Creation and annihilation operators are linear ► operators on a so called Fock space associated to a complex ► Hilbert space. The interpretation of creation and annihilation operators in multi-particle quantum system is that they increase and lower, respectively, the number of particles of the system by one. Some of many applications of these operators can be found in the study of oscillations in solids, quantum optical systems, spin systems and general free quantum fields.
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Primary Literature
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Witte, C. (2009). Creation and Annihilation Operators. In: Greenberger, D., Hentschel, K., Weinert, F. (eds) Compendium of Quantum Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-70626-7_43
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DOI: https://doi.org/10.1007/978-3-540-70626-7_43
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