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Extracting Hidden Symmetry from the Energy Spectrum
Emil A. Yuzbashyan, William Happer, Boris L. Altshuler +1
In this paper we revisit the problem of finding hidden symmetries in quantum mechanical systems. Our interest in this problem was renewed by nontrivial degeneracies of a simple spi…
Comment on PRB 59, 9195 (1999) and 62, 14061 (2000) by D. S. Golubev and A. D. Zaikin, and on cond-mat/0110495 by D.S. Golubev, A.D. Zaikin, and Gerd Schön
I. L. Aleiner, B. L. Altshuler, M. G. Vavilov
The relation between "non-perturbative analysis" of low temperature dephasing and the perturbation theory is discussed. Contributions missed in each order of the perturbation theor…
"Scars" in parametrically excited surface waves
Oded Agam, Boris L. Altshuler
We consider the Faraday surface waves of a fluid in a container with a non-integrable boundary shape. We show that, at sufficiently low frequencies, the wave patterns are ``scars''…
Weak Chaos in a Quantum Kepler Problem
B. L. Altshuler, L. S. Levitov
Transition from regular to chaotic dynamics in a crystal made of singular scatterers can be reached by varying either sigma or lambda. We map the problem to a loca…
Chaos, interactions, and nonequilibrium effects in the tunneling resonance spectra of small metallic particles
Oded Agam, Ned S. Wingreen, Boris L. Altshuler +2
We explain the observation of clusters in the tunneling resonance spectra of small metallic particles of few nanometer size. Each cluster of resonances is identified with one excit…
Spin-Orbit Assisted Variable-Range Hopping in Strong Magnetic Fields
Yigal Meir, Boris L. Altshuler
It is shown that in the presence of strong magnetic fields, spin-orbit scattering causes a sharp increase in the effective density of states in the variable-range hopping regime wh…