Non-uniqueness in writing Schrödinger kernel as a functional integral |
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Authors: | J Bertrand M Irac |
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Institution: | (1) Laboratoire de Physique Théorique et Mathématique, Université Paris VII, Tour 33-43, 2 Place Jussieu, 75221 Paris Cedex 05, France |
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Abstract: | We consider a path integral in phase space involving a linear functional of the classical Hamiltonian and find the Schrödinger equation of which it is a propagator. Conversely, to any quantum Hamiltonian, we associate a whole family of functionals and hence of expressions of the same Schrödinger kernel; all this is carried out independently of any correspondence principle. |
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