The spin-orbit interaction is crucial to explain the right building that accommodate protons and neutrons called the shell model, and can be represented by L·S, where L is the orbital angular momentum and S is the spin or intrinsic angular momentum. To understand how the spin-orbit interaction does the trick you'll need to use commutator algebra and deduce whether the spin-orbit interaction L· S commute with the following operators: J?, Jz, L?, Lz and Sz For doing this, you'll need the following relations: J = L+S. L.S= - L² – S²) L·S = LXSX + LySy + L¿SZ

Modern Physics
3rd Edition
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Chapter9: Atomic Structure
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The spin-orbit interaction is crucial to explain the right building that accommodate protons and neutrons called the shell model, and can be
represented by L·S, where L is the orbital angular momentum and S is the spin or intrinsic angular momentum. To understand how the spin-orbit
interaction does the trick you'll need to use commutator algebra and deduce whether the spin-orbit interaction L·S commute with the following
operators: J?, Jz, L?, Lz and Sz
For doing this, you'll need the following relations:
J = L+ S.
:= - L² - s°)
L·S = LXSX + LySy + L2SZ
Transcribed Image Text:The spin-orbit interaction is crucial to explain the right building that accommodate protons and neutrons called the shell model, and can be represented by L·S, where L is the orbital angular momentum and S is the spin or intrinsic angular momentum. To understand how the spin-orbit interaction does the trick you'll need to use commutator algebra and deduce whether the spin-orbit interaction L·S commute with the following operators: J?, Jz, L?, Lz and Sz For doing this, you'll need the following relations: J = L+ S. := - L² - s°) L·S = LXSX + LySy + L2SZ
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