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Parameter-free ansatz for inferring ground state wave functions of even potentials
Parameter-free ansatz state wave functions Quantum Physics Mathematical Physics
2011/10/9
Abstract: Schr\"odinger's equation (SE) and the information-optimizing principle based on Fisher's information measure (FIM) are intimately linked, which entails the existence of a Legendre transform ...
Coulomb singularities in scattering wave functions of spin-orbit-coupled states
coulomb singularities spin-orbit-coupled states scattering wave functions
2011/10/8
Abstract: We report on our analysis of the Coulomb singularity problem in the frame of the coupled channel scattering theory including spin-orbit interaction. We assume that the coupling between the p...
The cryptohermitian smeared-coordinate representation of wave functions
wave functions cryptohermitian smeared-coordinate representation Quantum Physics
2011/9/30
Abstract: The one-dimensional real line of coordinates is replaced, for simplification or approximation purposes, by an N-plet of the so called Gauss-Hermite grid points. These grid points are interpr...
The Spin-weighted Spheroidal Wave functions in the Case of s=1/2
Spin-weighted Spheroidal Wave functions Case of s=1/2
2010/12/21
The spin-weighted spheroidal equations in the case s = 1/2 is thoroughly studied in the paper by means of the perturbation method in supersymmetry quantum mechanics.
Globally singularity-free semi-classical wave functions in closed form
Globally singularity-free semi-classical wave functions closed form
2010/10/15
We use a factorisation technique and representations of canonical transformations to construct
globally valid closed form expressions without singularities of semi-classical wave functions
for arbit...