000			02906nam a22004815i 4500
001			978-3-540-47367-1
003			DE-He213
005			20160624101826.0
007			cr nn 008mamaa
008			121227s1991 gw | s |||| 0|eng d
020			_a9783540473671 _9978-3-540-47367-1
024	7		_a10.1007/BFb0098303 _2doi
050		4	_aQA299.6-433
072		7	_aPBK _2bicssc
072		7	_aMAT034000 _2bisacsh
082	0	4	_a515 _223
100	1		_aNielsen, Torben T. _eauthor.
245	1	0	_aBose Algebras: The Complex and Real Wave Representations _h[electronic resource] / _cby Torben T. Nielsen.
260		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c1991.
264		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c1991.
300			_aVI, 138 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aLecture Notes in Mathematics, _x0075-8434 ; _v1472
505	0		_aThe Bose algebra ?0?,?,? -- Lifting operators to ?? -- The coherent vectors in ?? -- The Wick ordering and the Weyl relations -- Some special operators -- The complex wave representation -- The real wave representation -- Bose algebras of operators -- Wave representations of ?(?+?*).
520			_aThe mathematics of Bose-Fock spaces is built on the notion of a commutative algebra and this algebraic structure makes the theory appealing both to mathematicians with no background in physics and to theorectical and mathematical physicists who will at once recognize that the familiar set-up does not obscure the direct relevance to theoretical physics. The well-known complex and real wave representations appear here as natural consequences of the basic mathematical structure - a mathematician familiar with category theory will regard these representations as functors. Operators generated by creations and annihilations in a given Bose algebra are shown to give rise to a new Bose algebra of operators yielding the Weyl calculus of pseudo-differential operators. The book will be useful to mathematicians interested in analysis in infinitely many dimensions or in the mathematics of quantum fields and to theoretical physicists who can profit from the use of an effective and rigrous Bose formalism.
650		0	_aMathematics.
650		0	_aGlobal analysis (Mathematics).
650		0	_aMathematical physics.
650	1	4	_aMathematics.
650	2	4	_aAnalysis.
650	2	4	_aMathematical and Computational Physics.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783540540410
786			_dSpringer
830		0	_aLecture Notes in Mathematics, _x0075-8434 ; _v1472
856	4	0	_uhttp://dx.doi.org/10.1007/BFb0098303
942			_2EBK1559 _cEBK
999			_c30853 _d30853