10. A particle of mass m is confined to move in one dimension on the domain 0≤x <∞, and its quantum state is associated with the wavefunction (x) = Næe-a where N is the normalization and a is a constant having units of inverse length. Normalize the wavefunction and derive an expression for (1/x) for the particle. Answer ² √² x²e-²ªx dx = . N² 2! N² N² (2a)³ 4a³ N = 2a³/2 = 1

10. A particle of mass m is confined to move in one dimension on the domain 0≤x <∞, and its quantum state is associated with the wavefunction (x) = Næe-a where N is the normalization and a is a constant having units of inverse length. Normalize the wavefunction and derive an expression for (1/x) for the particle. Answer ² √² x²e-²ªx dx = . N² 2! N² N² (2a)³ 4a³ N = 2a³/2 = 1

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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