Abstract

Quantum fluctuations occurring in tunneling processes are studied via the operator Hamilton-Jacobi (HJ) formalism, generated from the principles of Feynman and Schwinger. It is shown that due to these quantum fluctuations and the ordering procedure, the operator HJ equation does not transform likewise its classical counterpart, and that two kinds of quantum operators (one invariant and the other non-invariant), associated to a classical invariant, can be unambiguously distinguished within this formalism.

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