000			03143nam a22005055i 4500
001			978-3-540-35386-7
003			DE-He213
005			20190213151306.0
007			cr nn 008mamaa
008			100301s2006 gw | s |||| 0|eng d
020			_a9783540353867 _9978-3-540-35386-7
024	7		_a10.1007/b11771456 _2doi
050		4	_aQC5.53
072		7	_aPHU _2bicssc
072		7	_aSCI040000 _2bisacsh
072		7	_aPHU _2thema
082	0	4	_a530.15 _223
100	1		_aShchepetilov, Alexey V. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut
245	1	0	_aCalculus and Mechanics on Two-Point Homogenous Riemannian Spaces _h[electronic resource] / _cby Alexey V. Shchepetilov.
264		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2006.
300			_aXVIII, 242 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 Physics, _x0075-8450 ; _v707
505	0		_aTwo-Point Homogeneous Riemannian Spaces -- Differential Operators on Smooth Manifolds -- Algebras of Invariant Differential Operators on Unit Sphere Bundles Over Two-Point Homogeneous Riemannian Spaces -- Hamiltonian Systems with Symmetry and Their Reduction -- Two-Body Hamiltonian on Two-Point Homogeneous Spaces -- Particle in a Central Field on Two-Point Homogeneous Spaces -- Classical Two-Body Problem on Two-Point Homogeneous Riemannian Spaces -- Quasi-Exactly Solvability of the Quantum Mechanical Two-Body Problem on Spheres.
520			_aThe present monograph gives a short and concise introduction to classical and quantum mechanics on two-point homogenous Riemannian spaces, with empahsis on spaces with constant curvature. Chapter 1-4 provide the basic notations from differential geometry for studying two-body dynamics in these spaces. Chapter 5 deals with the problem of finding explicitly invariant expressions for the two-body quantum Hamiltonian. Chapter 6 addresses one-body problems in a central potential. Chapter 7 studies the classical counterpart of the quantum system of chapter 5. Chapter 8 investigates some applications in the quantum realm, namely for the coulomb and oscillator potentials.
650		0	_aMathematical physics.
650		0	_aGlobal differential geometry.
650		0	_aMechanics.
650	1	4	_aMathematical Methods in Physics. _0http://scigraph.springernature.com/things/product-market-codes/P19013
650	2	4	_aDifferential Geometry. _0http://scigraph.springernature.com/things/product-market-codes/M21022
650	2	4	_aClassical Mechanics. _0http://scigraph.springernature.com/things/product-market-codes/P21018
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783642071270
776	0	8	_iPrinted edition: _z9783540825685
776	0	8	_iPrinted edition: _z9783540353843
830		0	_aLecture Notes in Physics, _x0075-8450 ; _v707
856	4	0	_uhttps://doi.org/10.1007/b11771456
912			_aZDB-2-PHA
912			_aZDB-2-LNP
999			_c10175 _d10175