Zobrazeno 1 - 10
of 214
pro vyhledávání: '"Roychoudhury, Rajkumar"'
Autor:
Sinha, Anjana1 (AUTHOR) sinha.anjana@gmail.com, Roychoudhury, Rajkumar2 (AUTHOR)
Publikováno v:
Pramana: Journal of Physics. Sep2023, Vol. 97 Issue 3, p1-7. 7p.
Publikováno v:
Annals of Physics 341 (2014) 12
The existence and stability of the nonlinear spatial localized modes are investigated in parity-time symmetric optical media characterized by a generic complex hyperbolic refractive index distribution with competing gain and loss profile. The exact a
Externí odkaz:
http://arxiv.org/abs/1306.5983
Publikováno v:
Physical Review A 87 (2013) 045803
We report the existence and properties of localized modes described by nonlinear Schroedinger equation with complex PT-symmetric Rosen-Morse potential well. Exact analytical expressions of the localized modes are found in both one dimensional and two
Externí odkaz:
http://arxiv.org/abs/1304.2105
Publikováno v:
Journal of Mathematical Physics (2013)
A non-Hermitian generalized oscillator model, generally known as the Swanson model, has been studied in the framework of R-deformed Heisenberg algebra. The non-Hermitian Hamiltonian is diagonalized by generalized Bogoliubov transformation. A set of d
Externí odkaz:
http://arxiv.org/abs/1301.0716
Publikováno v:
Journal of Physics A 44 (2011) 062001 (Fast Track Communication)
The generalized Swanson Hamiltonian $H_{GS} = w (\tilde{a}\tilde{a}^\dag+ 1/2) + \alpha \tilde{a}^2 + \beta \tilde{a}^{\dag^2}$ with $\tilde{a} = A(x)d/dx + B(x)$, can be transformed into an equivalent Hermitian Hamiltonian with the help of a similar
Externí odkaz:
http://arxiv.org/abs/1101.1040
Publikováno v:
Phys.Lett.A374:2605-2607,2010
It is shown that the PT symmetric Hamiltonian with the periodic potential V(x) = 4 cos^2 x + 4 i V_0 sin 2x can be mapped into a Hermitian Hamiltonian for $V_0<0.5$, by a similarity transformation. It is also shown that there exist a second critical
Externí odkaz:
http://arxiv.org/abs/1004.3218
Publikováno v:
Journal of Mathematical Physics 51, 022109 (2010)
Here we have studied first and second-order intertwining approach to generate isospectral partner potentials of position-dependent (effective) mass Schroedinger equation. The second-order intertwiner is constructed directly by taking it as second ord
Externí odkaz:
http://arxiv.org/abs/1001.1190
Autor:
Sinha, Anjana, Roychoudhury, Rajkumar
The one-dimensional Coulomb-like potential with a real coupling constant beta, and a centrifugal-like core of strength G = alpha^2 - {1/4}, viz. V(x) = {alpha^2 - (1/4)}/{(x-ic)^2} + beta/|x-ic|, is discussed in the framework of PT-symmetry. The PT-i
Externí odkaz:
http://arxiv.org/abs/quant-ph/0207132
Autor:
Sinha, Anjana, Roychoudhury, Rajkumar
We construct isospectral partner potentials of a complex PT-invariant potential, viz., V(x) = V_1 sech ^2 x - i V_2 sech x tanh x using Darboux's method. Oneset of isospectral potentials are obatined which can be termed 'Satellite potentials', in the
Externí odkaz:
http://arxiv.org/abs/quant-ph/0205124