42 citations · 95 across the 14 of their papers we have counts for
14 papers
Affine Quantization of the Harmonic Oscillator on the Semi-bounded domain for
Carlos R. Handy
The transformation of a classical system into its quantum counterpart is usually done through the well known procedure of canonical quantization. However, on non-Cartesian domains,…
Proof that Half-Harmonic Oscillators become Full-Harmonic Oscillators after the "Wall Slides Away"
Carlos R. Handy, John Klauder
Normally, the half-harmonic oscillator is active when and absent when . From a canonical quantization perspective, this leads to odd eigenfunctions being present while e…
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…
Generating Converging Eigenenergy Bounds for Multidimensional Systems: A New Moment Representation, Algebraic, Quantization Formalism
Carlos R. Handy
For low dimension systems admitting a moment equation representation (MER), the development of an effective eigenenergy bounding theory applicable to all discrete states had remain…
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…