23 citations · 75 across the 12 of their papers we have counts for
6 papers · 1 filter
Power-Duality in Path Integral Formulation of Quantum Mechanics
Akira Inomata, Georg Junker
Power duality in Feynman's path integral formulation of quantum mechanics is investigated. The power duality transformation consists of a change in coordinate and time variables, a…
Power law duality in classical and quantum mechanics
Akira Inomata, Georg Junker
The Newton--Hooke duality and its generalization to arbitrary power laws in classical, semiclassical and quantum mechanics are discussed. We pursue a view that the power-law dualit…
Path Integral and Spectral Representations for Supersymmetric Dirac-Hamiltonians
Georg Junker, Akira Inomata
The resolvent of supersymmetric Dirac Hamiltonian is studied in detail. Due to supersymmetry the squared Dirac Hamiltonian becomes block-diagonal whose elements are in essence non-…
Path Integrals and Lie Groups
Akira Inomata, Georg Junker
The roles of Lie groups in Feynman's path integrals in non-relativistic quantum mechanics are discussed. Dynamical as well as geometrical symmetries are found useful for path integ…
Klauder's coherent states for the radial Coulomb problem in a uniformly curved space and their flat-space limits
Myo Thaik, Akira Inomata
First a set of coherent states a la Klauder is formally constructed for the Coulomb problem in a curved space of constant curvature. Then the flat-space limit is taken to reduce th…
A History of Feynman's Sum over Histories in Quantum Mechanics
Akira Inomata, Georg Junker
A history of Feynman's sum over histories is presented in brief. A focus is placed on the progress of path-integration techniques for exactly path-integrable problems in quantum me…