(a)If Â = 3x? and B = , then show that Â and ß donot commute with respect to thefunction f(x) = sin x.Show, if the wave function, w) = A cos(kx) + iA sin(kx) is an Eigen-function of thelinear momentum operator, P and if so, what is the Eigen value. (Note: A and k areconstants).(b)

Commutator of A & B is generally represented as : The operation is possible with taking…

(a) If Â = 3x? and B = , then show that Â and ß donot commute with respect to the dx function f(x) = sin x. Show, if the wave function, 4 = A cos(kx) + iA sin(kx) is an Eigen-function of the linear momentum operator, P, and if so, what is the Eigen value. (Note: A and k are constants). (b)

(a) If Â = 3x? and B = , then show that Â and ß donot commute with respect to the dx function f(x) = sin x. Show, if the wave function, 4 = A cos(kx) + iA sin(kx) is an Eigen-function of the linear momentum operator, P, and if so, what is the Eigen value. (Note: A and k are constants). (b)

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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Quantum chemistry deals with the properties of chemical systems and their reactions. The branch of chemistry which is more concerned with quantum chemistry is physical chemistry. It is a more sophisticated field of theoretical physics which is concerned towards the application of physical concepts towards various chemical aspects such as, formation of atoms, chemical structure descriptions, chemical bond strength, hybridization, conjugation etc. Quantum chemistry mainly studies the various states i.e., ground state, excited state, transition states of the individual atoms or molecules taking place during any chemical reaction. The laws of motion explained by various scientists, which are termed as “classical mechanics” were not acceptable in terms of electrons, protons, atoms, light etc. Thus, a new theory named “quantum mechanics” emerged to understand the basic framework of various atomic and subatomic particles.

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(a)
If Â = 3x? and B = , then show that Â and ß donot commute with respect to the
function f(x) = sin x.
Show, if the wave function, w) = A cos(kx) + iA sin(kx) is an Eigen-function of the
linear momentum operator, P and if so, what is the Eigen value. (Note: A and k are
constants).
(b)

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