10 citations · 22 across the 5 of their papers we have counts for
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Exactness of Conventional and Supersymmetric JWKB Formulae and Glo bal Symmetries of Stokes Graphs
Piotr Milczarski
It has been shown that the cases of the JWKB formulae in 1--dim QM quantizing the energy levels exactly are results of essentially one global symmetry of both potentials and their…
Borel Summable Solutions to 1D Schrödinger Equation
Stefan Giller, Piotr Milczarski
It is shown that so called fundamental solutions the semiclassical expansions of which have been established earlier to be Borel summable to the solutions themselves appear also to…
Rectangular Well as Perturbation
Mariusz Dudek, Stefan Giller, Piotr Milczarski
We discuss a finite rectangular well as a perturbation for the infinite one with a depth of the former as a perturbation parameter. In particular we consider a behaviour of e…
Change of Variable as Borel Resummation of Semiclassical Series
Stefan Giller, Piotr Milczarski
It is shown that a change of variable in 1-dim Schroedinger equation applied to the Borel summable fundamental solutions [Giller] is equivalent to Borel resummation of the fundamen…