scholarly journals An operator inequality for weighted Bergman shift operators

2013 ◽  
Vol 29 (3) ◽  
pp. 789-808
Author(s):  
Anders Olofsson ◽  
Aron Wennman
Keyword(s):  
Operator Inequality ◽  
Shift Operators ◽  
Bergman Shift

On Some Bergman Shift Operators

2010 ◽  
Vol 6 (4) ◽  
pp. 829-842 ◽  
Author(s):  
Olof Giselsson ◽  
Anders Olofsson
Keyword(s):  
Shift Operators ◽  
Bergman Shift

scholarly journals Integrability, intertwiners and non-linear algebras in Calogero models

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Francisca Carrillo-Morales ◽  
Francisco Correa ◽  
Olaf Lechtenfeld
Keyword(s):  
Wave Functions ◽  
Energy Eigenstates ◽  
Conserved Charges ◽  
Low Level ◽  
Shift Operators ◽  
Non Linear ◽  
Complete Sets

Abstract For the rational quantum Calogero systems of type A1⊕A2, AD3 and BC3, we explicitly present complete sets of independent conserved charges and their nonlinear algebras. Using intertwining (or shift) operators, we include the extra ‘odd’ charges appearing for integral couplings. Formulæ for the energy eigenstates are used to tabulate the low-level wave functions.

scholarly journals SUSUSY Quantum Mechanics

1997 ◽  
Vol 12 (01) ◽  
pp. 171-176 ◽  
Author(s):  
David J. Fernández C.
Keyword(s):  
Quantum Mechanics ◽  
Shift Operator ◽  
Second Order ◽  
Parametric Family ◽  
First Order ◽  
Shift Operators ◽  
Exactly Solvable ◽  
Exactly Solvable Hamiltonians

The exactly solvable eigenproblems in Schrödinger quantum mechanics typically involve the differential "shift operators". In the standard supersymmetric (SUSY) case, the shift operator turns out to be of first order. In this work, I discuss a technique to generate exactly solvable eigenproblems by using second order shift operators. The links between this method and SUSY are analysed. As an example, we show the existence of a two-parametric family of exactly solvable Hamiltonians, which contains the Abraham–Moses potentials as a particular case.

Some properties of Wigner coefficients and hyperspherical harmonics

1956 ◽  
Vol 52 (3) ◽  
pp. 424-430 ◽  
Author(s):  
A. P. Stone
Keyword(s):  
Angular Momentum ◽  
Euclidean Space ◽  
Rotation Group ◽  
Dimensional Euclidean Space ◽  
Hyperspherical Harmonics ◽  
Shift Operators ◽  
Analytical Relations

ABSTRACTGeneral shift operators for angular momentum are obtained and applied to find closed expressions for some Wigner coefficients occurring in a transformation between two equivalent representations of the four-dimensional rotation group. The transformation gives rise to analytical relations between hyperspherical harmonics in a four-dimensional Euclidean space.

Weighted backward shift operators with invariant distributionally scrambled subsets

2017 ◽  
Vol 8 (2) ◽  
pp. 199-210 ◽  
Author(s):  
Xinxing Wu ◽  
Lidong Wang ◽  
Guanrong Chen
Keyword(s):  
Shift Operators ◽  
Backward Shift

scholarly journals An operator inequality and self-adjointness

2004 ◽  
Vol 377 ◽  
pp. 181-194 ◽  
Author(s):  
Bojan Magajna ◽  
Marko Petkovšek ◽  
Aleksej Turnšek
Keyword(s):  
Operator Inequality
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