9 citations · 24 across the 6 of their papers we have counts for
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Non-hermitian radial momentum operator and path integrals in polar coordinates
Kazuo Fujikawa
A salient feature of the Schrödinger equation is that the classical radial momentum term in polar coordinates is replaced by the operator $\hat{P}^{\dagger}_{r} \hat{P}…
Quantization of Space-time Noncommutative Theory
Kazuo Fujikawa
General aspects of the quantization of field theories non-local in time are discussed. The path integral on the basis of Schwinger's action principle and the Bjorken-Johnson-Low pr…
Path Integral for Separable Hamiltonians of Liouville-type
Kazuo Fujikawa
A general path integral analysis of the separable Hamiltonian of Liouville-type is reviewed. The basic dynamical principle used is the Jacobi's principle of least action for given…
Duality in Landau-Zener-Stueckelberg potential curve crossing
Kazuo Fujikawa, Hiroshi Suzuki
It is pointed out that there exists an interesting strong and weak duality in the Landau-Zener-Stueckelberg potential curve crossing. A reliable perturbation theory can thus be for…
SO(9,1) invariant matrix formulation of supermembrane
Kazuo Fujikawa, Kazumi Okuyama
An invariant formulation of an 11-dimensional supermembrane is presented by combining an invariant treatment of reparametrization symmetry with an in…
Exact path integral of the hydrogen atom and the Jacobi's principle of least action
Kazuo Fujikawa
The general treatment of a separable Hamiltonian of Liouville-type is well-known in operator formalism. A path integral counterpart is formulated if one starts with the Jacobi's pr…