词条 | + h.c. |
释义 |
Context and useThe notation convention “+ h.c.” is common in particle physics in the context of writing out formulas for Lagrangians and Hamiltonians, which conventionally are required to be a Hermitian operators.[1] The mathematics of quantum mechanics is based on complex numbers, whereas almost all observations (measurements) are only real numbers. Adding its own conjugate to an operator guarantees that the combination is Hermitian, which in turn guarantees that the combined operator's eigenvalues will be real numbers, suitable for predicting values of observations/measurements of particle behavior. Hence, interpret the expression as meaning[1] In the expressions above, is used as the symbol for the Hermitian conjugate of operator , which is an older notation in mathematics, but still widespread in quantum-mechanics; it is commonly written as in mathematics (particularly linear algebra) but that notation is sometimes used in quantum mechanics for the complex conjugate only, and not the conjugate transpose (Hermitian conjugate). References1. ^1 2 {{cite web |title=Meaning of h.c. in Lagrangians (& elsewhere?) |url=https://www.physicsforums.com/threads/meaning-of-h-c-in-lagrangians-elsewhere.454071/ |date=2010-12-05 |series=Physics Forums |access-date=2018-05-23}} 3 : Hamiltonian mechanics|Quantum mechanics|Lagrangian mechanics |
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