295 citations · 620 across the 28 of their papers we have counts for
29 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…
On the supersymmetry of the Klein-Gordon oscillator
Georg Junker
The three-dimensional Klein-Gordon oscillator is shown to exhibit an algebraic structure known from supersymmetric quantum mechanics. The supersymmetry is found to be unbroken with…
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…
Supersymmetry of Relativistic Hamiltonians for Arbitrary Spin
Georg Junker
Hamiltonians describing the relativistic quantum dynamics of a particle with an arbitrary spin are shown to exhibit a supersymmetric structure when the even and odd elements of the…
Supersymmetric quantum mechanics requires for vector bosons
Georg Junker
Relativistic arbitrary spin Hamiltonians are shown to obey the algebraic structure of supersymmetric quantum system if their odd and even parts commute. This condition is identical…
Supersymmetric Dirac-Hamiltonians in dimensions revisited
Georg Junker
The most general Dirac Hamiltonians in dimensions are revisited under the requirement to exhibit a supersymmetric structure. It is found that supersymmetry allows either fo…