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Generalized Schrödinger quantization

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Abstract

Schrödinger's original quantization procedure is extended to include observables with classical counterparts described in generalized coordinates and momenta. The procedure satisfies the superposition principle, the correspondence principle, Hermiticity requirements, and gauge invariance. Examples are given to demonstrate the derivation of operators in generalized coordinates or momenta. It is shown that separation of variables can be achieved before quantization.

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Finkel, R.W. Generalized Schrödinger quantization. Found Phys 3, 101–108 (1973). https://doi.org/10.1007/BF00708602

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  • DOI: https://doi.org/10.1007/BF00708602

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