Abstract
Let us now leave the path integral formalism temporarily and reformulate operatorial quantum mechanics in a way which will make it easy later on to establish the formal connection between operator and path integral formalism. Our objective is to introduce the generating functional into quantum mechanics. Naturally we want to generate transition amplitudes. The problem confronting us is how to transcribe operator quantum mechanics as expressed in Heisenberg’s equation of motion into a theory formulated solely in terms of c-numbers.
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Notes
- 1.
Rather than keeping track of naively divergent constants of this sort, we shall determine the overall normalization of K from the condition (17.19) when we discuss concrete examples.
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Dittrich, W., Reuter, M. (2020). Functional Derivative Approach. In: Classical and Quantum Dynamics. Springer, Cham. https://doi.org/10.1007/978-3-030-36786-2_18
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DOI: https://doi.org/10.1007/978-3-030-36786-2_18
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