FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2099696567> ?p ?o ?g. }

• W2099696567 abstract "The paper studies violation of conventional rules of SUSY quantum mechanics for the centrifugal potential V(r) within the limit-circle (LC) range. A special attention is given to transformation properties of the Titchmarsh-Weyl m-function under Darboux deformations of the reflective Kratzer oscillator: centrifugal Kepler-Coulomb (KC) potential plus a Taylor series in r. Since our analysis is based on Fulton's representation of a regular-at-infinity solution [Math. Nachr. 281, 1418 (2008)] as a superposition of two Frobenius solutions at the origin, we refer to the appropriate expressions as the Titchmarsh-Weyl-Fulton (TWF) functions. Explicit transformation relations are derived for partner TWF functions associated with SUSY pairs of centrifugal potentials. It is shown that these relations have a completely different form for Darboux transformations (DTs) keeping the potential within the LC range. As an illustration, we use regular nodeless Frobenius solutions to construct SUSY partners of the radial r- and c-Gauss-reference (GRef) potentials solvable via hypergeometric and confluent hypergeometric functions, respectively. We explicitly demonstrate existence of non-isospectral partners of both radial potentials in the LC region and obtain their discrete energy spectra using the derived closed-form expressions for the TWF functions. The general transformation relations for the TWF function have been verified taking advantage of form-invariance of the radial GRef potentials under double-step DTs with the so-called 'basic' seed solutions (SSs). Similarly we directly ratify that TWF functions for three shape-invariant reflective potentials on the half-line -- hyperbolic Poschl-Teller (h-PT), Eckart/Manning-Rosen (E/MR), and centrifugal KC potentials - do retain their form under basic DTs." @default.
• W2099696567 created "2016-06-24" @default.
• W2099696567 creator A5002214497 @default.
• W2099696567 date "2014-05-07" @default.
• W2099696567 modified "2023-09-27" @default.
• W2099696567 title "Breakup of SUSY Quantum Mechanics in the Limit-Circle Region of the Reflective Kratzer Oscillator" @default.
• W2099696567 cites W1548752661 @default.
• W2099696567 cites W1556559448 @default.
• W2099696567 cites W1636653173 @default.
• W2099696567 cites W1649850016 @default.
• W2099696567 cites W1651012092 @default.
• W2099696567 cites W1791468222 @default.
• W2099696567 cites W1926404827 @default.
• W2099696567 cites W1963749087 @default.
• W2099696567 cites W1965192315 @default.
• W2099696567 cites W1967535412 @default.
• W2099696567 cites W1971876825 @default.
• W2099696567 cites W1973412886 @default.
• W2099696567 cites W1975033845 @default.
• W2099696567 cites W1977112015 @default.
• W2099696567 cites W1978705008 @default.
• W2099696567 cites W1980194627 @default.
• W2099696567 cites W1981176218 @default.
• W2099696567 cites W1982972564 @default.
• W2099696567 cites W1986913147 @default.
• W2099696567 cites W1990797670 @default.
• W2099696567 cites W1994900076 @default.
• W2099696567 cites W2003051132 @default.
• W2099696567 cites W2009307604 @default.
• W2099696567 cites W2014548516 @default.
• W2099696567 cites W2014972818 @default.
• W2099696567 cites W2019240576 @default.
• W2099696567 cites W2021311856 @default.
• W2099696567 cites W2026279584 @default.
• W2099696567 cites W2031842061 @default.
• W2099696567 cites W2032411741 @default.
• W2099696567 cites W2035196826 @default.
• W2099696567 cites W2035569139 @default.
• W2099696567 cites W2037685355 @default.
• W2099696567 cites W2038739505 @default.
• W2099696567 cites W2041178476 @default.
• W2099696567 cites W2044729420 @default.
• W2099696567 cites W2051741246 @default.
• W2099696567 cites W2060311710 @default.
• W2099696567 cites W2065088383 @default.
• W2099696567 cites W2066700170 @default.
• W2099696567 cites W2067228873 @default.
• W2099696567 cites W2067265108 @default.
• W2099696567 cites W2079410980 @default.
• W2099696567 cites W2081343992 @default.
• W2099696567 cites W2084485232 @default.
• W2099696567 cites W2089122138 @default.
• W2099696567 cites W2093196076 @default.
• W2099696567 cites W2094553393 @default.
• W2099696567 cites W2101020525 @default.
• W2099696567 cites W2102245148 @default.
• W2099696567 cites W2111983460 @default.
• W2099696567 cites W2114185030 @default.
• W2099696567 cites W2120062331 @default.
• W2099696567 cites W2156907535 @default.
• W2099696567 cites W2159113852 @default.
• W2099696567 cites W2168591206 @default.
• W2099696567 cites W2200604288 @default.
• W2099696567 cites W2489187492 @default.
• W2099696567 cites W2495659160 @default.
• W2099696567 cites W2512824016 @default.
• W2099696567 cites W2603495976 @default.
• W2099696567 cites W2798922842 @default.
• W2099696567 cites W2943582803 @default.
• W2099696567 cites W3038165843 @default.
• W2099696567 cites W3104830359 @default.
• W2099696567 cites W3106036680 @default.
• W2099696567 cites W3115050390 @default.
• W2099696567 cites W3173263824 @default.
• W2099696567 cites W599837675 @default.
• W2099696567 cites W60675102 @default.
• W2099696567 cites W652502795 @default.
• W2099696567 hasPublicationYear "2014" @default.
• W2099696567 type Work @default.
• W2099696567 sameAs 2099696567 @default.
• W2099696567 citedByCount "5" @default.
• W2099696567 countsByYear W20996965672014 @default.
• W2099696567 countsByYear W20996965672015 @default.
• W2099696567 countsByYear W20996965672016 @default.
• W2099696567 countsByYear W20996965672018 @default.
• W2099696567 crossrefType "posted-content" @default.
• W2099696567 hasAuthorship W2099696567A5002214497 @default.
• W2099696567 hasConcept C104317684 @default.
• W2099696567 hasConcept C116674579 @default.
• W2099696567 hasConcept C121332964 @default.
• W2099696567 hasConcept C185592680 @default.
• W2099696567 hasConcept C197320386 @default.
• W2099696567 hasConcept C202444582 @default.
• W2099696567 hasConcept C204241405 @default.
• W2099696567 hasConcept C2779710842 @default.
• W2099696567 hasConcept C33923547 @default.
• W2099696567 hasConcept C37914503 @default.
• W2099696567 hasConcept C55493867 @default.
• W2099696567 hasConcept C62520636 @default.
• W2099696567 hasConceptScore W2099696567C104317684 @default.

• next