317 citations · 2.7k across the 87 of their papers we have counts for
4 papers · 1 filter
Numerical accuracy of Bogomolny's semiclassical quantization scheme in quantum billiards
Bambi Hu, Baowen Li, Daniel C Rouben
We use the semiclassical quantization scheme of Bogomolny to calculate eigenvalues of the Lima\c con quantum billiard corresponding to a conformal map of the circle billiard. We us…
Ground state wavefunction of the quantum Frenkel-Kontorova model
Bambi Hu, Baowen Li
The wavefunction of an incommensurate ground state for a one-dimensional discrete sine-Gordon model -- the Frenkel-Kontorova (FK) model -- at zero temperature is calculated by the…
Quantum chaos of a kicked particle in a 1D infinite square potential well
Baowen Li, Jie Liu, Yan Gu +1
We study quantum chaos in a non-KAM system, i.e. a kicked particle in a one-dimensional infinite square potential well. Within the perturbative regime the classical phase space dis…
Wave transmission, phonon localization and heat conduction of 1D Frenkel-Kontorova chain
Peiqing Tong, Baowen Li, Bambi Hu
We study the transmission coefficient of a plane wave through a 1D finite quasi-periodic system -- the Frenkel-Kontorova (FK) model -- embedding in an infinite uniform harmonic cha…