23 citations · 75 across the 12 of their papers we have counts for
12 papers
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…
Geometric spin manipulation in semiconductor quantum dots
Sanjay Prabhakar, Roderick Melnik, Akira Inomata
We propose a method to flip the spin completely by an adiabatic transport of quantum dots. We show that it is possible to flip the spin by inducing a geometric phase on the spin st…
Coherent states for polynomial su(1,1) algebra and a conditionally solvable system
Muhammad Sadiq, Akira Inomata, Georg Junker
In a previous paper [{\it J. Phys. A: Math. Theor.} {\bf 40} (2007) 11105], we constructed a class of coherent states for a polynomially deformed algebra. In this paper, we…