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Quantum mechanics describes the microscopic properties of nature in a regime where classical mechanics no longer applies. It explains phenomena such as the wave-particle duality, quantization of energy and the uncertainty principle and is generally used in single body systems. Use the quantum-field-theory tag for the theory of many-body quantum-mechanical systems.

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Spin is a complicated matter that requires a bit of sophisticated mathematics to understand fully. I'll do my best to give a brief overview. The idea of spin is intimately related to the idea of group …
answered Dec 1 '16 by Jackson Burzynski
2
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1answer
In the theory of angular momentum, we wish to study the projective representations of the rotation group $\text{SO}(3)$, for which we turn to the representation theory of the double cover $\text{SU}(2 …
asked Apr 11 '17 by Jackson Burzynski
7
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Mathematically, the orbital angular momentum operators and the spin angular momentum operators are really two sides of the same coin. In group-theoretic language, we say that these operators arise fro …
answered Dec 1 '16 by Jackson Burzynski
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I have been studying the group theoretic formalism of quantum mechanics and I have yet to find a satisfying explanation for the need for projective representations in the theory of angular momentum. I …
asked Nov 21 '16 by Jackson Burzynski