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Quantum Mechanics for Scientists and Engineers by David A. B. Miller

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Chapter 17

Interaction of different kinds of particles

Prerequisites: Chapters 27, 9, 10, 12, 13, 15, and 16.

So far in the treatment of creation and annihilation operators, we have considered operators, including especially Hamiltonians, in which we are concerned with only one kind of particle (i.e., either identical bosons or identical fermions). Many important phenomena involve interactions of different kinds of particles (e.g., interactions of photons or phonons with electrons). Here, we discuss how to handle operators for such situations. As a specific, and particularly useful example, we discuss the electron–photon interaction. This leads us through perturbation theory in this operator formalism to a proper quantum mechanical treatment ...

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