bound state energy of delta-function potential: a new regularization scheme
Authors
abstract
in this letter we have proposed a new regularization scheme to deal with the divergent integralsoccurring in the quantum mechanical problem of calculating the bound state energy of the delta-functionpotential in two and three dimensions. based on the schwinger parameterization technique we argue thatthere are no infinities even in d dimensions. in this way we were able to compare our proposal with theschwinger regularization approch.
similar resources
A New Modification of Morse Potential Energy Function
Interaction of meso — tetrakis (p-sulphonato phenyl) porphyrin (hereafter abbreviated to TSPP)with Na+ has been examined using HF level of theory with 6-31G* basis set. Counterpoise (CP)correction has been used to show the extent of the basis set superposition error (BSSE) on thepotential energy curves. The numbers of Na+ have a significant effect on the calculated potentialenergy curve (includ...
full texta new modification of morse potential energy function
interaction of meso — tetrakis (p-sulphonato phenyl) porphyrin (hereafter abbreviated to tspp)with na+ has been examined using hf level of theory with 6-31g* basis set. counterpoise (cp)correction has been used to show the extent of the basis set superposition error (bsse) on thepotential energy curves. the numbers of na+ have a significant effect on the calculated potentialenergy curve (includ...
full textA New Lower Bound for Completion Time Distribution Function of Stochastic PERT Networks
In this paper, a new method for developing a lower bound on exact completion time distribution function of stochastic PERT networks is provided that is based on simplifying the structure of this type of network. The designed mechanism simplifies network structure by arc duplication so that network distribution function can be calculated only with convolution and multiplication. The selection of...
full textA New Detail-Preserving Regularization Scheme
It is a challenging task to reconstruct images from their noisy, blurry, and/or incomplete measurements, especially those with important details and features such as medical magnetic resonance (MR) and CT images. We propose a novel regularization model that integrates two recently developed regularization tools: total generalized variation (TGV) by Bredies, Kunisch, and Pock; and shearlet trans...
full textA New Lower Bound for Completion Time Distribution Function of Stochastic PERT Networks
In this paper, a new method for developing a lower bound on exact completion time distribution function of stochastic PERT networks is provided that is based on simplifying the structure of this type of network. The designed mechanism simplifies network structure by arc duplication so that network distribution function can be calculated only with convolution and multiplication. The selection of...
full textDelta-Function Potential with a Complex Coupling
We explore the Hamiltonian operator H = − d2 dx2 + z δ(x) where x ∈ R, δ(x) is the Dirac delta function, and z is an arbitrary complex coupling constant. For a purely imaginary z, H has a spectral singularity at E = −z2/4 ∈ R+. For R(z) < 0, H has an eigenvalue at E = −z2/4. For the case that R(z) > 0, H has a real, positive, continuous spectrum that is free from spectral singularities. For thi...
full textMy Resources
Save resource for easier access later
Journal title:
iranian journal of science and technology (sciences)ISSN 1028-6276
volume 32
issue 4 2008
Hosted on Doprax cloud platform doprax.com
copyright © 2015-2023