Matches in SemOpenAlex for { <https://semopenalex.org/work/W2963653051> ?p ?o ?g. }
Showing items 1 to 72 of
72
with 100 items per page.
- W2963653051 endingPage "726" @default.
- W2963653051 startingPage "723" @default.
- W2963653051 abstract "Generating quasi-isospectral potentials by the methods of supersymmetric quantum mechanics (SUSYQM) is a simple and well-known mathematical technique [1]. Its relationships with intertwining, factorization, Darboux covariance, and inverse scattering procedures have been recently reviewed by the author [2]. Also, the author, either in collaboration or alone [3] dealt extensively with a SUSYQM procedure based on the general Riccati solution [4], that may be called the double Darboux general Riccati method (henceforth DDGR). For details the reader is directed to my previous works on DDGR and the references therein. The purpose of this note is to display the connection of the DDGR method with the Riccati nonlinear superposition principle. The DDGR procedure has been first used in physics by Mielnik for the quantum harmonic oscillator case [5]. For simplicity reasons, I shall deal with the case of unbroken SUSY, i.e., when one has at hand a true zero mode u0 of the initial Schroedinger problem. DDGR leads to families of strictly isospectral potentials to the initial (bosonic) one. Asking for the most general superpotential (i.e., the general Riccati solution) such that the fermionic potential fulfills V+(x) = w g + dwg dx , it is obvious that one particular solution to this equation is wp, i.e., Witten’s superpotential. Thus, one is led to consider the following Riccati equation w g + dwg dx = w 2 p+ dwp dx , whose general solution can be written down as wg(x) = wp(x)+ 1 v(x) , where v(x) is an unknown function. Using this ansatz, one obtains for the function v(x) the following Bernoulli equation" @default.
- W2963653051 created "2019-07-30" @default.
- W2963653051 creator A5049907996 @default.
- W2963653051 date "1999-06-01" @default.
- W2963653051 modified "2023-09-23" @default.
- W2963653051 title "STRICTLY ISOSPECTRAL SUSY POTENTIALS AND THE RICCATI SUPERPOSITION PRINCIPLE" @default.
- W2963653051 cites W119916070 @default.
- W2963653051 cites W595846807 @default.
- W2963653051 hasPublicationYear "1999" @default.
- W2963653051 type Work @default.
- W2963653051 sameAs 2963653051 @default.
- W2963653051 citedByCount "1" @default.
- W2963653051 countsByYear W29636530512012 @default.
- W2963653051 crossrefType "journal-article" @default.
- W2963653051 hasAuthorship W2963653051A5049907996 @default.
- W2963653051 hasConcept C116674579 @default.
- W2963653051 hasConcept C121332964 @default.
- W2963653051 hasConcept C130979935 @default.
- W2963653051 hasConcept C168948012 @default.
- W2963653051 hasConcept C177414767 @default.
- W2963653051 hasConcept C27753989 @default.
- W2963653051 hasConcept C2779710842 @default.
- W2963653051 hasConcept C34829970 @default.
- W2963653051 hasConcept C37914503 @default.
- W2963653051 hasConcept C45473103 @default.
- W2963653051 hasConcept C62520636 @default.
- W2963653051 hasConcept C78045399 @default.
- W2963653051 hasConcept C84114770 @default.
- W2963653051 hasConceptScore W2963653051C116674579 @default.
- W2963653051 hasConceptScore W2963653051C121332964 @default.
- W2963653051 hasConceptScore W2963653051C130979935 @default.
- W2963653051 hasConceptScore W2963653051C168948012 @default.
- W2963653051 hasConceptScore W2963653051C177414767 @default.
- W2963653051 hasConceptScore W2963653051C27753989 @default.
- W2963653051 hasConceptScore W2963653051C2779710842 @default.
- W2963653051 hasConceptScore W2963653051C34829970 @default.
- W2963653051 hasConceptScore W2963653051C37914503 @default.
- W2963653051 hasConceptScore W2963653051C45473103 @default.
- W2963653051 hasConceptScore W2963653051C62520636 @default.
- W2963653051 hasConceptScore W2963653051C78045399 @default.
- W2963653051 hasConceptScore W2963653051C84114770 @default.
- W2963653051 hasIssue "6" @default.
- W2963653051 hasLocation W29636530511 @default.
- W2963653051 hasOpenAccess W2963653051 @default.
- W2963653051 hasPrimaryLocation W29636530511 @default.
- W2963653051 hasRelatedWork W1623381582 @default.
- W2963653051 hasRelatedWork W178368483 @default.
- W2963653051 hasRelatedWork W1989929725 @default.
- W2963653051 hasRelatedWork W1995056753 @default.
- W2963653051 hasRelatedWork W1997612418 @default.
- W2963653051 hasRelatedWork W2040246371 @default.
- W2963653051 hasRelatedWork W2054334871 @default.
- W2963653051 hasRelatedWork W2066881015 @default.
- W2963653051 hasRelatedWork W2092124394 @default.
- W2963653051 hasRelatedWork W2093857304 @default.
- W2963653051 hasRelatedWork W2159113852 @default.
- W2963653051 hasRelatedWork W2166158430 @default.
- W2963653051 hasRelatedWork W2286051490 @default.
- W2963653051 hasRelatedWork W2793001407 @default.
- W2963653051 hasRelatedWork W2964036642 @default.
- W2963653051 hasRelatedWork W3102738579 @default.
- W2963653051 hasRelatedWork W3104475112 @default.
- W2963653051 hasRelatedWork W3125265001 @default.
- W2963653051 hasRelatedWork W747465546 @default.
- W2963653051 hasRelatedWork W87638117 @default.
- W2963653051 hasVolume "114" @default.
- W2963653051 isParatext "false" @default.
- W2963653051 isRetracted "false" @default.
- W2963653051 magId "2963653051" @default.
- W2963653051 workType "article" @default.