Undergrad Spin, Angular Momentum, Momentum, Energy & NRQM

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Angular momentum is fundamentally linked to rotations, while momentum pertains to spatial translations and energy to temporal translations. Spin is a specific type of angular momentum associated with quantum particles. In non-relativistic quantum mechanics (NRQM), spin plays a crucial role in defining the behavior of particles. Understanding these relationships is essential for grasping the principles of NRQM. Spin is indeed related to angular momentum and is a key concept in quantum mechanics.
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Angular momentum is related to rotations.
Momentum is related to spatial translations.
Energy is related to temporal translations.
Is spin related to anything?
I only know the introduction to NRQM from Griffiths' book.
 
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accdd said:
Is spin related to anything?
Spin is part of angular momentum.
 
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Time reversal invariant Hamiltonians must satisfy ##[H,\Theta]=0## where ##\Theta## is time reversal operator. However, in some texts (for example see Many-body Quantum Theory in Condensed Matter Physics an introduction, HENRIK BRUUS and KARSTEN FLENSBERG, Corrected version: 14 January 2016, section 7.1.4) the time reversal invariant condition is introduced as ##H=H^*##. How these two conditions are identical?

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