations on the right. Make certain each equation is complete before submitting your answer. -80 T 30√5 [y(b - y)] [x(a − x)] [x(a − x)]² 1 a³f3 30 [y(b-y)]² -4² N2 0 a b 0 N dr dx = dy = 0 dy = 1 Reset Help

Part A In normalizing wave functions, the integration is over all space in which the wave function is defined. Normalize the wave function (a - x)y(by) over the range 0 ≤ x ≤ a, 0 ≤ y ≤ b. The element of area in two-dimensional Cartesian coordinates is dx dy; a and b are constants. Match the items in the left column to the appropriate blanks in the equations on the right. Make certain each equation is complete before submitting your answer. -80 T 30√5 [y(b - y)] [x(a − x)] [x(a − x)]² 1 a³f3 30 [y(b-y)]² -4² N2 0 a b 0 N dr dx = dy = 0 dy = 1 Reset Help

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 11.22E

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Techniques and applications of quantum theory

Quantum theory, often known as quantum physics, is the foundation of modern physics and encompasses the nature and behavior of matter and energy at the atomic and molecular levels. As the exact nature and behavior of atomic and subatomic particles are impossible to determine, the laws of classical physics do not apply to this discipline. As a result, quantum field theory is primarily based on assumptions and probabilities.

Question

Part A
In normalizing wave functions, the integration is over all space in which the wave function is defined. Normalize the wave function x(a − x)y(b − y) over the range 0 ≤ x ≤ a,
0 ≤ y ≤ b. The element of area in two-dimensional Cartesian coordinates is dx dy; a and b are constants.
Match the items in the left column to the appropriate blanks in the equations on the right. Make certain each equation is complete before submitting your answer.
-19
6
30√√
6
a5f5
[y(b - y)]
[x(a − x)]
[x(a − x)]²
a
30
a³f³
30
[y(by)]²
N²
0
b
0
N
||
a
dx
dx
||
dy =
0
b
dy = 1
Reset
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