463 citations
- Brookhaven National LaboratoryUS27 papers
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4 papers · 1 filter
Exact Christoffel-Darboux Expansions: A New, Multidimensional, Algebraic, Eigenenergy Bounding Method
Carlos R. Handy
Although the Christoffel-Darboux representation (CDR) plays an important role within the theory of orthogonal polynomials, and many important bosonic and fermionic multidimensional…
Pointwise reconstruction of wave functions from their moments through weighted polynomial expansions: an alternative global-local quantization procedure
Carlos R. Handy, Daniel Vrinceanu, Carl Marth +1
Many quantum systems admit an explicit analytic Fourier space expansion, besides the usual analytic Schrodinger configuration space representation. We argue that the use of weighte…
A Moments' Analysis of Quasi-Exactly Solvable Systems: A New Perspective on the Sextic Anharmonic and Bender-Dunne Potentials
Carlos R. Handy, Daniel Vrinceanu, Rahul Gupta
There continues to be great interest in understanding quasi-exactly solvable (QES) systems. In one dimension, QES states assume the form , where ${\cal…
(Quasi)-Convexification of Barta's (Multi-Extrema) Bounding Theorem
C. R. Handy
There has been renewed interest in the exploitation of Barta's configuration space theorem (BCST, (1937)) which bounds the ground state energy. Mouchet's (2005) BCST analysis is ba…