58 citations · 563 across the 39 of their papers we have counts for
39 papers
Non-Abelian physics in light and sound
Yi Yang, Biao Yang, Guancong Ma +3
There has been a recent surge of interest in using light and sound as platforms for studying non-Abelian physics. Through a kaleidoscope of physical effects, light and sound provid…
Flattening the Curve with Einstein's Quantum Elevator: Hermitization of Non-Hermitian Hamiltonians via a Generalized Vielbein Formalism
Chia-Yi Ju, Adam Miranowicz, Fabrizio Minganti +3
The formalism for non-Hermitian quantum systems sometimes blurs the underlying physics. We present a systematic study of the vielbein-like formalism which transforms the Hilbert sp…
A q-generalization of the Toda equations for the q-Laguerre/Hermite orthogonal polynomials
Chuan-Tsung Chan, Hsiao-Fan Liu
Based on the motivation of generalizing the correspondence between the Lax equation for the Toda lattice and the deformation theory of the orthogonal polynomials, we derive a q-def…
Graphic Enumerations and Discrete Painlevé Equations via Random Matrix Models
Chuan-Tsung Chan, Hsiao-Fan Liu
We revisit the enumeration problems of random discrete surfaces (RDS) based on solutions of the discrete equations derived from the matrix models. For RDS made of squares, the recu…
Orthogonal Polynomials in Mathematical Physics
Chuan-Tsung Chan, A. Mironov, A. Morozov +1
This is a review of (-)hypergeometric orthogonal polynomials and their relation to representation theory of quantum groups, to matrix models, to integrable theory, and to knot t…
Anatomy of a q-generalization of the Laguerre/Hermite Orthogonal Polynomials
Chuan-Tsung Chan, Hsiao-Fan Liu
We study a q-generalization of the classical Laguerre/Hermite orthogonal polynomials. Explicit results include: the recursive coefficients, matrix elements of generators for the He…