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200	1		_aQuantum mechanics model on a Kдhler conifold _fS. Bellucci, A. P. Nersessian, A. Yeranyan
203			_aText _celectronic
300			_aTitle screen
320			_a[References: 11 tit.]
330			_aWe propose an exactly solvable model of the quantum oscillator on the class of Kдhler spaces (with conic singularities), connected with two-dimensional complex projective spaces. Its energy spectrum is nondegenerate in the orbital quantum number, when the space has nonconstant curvature. We reduce the model to a three-dimensional system interacting with the Dirac monopole. Owing to noncommutativity of the reduction and quantization procedures, the Hamiltonian of the reduced system gets nontrivial quantum corrections. We transform the reduced system into a MIC-Kepler-like one and find that quantum corrections arise only in its energy and coupling constant. We present the exact spectrum of the generalized MIC-Kepler system. The one-(complex) dimensional analog of the suggested model is formulated on the Riemann surface over the complex projective plane and could be interpreted as a system with fractional spin.
333			_aРежим доступа: по договору с организацией-держателем ресурса
461			_tPhysical Review D _oParticles, Fields, Gravitation, and Cosmology _oScientific Journal
463			_tVol. 70, iss. 4 _v[045006, 5 p.] _d2004
610	1		_aэлектронный ресурс
610	1		_aтруды учёных ТПУ
700		1	_aBellucci _bS. _gStefano
701		1	_aNersessian _bA. P. _cphysicist _cProfessor of Tomsk Polytechnic University _f1964- _gArmen Petrosovich _2stltpush _3(RuTPU)RU\TPU\pers\34605
701		1	_aYeranyan _bA. _gArmen
801		2	_aRU _b63413507 _c20150521 _gRCR
856	4		_uhttp://dx.doi.org/10.1103/PhysRevD.70.045006
856	4		_uhttp://arxiv.org/abs/hep-th/0312323
942			_cCF