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Quantum Processes Systems, and Information by Michael Westmoreland, Benjamin Schumacher

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13  Ladder systems

13.1  Raising and lowering operators

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In Section 12.1 we considered a quantum system of arbitrary spin s. For a given value of s, we constructed a “ladder” of Sx eigenstates. These states were linked by “raising” and “lowering” operators S±. The properties of the raising and lowering operators (which followed from the commutation relations between the spin components) completely determined the structure of the Hilbert space images for the spin-s system.

In this chapter, we investigate a similar type of quantum system that we will call ...

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