104 citations · 1.6k across the 103 of their papers we have counts for
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Algebraic discrete quantum harmonic oscillator with dynamic resolution scaling
Michael May, Hong Qin
We develop an algebraic formulation for the discrete quantum harmonic oscillator (DQHO) with a finite, equally-spaced energy spectrum and energy eigenfunctions defined on a discret…
Quantum Instability
Michael Q. May, Hong Qin
The physics of many closed, conservative systems can be described by both classical and quantum theories. The dynamics according to classical theory is symplectic and admits linear…
PT-symmetry entails pseudo-Hermiticity regardless of diagonalizability
Ruili Zhang, Hong Qin, Jianyuan Xiao
We prove that in finite dimensions, a Parity-Time (PT)-symmetric Hamiltonian is necessarily pseudo-Hermitian regardless of whether it is diagonalizable or not. This result is diffe…
What breaks parity-time-symmetry? -- pseudo-Hermiticity and resonance between positive- and negative-action modes
Ruili Zhang, Hong Qin, Jianyuan Xiao +1
It is generally believed that Parity-Time (PT)-symmetry breaking occurs when eigenvalues or both eigenvalues and eigenvectors coincide. However, we show that this well-accepted pic…
Canonical symplectic structure and structure-preserving geometric algorithms for Schrödinger-Maxwell systems
Qiang Chen, Hong Qin, Jian Liu +4
An infinite dimensional canonical symplectic structure and structure-preserving geometric algorithms are developed for the photon-matter interactions described by the Schrödinger-M…