000			01964fam a2200385 a 4500
001			2144263
003			BD-DhUL
005			20140915151955.0
008			980407s1998 nyu b 001 0 eng
010			_a 98018391
020			_a038798318X (hardcover : alk. paper)
035			_a(OCoLC)38966087
035			_a(OCoLC)ocm38966087
035			_a(NNC)2144263
040			_aDLC _cDLC _dNNC _dOrLoB-B _dBD-DhUL
050	0	0	_aQC174.17.M35 _bL36 1998
082	0	0	_a530.12 _221 _bLAM
100	1		_aLandsman, N. P. _q(Nicholas P.)
245	1	0	_aMathematical topics between classical and quantum mechanics / _cN.P. Landsman.
260			_aNew York : _bSpringer, _cc1998.
263			_a9809
300			_axix, 529 p. ; _c24 cm. _bill. ;
365			_aUSD _b125.96
504			_aIncludes bibliographical references (p. [483]-520) and index.
505	0	0	_gI. _tObservables and Pure States -- _gII. _tQuantization and the Classical Limit -- _gIII. _tGroups, Bundles, and Groupoids -- _gIV. _tReduction and Induction.
520			_aThis monograph draws on two traditions: the algebraic formulation of quantum mechanics and quantum field theory, and the geometric theory of classical mechanics. These are combined into a unified treatment of the theory of Poisson algebras and operator algebras, based on the duality between algebras of observables and pure state spaces with a transition probability. The theory of quantization and the classical limit is discussed from this perspective.
520	8		_aThis book should be accessible to mathematicians with some prior knowledge of classical and quantum mechanics, to mathematical physicists, and to theoretical physicists who have some background in functional analysis.
650		0	_aQuantum theory _xMathematics.
650		0	_aQuantum field theory _xMathematics.
650		0	_aHilbert space.
650		0	_aGeometry, Differential.
650		0	_aMathematical physics.
900			_aAUTH _bTOC
942			_2ddc _cBK
999			_c10618 _d10618