Zobrazeno 1 - 10
of 399
pro vyhledávání: '"Lévai, G."'
Autor:
Ishkhanyan, A. M., Lévai, G.
Publikováno v:
Physica Scripta 95, 085202 (2020)
We examine the conditions under which the solution of the radial stationary Schr\"odinger equation for the sextic anharmonic oscillator can be expanded in terms of Hermite functions. We find that this is possible for an infinite hierarchy of potentia
Externí odkaz:
http://arxiv.org/abs/2003.08184
Autor:
Lévai, G., Ishkhanyan, A. M.
Publikováno v:
Modern Phys. Lett. A 34, 1950134 (2019)
The sextic oscillator is discussed as a potential obtained from the bi-confluent Heun equation after a suitable variable transformation. Following earlier results, the solutions of this differential equation are expressed as a series expansion of Her
Externí odkaz:
http://arxiv.org/abs/1904.09488
Publikováno v:
published in PLA in 2017
The real Scarf II potential is discussed as a radial problem. This potential has been studied extensively as a one-dimensional problem, and now these results are used to construct its bound and resonance solutions for $l=0$ by setting the origin at s
Externí odkaz:
http://arxiv.org/abs/1704.05634
Autor:
Lévai, G.
Publikováno v:
Phys. Rev. C 88 (2013) 014328
The alpha-cluster states of $^{22}$Ne are studied within the framework of the semimicroscopic algebraic cluster model (SACM). The band structure, energy spectrum as well as E2 and E1 transitions are calculated and are compared with the experimental d
Externí odkaz:
http://arxiv.org/abs/1307.3007
We investigate the geometrical mapping of algebraic models. As particular examples we consider the Semimicriscopic Algebraic Cluster Model (SACM) and the Phenomenological Algebraic Cluster Model (PACM), which also contains the vibron model, as a spec
Externí odkaz:
http://arxiv.org/abs/1212.0345
Based on the results of a previous paper (Paper I), by performing the geometrical mapping via coherent states, phase transitions are investigated and compared within two algebraic cluster models. The difference between the Semimicroscopic Algebraic C
Externí odkaz:
http://arxiv.org/abs/1108.3291
The geometrical mapping of algebraic nuclear cluster models is investigated within the coherent state formalism. Two models are considered: the Semimicroscopic Algebraic Cluster Model (SACM) and the Phenomenological Algebraic Cluster Model (PACM), wh
Externí odkaz:
http://arxiv.org/abs/1108.3283
Autor:
Lévai, G., Arias, J. M.
Publikováno v:
Phys.Rev. C69 (2004) 014304
The sextic oscillator is proposed as a two-parameter solvable $\gamma$-independent potential in the Bohr Hamiltonian. It is shown that closed analytical expressions can be derived for the energies and wavefunctions of the first few levels and for the
Externí odkaz:
http://arxiv.org/abs/nucl-th/0311069
Publikováno v:
J. Phys. A: Math. Gen. 36 (2003) 7611
The ${\cal PT}$ symmetric version of the generalised Ginocchio potential, a member of the general exactly solvable Natanzon potential class is analysed and its properties are compared with those of ${\cal PT}$ symmetric potentials from the more restr
Externí odkaz:
http://arxiv.org/abs/quant-ph/0306031
The ${\cal PT}$ symmetric version of the generalised Ginocchio potential, a member of the general exactly solvable Natanzon potential class is analysed and its properties are compared with those of ${\cal PT}$ symmetric potentials from the more restr
Externí odkaz:
http://arxiv.org/abs/quant-ph/0306030