178 citations · 288 across the 8 of their papers we have counts for
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Evaluation of the Feynman's propagator by means of the quantum Hamilton-Jacobi equation
Mario Fusco Girard
It is shown that the complex phase of the Feynman propagator is a solution of the quantum Hamilton Jacobi equation
Exact WKB-like Formulae for the Energies by means of the Quantum Hamilton-Jacobi Equation
Mario Fusco Girard
It is shown that by means of the approach based on the Quantum Hamilton-Jacobi equation, it is possible to modify the WKB expressions for the energy levels of quantum systems, when…
Construction of quantum wavefunctions for non-separable but integrable two-dimensional Hamiltonian systems by means of the boundary values on the classical caustics
Mario Fusco Girard
It is shown that it is possible to construct the quantum wave functions for non-separable but integrable two-dimensional Hamiltonian systems, by solving suitable Dirichlet boundary…
Hamilton-Jacobi Approach to the Quantization of Classically Non-Separable but Integrable Two-Dimensional Systems: the Role of the Classical Caustics
Mario Fusco Girard
The quantization method based on the quantum Hamiltonian Jacobi equation, is extended to two-dimensional non-separable but integrable Hamiltonians. It is shown that each wave funct…
Quantization of a one-dimensional system by means of the quantum Hamilton-Jacobi equation
Mario Fusco Girard
The numerical version of the Hamilton-Jacobi quantization method, recently proposed, is applied to the one dimensional quartic oscillator. A suitable quantization condition is form…