000			02851nam a22004935i 4500
001			978-3-642-24384-4
003			DE-He213
005			20140220083814.0
007			cr nn 008mamaa
008			111202s2011 gw | s |||| 0|eng d
020			_a9783642243844 _9978-3-642-24384-4
024	7		_a10.1007/978-3-642-24384-4 _2doi
050		4	_aQC173.45-173.458
072		7	_aPHF _2bicssc
072		7	_aSCI077000 _2bisacsh
082	0	4	_a530.41 _223
100	1		_aGreiter, Martin. _eauthor.
245	1	0	_aMapping of Parent Hamiltonians _h[electronic resource] : _bFrom Abelian and non-Abelian Quantum Hall States to Exact Models of Critical Spin Chains / _cby Martin Greiter.
264		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2011.
300			_aXIV, 194p. 22 illus. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aSpringer Tracts in Modern Physics, _x0081-3869 ; _v244
505	0		_aIntroduction and summary -- Three models and a ground state -- From a Laughlin state to the Haldane-Shastry model -- From a bosonic Pfaffian state to an S = 1 spin chain -- Generalization to arbitrary spin S -- Conclusions and unresolved issues -- Spherical coordinates -- Fourier sums for one-dimensional lattices -- Angular momentum algebra -- Tensor decompositions of spin operators.
520			_aThis monograph introduces an exact model for a critical spin chain with arbitrary spin S, which includes the Haldane--Shastry model as the special case S=1/2.  While spinons in the Haldane-Shastry model obey abelian half-fermi statistics, the spinons in the general model introduced here obey non-abelian statistics.  This manifests itself through topological choices for the fractional momentum spacings.  The general model is derived by mapping exact models of quantized Hall states onto spin chains.  The book begins with pedagogical review of all the relevant models including the non-abelian statistics in the Pfaffian Hall state, and is understandable to every student with a graduate course in quantum mechanics.
650		0	_aPhysics.
650		0	_aQuantum theory.
650		0	_aMathematical physics.
650	1	4	_aPhysics.
650	2	4	_aCondensed Matter Physics.
650	2	4	_aQuantum Physics.
650	2	4	_aStatistical Physics, Dynamical Systems and Complexity.
650	2	4	_aMathematical Methods in Physics.
650	2	4	_aMathematical Physics.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783642243837
830		0	_aSpringer Tracts in Modern Physics, _x0081-3869 ; _v244
856	4	0	_uhttp://dx.doi.org/10.1007/978-3-642-24384-4
912			_aZDB-2-PHA
999			_c108486 _d108486