4-14. Determine whether or not the following pairs of operators commute.ÂB(a)(b)ddxX(c) SQR(d) x².dxd²dx²ddxSQRTd²dx²ddx+2.

Answered: 4-14. Determine whether or not the…

4-14. Determine whether or not the following pairs of operators commute. B (a) dx (b)) x (c) SQR (d) x²- dx d² dx² d dx SQRT d² dx² d dx +2-

Physical Chemistry

2nd Edition

ISBN:9781133958437

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

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

Chapter10: Introduction To Quantum Mechanics

Section: Chapter Questions

Problem 10.40E

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Question

4-14. Determine whether or not the following pairs of operators commute.
Â
B
(a)
(b)
d
dx
X
(c) SQR
(d) x².
dx
d²
dx²
d
dx
SQRT
d²
dx²
d
dx
+2.

Expert Solution

Step 1

Operator:

The formula for the Hamiltonian operator is: H ^ = p 2 2 m + V ( x ) , where the first term denotes the kinetic energy and the second term denotes the potential energy. In this equation, p is momentum, m is mass, and V is potential. The operator is calculated in a particular direction of time.

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