000			03576nam a22005535i 4500
001			978-0-8176-4439-0
003			DE-He213
005			20251006084434.0
007			cr nn 008mamaa
008			100301s2005 xxu| s |||| 0|eng d
020			_a9780817644390
020			_a99780817644390
024	7		_a10.1007/0-8176-4439-3 _2doi
082	0	4	_a515.96 _223
100	1		_aDemuth, Michael. _eauthor.
245	1	0	_aDetermining Spectra in Quantum Theory _h[electronic resource] / _cby Michael Demuth, Maddaly Krishna.
264		1	_aBoston, MA : _bBirkhäuser Boston, _c2005.
300			_aX, 219p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aProgress in Mathematical Physics ; _v44
505	0		_aMeasures and Transforms -- Selfadjointness and Spectrum -- Criteria for Identifying the Spectrum -- Operators of Interest -- Applications.
520			_aThe spectral theory of Schrödinger operators, in particular those with random potentials, continues to be a very active field of research. This work focuses on various known criteria in the spectral theory of selfadjoint operators in order to identify the spectrum and its components a la Lebesgue decomposition. Key features and topics: Well-developed exposition of criteria that are especially useful in determining the spectra of deterministic and random Schrödinger operators occurring in quantum theory Systematically uses measures and their transforms (Fourier, Borel, wavelet) to present a unifying theme Establishes criteria for identifying the spectrum Examines a series of applications to show point spectrum and continuous spectrum in some models of random operators Presents a series of spectral-theoretic results for the perturbed operators introduced in earlier chapters with examples of localization and delocalization in the theory of disordered systems Presents modern criteria (using wavelet transform, eigenfunction decay) that could be used to do spectral theory Unique work in book form combining the presentation of the deterministic and random cases, which will serve as a platform for further research activities This concise unified presentation is aimed at graduate students and researchers working in the spectral theory of Schrödinger operators with either fixed or random potentials in particular. However, given the large gap that this book fills in the literature, it will serve a wider audience of mathematical physicists because of its contribution to works in spectral theory.
650		0	_aMATHEMATICS.
650		0	_aFUNCTIONAL ANALYSIS.
650		0	_aOPERATOR THEORY.
650		0	_aDIFFERENTIAL EQUATIONS, PARTIAL.
650		0	_aPOTENTIAL THEORY (MATHEMATICS).
650		0	_aQUANTUM THEORY.
650		0	_aMATHEMATICAL PHYSICS.
650	1	4	_aMATHEMATICS.
650	2	4	_aPOTENTIAL THEORY.
650	2	4	_aMATHEMATICAL METHODS IN PHYSICS.
650	2	4	_aQUANTUM PHYSICS.
650	2	4	_aPARTIAL DIFFERENTIAL EQUATIONS.
650	2	4	_aOPERATOR THEORY.
650	2	4	_aFUNCTIONAL ANALYSIS.
700	1		_aKrishna, Maddaly. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780817643669
830		0	_aProgress in Mathematical Physics ; _v44
856	4	0	_uhttp://dx.doi.org/10.1007/0-8176-4439-3 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c59637 _d59637