Show that the following two wavefunctions are orthogonal for -o < x<∞ (L dx)1/41/41Pn = () e-x²/2:(2x² –1)e-x²/2 where k is a constant

Answered: Show that the following two…

Show that the following two wavefunctions are orthogonal for -00 < x<∞ ( dx) 1/4 1/4 ex²/2 (2x2 – 1)e-**/2 where k is a constant Pm |

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 11.83E

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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

Show that the following two wavefunctions are orthogonal for -o < x<∞ (L dx)
1/4
1/4
1
Pn = () e-x²/2
:(2x² –
1)e-x²/2 where k is a constant

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