000			03503nam a22004815i 4500
001			978-3-642-21866-8
003			DE-He213
005			20140220083806.0
007			cr nn 008mamaa
008			110923s2011 gw | s |||| 0|eng d
020			_a9783642218668 _9978-3-642-21866-8
024	7		_a10.1007/978-3-642-21866-8 _2doi
050		4	_aQA319-329.9
072		7	_aPBKF _2bicssc
072		7	_aMAT037000 _2bisacsh
082	0	4	_a515.7 _223
100	1		_aGustafson, Stephen J. _eauthor.
245	1	0	_aMathematical Concepts of Quantum Mechanics _h[electronic resource] / _cby Stephen J. Gustafson, Israel Michael Sigal.
264		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2011.
300			_aXIII, 382p. 37 illus. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aUniversitext, _x0172-5939
505	0		_a1 Physical Background -- 2 Dynamics -- 3 Observables -- 4 Quantization -- 5 Uncertainty Principle and Stability of Atoms and Molecules -- 6 Spectrum and Dynamics -- 7 Special Cases -- 8 Bound States and Variational Principle -- 9 Scattering States -- Existence of Atoms and Molecules -- 11 Perturbation Theory: Feshbach-Schur Method -- 12 General Theory of Many-particle Systems -- 13 Self-consistent Approximations -- 14 The Feynman Path Integral -- 15 Quasi-classical Analysis -- 16 Resonances -- 17 Quantum Statistics -- 18 The Second Quantization -- 19 Quantum Electro-Magnetic Field – Photons -- 20 Standard Model of Non-relativistic Matter and Radiation -- 21 Theory of Radiation -- 22 Renormalization Group -- 23 Mathematical Supplement: Spectral Analysis -- 24 Mathematical Supplement: The Calculus of Variations -- 25 Comments on Literature, and Further Reading -- References -- Index.
520			_aThe book gives a streamlined introduction to quantum mechanics while describing the basic mathematical structures underpinning this discipline. Starting with an overview of key physical experiments illustrating the origin of the physical foundations, the book proceeds with a description of the basic notions of quantum mechanics and their mathematical content. It then makes its way to topics of current interest, specifically those in which mathematics plays an important role. The more advanced topics presented include many-body systems, modern perturbation theory, path integrals, the theory of resonances, quantum statistics, mean-field theory, second quantization, the theory of radiation (non-relativistic quantum electrodynamics), and the renormalization group. With different selections of chapters, the book can serve as a text for an introductory, intermediate, or advanced course in quantum mechanics. The last four chapters could also serve as an introductory course in quantum field theory.
650		0	_aMathematics.
650		0	_aFunctional analysis.
650		0	_aQuantum theory.
650	1	4	_aMathematics.
650	2	4	_aFunctional Analysis.
650	2	4	_aTheoretical, Mathematical and Computational Physics.
650	2	4	_aQuantum Physics.
700	1		_aSigal, Israel Michael. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783642218651
830		0	_aUniversitext, _x0172-5939
856	4	0	_uhttp://dx.doi.org/10.1007/978-3-642-21866-8
912			_aZDB-2-SMA
999			_c108085 _d108085