Prof. Shih-I Chu

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Classical and Quantum Chaos and Fractals

The study of the quantum mechanics in regimes where the corresponding classical motion is chaotic, known as quantum chaos, is one of the most intriguing fundamental problems in contemporary physics. The main interest of Professor Chu in this direction is to explore the quantum dynamics of realistic microscopic systems whose classical correspondence is chaotic. Both classical and quantum as well as semiclassical techniques are being developed. Also of relevant interest is the exploration of the approximate dynamical symmetry and ionization threshold law of field-induced Rydberg atoms as well as the quantum fractal behavior in several microscopic systems recently discovered in our group.

Representative Publications:

K. Wang and S. I. Chu, Coherent-state representation of quantum fractals in incommensurate systems, Chem. Phys. Lett. 165, 199–207 (1990) [BibTeX] [link] [pdf]
S. I. Chu, Quantum Dynamics and Fractal Character of Quasi-Energy States in Multi-Color Fields, Comments on Atomic and Molecular Physics 25, 101–112 (1990) [BibTeX]
I. M. Hammoud and S. I. Chu, Irregular wavefunction behavior in diamagnetic Rydberg hydrogen atoms: a dynamical SO(4, 2) group study, Chem. Phys. Lett. 182, 63–68 (1991) [BibTeX] [link] [pdf]
M. J. Raković and S. I. Chu, Approximate dynamical symmetry of hydrogen-atoms in circularly-polarized microwave fields, Phys. Rev. A 50, 5077–5080 (1994) [Part A] [BibTeX] [link] [pdf]
M. Mallalieu and S. I. Chu, Semiclassical study of the ionization spectra of Rydberg atoms driven by intense half-cycle pulses, Chem. Phys. Lett. 258, 37–44 (1996) [BibTeX] [link] [pdf]
M. J. Raković and S. I. Chu, Phase-space structure of a new integrable system related to hydrogen atoms in external fields, J. Phys. A: Math. Gen. 30, 733–753 (1997) [BibTeX] [link] [pdf]
M. J. Raković and S. I. Chu, Ionization of hydrogen atoms by static and circularly polarized fields: Classical adiabatic theory, J. Phys. B: At. Mol. Opt. Phys. 31, 1989–2005 (1998) [BibTeX] [link] [pdf]

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Dept. of Chemistry
The University of Kansas