000 | 03162nam a22004935i 4500 | ||
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001 | 978-3-540-46627-7 | ||
003 | DE-He213 | ||
005 | 20190213151242.0 | ||
007 | cr nn 008mamaa | ||
008 | 130109s1991 gw | s |||| 0|eng d | ||
020 |
_a9783540466277 _9978-3-540-46627-7 |
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024 | 7 |
_a10.1007/BFb0093929 _2doi |
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050 | 4 | _aQA273.A1-274.9 | |
050 | 4 | _aQA274-274.9 | |
072 | 7 |
_aPBT _2bicssc |
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072 | 7 |
_aMAT029000 _2bisacsh |
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072 | 7 |
_aPBT _2thema |
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072 | 7 |
_aPBWL _2thema |
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082 | 0 | 4 |
_a519.2 _223 |
100 | 1 |
_aLang, Reinhard. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 0 |
_aSpectral Theory of Random Schrödinger Operators _h[electronic resource] : _bA Genetic Introduction / _cby Reinhard Lang. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c1991. |
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300 |
_aX, 126 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1498 |
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505 | 0 | _aTwo simple examples -- The general heuristic picture -- Some known results and open problems -- Explanation of Theorem 1 and introduction to an extended Boltzmann theory of entropy -- Explanation of Theorem 2 and introduction to an extended Floquet-Weyl theory -- Conclusion. | |
520 | _aThe interplay between the spectral theory of Schr|dinger operators and probabilistic considerations forms the main theme of these notes, written for the non-specialist reader and intended to provide a brief and elementaryintroduction to this field. An attempt is made to show basic ideas in statu nascendi and to follow their evaluation from simple beginnings through to more advanced results. The term "genetic" in the title refers to this proceedure. The author concentrates on 2 topics which, in the history of the subject, have been of major conceptual importance - on the one hand the Laplacian is a random medium and the left end of its spectrum (leading to large deviation problems for Brownian motion and the link to thenotion of entropy) and on the other, Schr|dinger operators with general ergodic potentials in one-dimensional space. Ideas and concepts are explained in the simplest, possible setting and by means of a few characteristic problems with heuristic arguments preceding rigorous proofs. | ||
650 | 0 | _aDistribution (Probability theory. | |
650 | 1 | 4 |
_aProbability Theory and Stochastic Processes. _0http://scigraph.springernature.com/things/product-market-codes/M27004 |
650 | 2 | 4 |
_aTheoretical, Mathematical and Computational Physics. _0http://scigraph.springernature.com/things/product-market-codes/P19005 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783662191514 |
776 | 0 | 8 |
_iPrinted edition: _z9783540549758 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1498 |
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856 | 4 | 0 | _uhttps://doi.org/10.1007/BFb0093929 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
999 |
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