arXiv subjects

Hans J. Wospakrik

Publications and source records attributed to Hans J. Wospakrik.

3 recordsLinked to original sources

arXiv1999

CPT Symmetries and the Backlund Transformations

We show that the auto-Backlund transformations of the sine-Gordon, Korteweg-deVries, nonlinear Schrodinger, and Ernst equations are related to their respective CPT symmetries. This is shown by applying the CPT symmetries of these equations to the Riccati equations of the corresponding pseudopotential functions where the fields are allowed to transform into new solutions while the pseudopotential functions and the Backlund parameter are held fixed.

solv-int↗

arXiv1999

Path Integral Evaluation of the Free Propagator on the (D-1)-dimensional Pseudosphere

We present an explicit path integral evaluation of the free Hamiltonian propagator on the (D-1)-dimensional pseudosphere, in the horicyclic coordinates, using the integral equation method. This method consists in deriving an integral equation for the propagator that turns out to be of Abel's type.

quant-ph↗

arXiv1998

Inhomogeneous Burgers Equation and the Feynman-Kac Path Integral

By linearizing the inhomogeneous Burgers equation through the Hopf-Cole transformation, we formulate the solution of the initial value problem of the corresponding linear heat type equation using the Feynman-Kac path integral formalism. For illustration, we present the exact solution for the forcing term of the form: $F(x,t)=ω^2x+f(t).$ We also present the initial value problem solution for the case with a constant forcing term to compare with the known result.

solv-int↗