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5 papers · 1 filter
Equivalent of a Thouless energy in lattice QCD Dirac spectra
M. E. Berbenni, T. Guhr, J. -Z. Ma +2
Random matrix theory (RMT) is a powerful statistical tool to model spectral fluctuations. In addition, RMT provides efficient means to separate different scales in spectra. Recentl…
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…