Zobrazeno 1 - 10
of 24
pro vyhledávání: '"Tutunculer, Hayriye"'
Publikováno v:
J. Phys. A: Math. Theor. 43 (2010) 395208 (9pp)
We apply the notion of asymptotic iteration method (AIM) to determine eigenvalues of the bosonic Hamiltonians that include a wide class of quantum optical models. We consider solutions of the Hamiltonians, which are even polynomials of the fourth ord
Externí odkaz:
http://arxiv.org/abs/1009.0244
Publikováno v:
Chinese J. Phys., 46, 1-13 (2008)
A method is suggested to obtain solutions of the various quantum optical Hamiltonians in the framework of the asymptotic iteration method. We extend the notion of asymptotic iteration method to solve the 2 \times 2 matrix Hamiltonians. On a particula
Externí odkaz:
http://arxiv.org/abs/0803.0673
Publikováno v:
CHIN.PHYS.LETT. Vol. 23,No. 3 (2006) 539
A supersymmetric technique for the bound-state solutions of the s-wave Klein--Gordon equation with equal scalar and vector standard Eckart type potential is proposed. Its exact solutions are obtained. Possible generalization of our approach is outlin
Externí odkaz:
http://arxiv.org/abs/quant-ph/0601152
Publikováno v:
Eur. Phys. J. D 12, (2000), 467-472
It is now well known that electron (hole)-vibron coupling and hence Jahn-Teller (JT) effect is important understanding the properties of $C_{60}$ and related molecules. In this paper, we study $H\otimes (2h\oplus g)$ coupling case to find the potenti
Externí odkaz:
http://arxiv.org/abs/physics/0511125
Publikováno v:
Annals of Phys. 319 (2005) 333-347
We consider solutions of the 2x2 matrix Hamiltonians of the physical systems within the context of the su(2) and su(1,1) Lie algebra. Our technique is relatively simple when compared with the others and treats those Hamiltonians which can be treated
Externí odkaz:
http://arxiv.org/abs/quant-ph/0505106
Publikováno v:
NUOVO CIMENTO Vol. 119 B, N. 10 (2004)
We have constructed the quasi-exactly-solvable two-mode bosonic realizations of su(2) and su(1, 1) algebra. We derive the relations leading to the conditions for quasi-exact solvability of two-boson Hamiltonians by determining a general procedure whi
Externí odkaz:
http://arxiv.org/abs/math-ph/0504072
Publikováno v:
J. Phys. A: Math. Gen.37 2004 11431-11438
We present a method to solve the problem of Rashba spin-orbit coupling in semiconductor quantum dots, within the context of quasi-exactly solvable spectral problems. We show that the problem possesses a hidden osp(2,2) superalgebra. We constructed a
Externí odkaz:
http://arxiv.org/abs/quant-ph/0411124
Publikováno v:
Prog. Theor. Phys. 110, 3, (2003) 399-405
We consider the solution of a generalized Exe Jahn-Teller Hamiltonian in the context of quasi-exactly solvable spectral problems. This Hamiltonian is expressed in terms of the generators of the osp(2,2) Lie algebra. Analytical expressions are obtaine
Externí odkaz:
http://arxiv.org/abs/quant-ph/0410180
A method is suggested to obtain the quasi exact solution of the Rabi Hamiltonian. It is conceptually simple and can be easily extended to other systems. The analytical expressions are obtained for eigenstates and eigenvalues in terms of orthogonal po
Externí odkaz:
http://arxiv.org/abs/quant-ph/0410178
Publikováno v:
J. Korean Phys. Soc., Vol. 45, No. 4, October 2004, pp. 837-840
We present a procedure to solve the Schroedinger equation of two interacting electrons in a quantum dot in the presence of an external magnetic field within the context of quasi-exactly-solvable spectral problems. We show that the symmetries of the H
Externí odkaz:
http://arxiv.org/abs/quant-ph/0410181