As a consequence of the Heisenberg uncertainty any quantum physics system inescapably undergoes relaxation towards thermal equilibrium, thus towards maximum entropy. The non-dissipative states have probability measure zero and cannot exist in nature. The impact these results have on chaotic behavior of quantum systems will be discussed, as well as the difference between quantum and classical systems, which have vanishing uncertainty.
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Michigan State Univ, Natl Supercond Cyclotron Lab, E Lansing, MI 48824 USAMichigan State Univ, Natl Supercond Cyclotron Lab, E Lansing, MI 48824 USA
Zelevinsky, Vladimir
Volya, Alexander
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机构:Michigan State Univ, Natl Supercond Cyclotron Lab, E Lansing, MI 48824 USA
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Univ Massachusetts Amherst, Dept Math & Stat, 710 N Pleasant St, Amherst, MA 01003 USAUniv Massachusetts Amherst, Dept Math & Stat, 710 N Pleasant St, Amherst, MA 01003 USA
Cao, Fei
Jabin, Pierre-Emmanuel
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Penn State Univ, Dept Math, 109 McAllister Univ Pk, State Coll, PA 16802 USA
Penn State Univ, Huck Inst, 109 McAllister Univ Pk, State Coll, PA 16802 USAUniv Massachusetts Amherst, Dept Math & Stat, 710 N Pleasant St, Amherst, MA 01003 USA
Jabin, Pierre-Emmanuel
Motsch, Sebastien
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Arizona State Univ, Sch Math & Stat Sci, 900 S Palm Walk, Tempe, AZ 85287 USAUniv Massachusetts Amherst, Dept Math & Stat, 710 N Pleasant St, Amherst, MA 01003 USA