It is useful to define the spin angular momentum ladder operators or shift operatorsS+= S, +iS, and S- = S,-iS,Prove that the raising operator St satisfies the following equationS+B=ħaH₂W

Here we are required to prove the following relation

Answered: It is useful to define the spin angular…

It is useful to define the spin angular momentum ladder operators or shift operators St=S, +iS, and S-= S,-iS, Prove that the raising operator St satisfies the following equation S+B= ha H₂W

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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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

It is useful to define the spin angular momentum ladder operators or shift operators
S+= S, +iS, and S- = S,-iS,
Prove that the raising operator St satisfies the following equation
S+B=ħa
H₂W

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