Zobrazeno 1 - 10
of 46
pro vyhledávání: '"Ruby V, Chithiika"'
Autor:
Ruby V, Chithiika, M, Lakshmanan
Li\'{e}nard-type nonlinear oscillators with linear and nonlinear damping terms exhibit diverse dynamical behavior in both the classical and quantum regimes. In this paper, we consider examples of various one-dimensional Li\'{e}nard type-I and type-II
Externí odkaz:
http://arxiv.org/abs/2405.01187
Quantum solvability of a nonlinear $\delta$-type mass profile system: Coupling constant quantization
In this paper, we discuss the quantum dynamics of a nonlinear system that admits temporally localized solutions at the classical level. We consider a general ordered position-dependent mass Hamiltonian in which the ordering parameters of the mass ter
Externí odkaz:
http://arxiv.org/abs/2207.14543
Autor:
Ruby, V. Chithiika, Lakshmanan, M.
In this paper, we investigate the quantum dynamics of underlying two one-dimensional quadratic Li'enard type nonlinear oscillators which are classified under the category of maximal (eight parameter) Lie point symmetry group (J. Math. Phys.54 , 05350
Externí odkaz:
http://arxiv.org/abs/2106.01882
Autor:
Ruby, V. Chithiika, Lakshmanan, M.
We consider two one dimensional nonlinear oscillators, namely (i) Higgs oscillator and (ii) a $k$-dependent nonpolynomial rational potential, where $k$ is the constant curvature of a Riemannian manifold. Both the systems are of position dependent mas
Externí odkaz:
http://arxiv.org/abs/2008.07134
In position dependent mass (PDM) problems, the quantum dynamics of the associated systems have been understood well in the literature for particular orderings. However, no efforts seem to have been made to solve such PDM problems for general ordering
Externí odkaz:
http://arxiv.org/abs/1709.06269
We consider the problem of removal of ordering ambiguity in position dependent mass quantum systems characterized by a generalized position dependent mass Hamiltonian which generalizes a number of Hermitian as well as non-Hermitian ordered forms of t
Externí odkaz:
http://arxiv.org/abs/1411.7152
Autor:
Ruby, V. Chithiika, Senthilvelan, M.
We construct photon modulated coherent states of a generalized isotonic oscillator by expanding the newly introduced superposed operator through Weyl ordering method. We evaluate the parameter $A_3$ and the $s$-parameterized quasi probability distrib
Externí odkaz:
http://arxiv.org/abs/1405.2710
We explore squeezed coherent states of a 3-dimensional generalized isotonic oscillator whose radial part is the newly introduced generalized isotonic oscillator whose bound state solutions have been shown to admit the recently discovered $X_1$-Laguer
Externí odkaz:
http://arxiv.org/abs/1211.6889
Publikováno v:
J. Phys. A: Math. Theor. 45 (2012) 382002
We carry out an exact quantization of a PT symmetric (reversible) Li\'{e}nard type one dimensional nonlinear oscillator both semiclassically and quantum mechanically. The associated time independent classical Hamiltonian is of non-standard type and i
Externí odkaz:
http://arxiv.org/abs/1209.1182
Autor:
Ruby, V. Chithiika, Senthilvelan, M.
In this paper, we construct nonlinear coherent states for the generalized isotonic oscillator and study their non-classical properties in-detail. By transforming the deformed ladder operators suitably, which generate the quadratic algebra, we obtain
Externí odkaz:
http://arxiv.org/abs/1202.5104