000			03618nam a22004815i 4500
001			978-88-470-2835-7
003			DE-He213
005			20140220082930.0
007			cr nn 008mamaa
008			130403s2013 it | s |||| 0|eng d
020			_a9788847028357 _9978-88-470-2835-7
024	7		_a10.1007/978-88-470-2835-7 _2doi
050		4	_aT57-57.97
072		7	_aPBW _2bicssc
072		7	_aMAT003000 _2bisacsh
082	0	4	_a519 _223
100	1		_aMoretti, Valter. _eauthor.
245	1	0	_aSpectral Theory and Quantum Mechanics _h[electronic resource] : _bWith an Introduction to the Algebraic Formulation / _cby Valter Moretti.
264		1	_aMilano : _bSpringer Milan : _bImprint: Springer, _c2013.
300			_aXVI, 728 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aUNITEXT, _x2038-5714
505	0		_aIntroduction and mathematical backgrounds -- Normed and Banach spaces, examples and applications -- Hilbert spaces and bounded operators -- Families of compact operators on Hilbert spaces and fundamental properties -- Densely-defined unbounded operators on Hilbert spaces -- Phenomenology of quantum systems and Wave Mechanics: an overview -- The first 4 axioms of QM: propositions, quantum states and observables -- Spectral Theory I: generalities, abstract C -algebras and operators in B(H) -- Spectral theory II: unbounded operators on Hilbert spaces -- Spectral Theory III: applications -- Mathematical formulation of non-relativistic Quantum Mechanics -- Introduction to Quantum Symmetries -- Selected advanced topics in Quantum Mechanics -- Introduction to the Algebraic Formulation of Quantum Theories -- Order relations and groups -- Elements of differential geometry.
520			_aThis book pursues the accurate study of the mathematical foundations of Quantum Theories. It may be considered an introductory text on linear functional analysis with a focus on Hilbert spaces. Specific attention is given to spectral theory features that are relevant in physics. Having left the physical phenomenology in the background, it is the formal and logical aspects of the theory that are privileged. Another not lesser purpose is to collect in one place a number of useful rigorous statements on the mathematical structure of Quantum Mechanics, including some elementary, yet fundamental, results on the Algebraic Formulation of Quantum Theories. In the attempt to reach out to Master's or PhD students, both in physics and mathematics, the material is designed to be self-contained: it includes a summary of point-set topology and abstract measure theory, together with an appendix on differential geometry. The book should benefit established researchers to organise and present the profusion of advanced material disseminated in the literature. Most chapters are accompanied by exercises, many of which are solved explicitly.
650		0	_aMathematics.
650		0	_aGlobal analysis (Mathematics).
650		0	_aMathematical physics.
650	1	4	_aMathematics.
650	2	4	_aApplications of Mathematics.
650	2	4	_aTheoretical, Mathematical and Computational Physics.
650	2	4	_aMathematical Methods in Physics.
650	2	4	_aAnalysis.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9788847028340
830		0	_aUNITEXT, _x2038-5714
856	4	0	_uhttp://dx.doi.org/10.1007/978-88-470-2835-7
912			_aZDB-2-SMA
999			_c99247 _d99247