Zobrazeno 1 - 10
of 58
pro vyhledávání: '"Chatterjee, Supriya"'
The Sturm-Liouville equation represents the linearized form of the first-order Riccati equation. This provides an evidence for the connection between Schwarzian derivative and this first-order nonlinear differential equation. Similar connection is no
Externí odkaz:
http://arxiv.org/abs/2208.08409
We make use of Shannon entropy ($S$) and Fisher information ($I$) to study the response of atomic density profiles of a spin-orbit coupled Bose-Einstein condensate to changes in the wave number ($\kappa_L$) of the Raman laser that couples two hyperfi
Externí odkaz:
http://arxiv.org/abs/2112.13417
This \textquoteleft research-survey' is meant for beginners in the studies of integrable systems. Here we outline some analytical methods for dealing with a class of nonlinear partial differential equations. We pay special attention to \textquoteleft
Externí odkaz:
http://arxiv.org/abs/2012.03456
In this paper we have chosen to work with two different approaches to solving the inverse problem of the calculus of variation. The first approach is based on an integral representation of the Lagrangian function that uses the first integral of the e
Externí odkaz:
http://arxiv.org/abs/2008.03116
We show that the theory of self-adjoint differential equations can be used to provide a satisfactory solution of the inverse variational problem in classical mechanics. A Newtonian equation when transformed to the self-adjoint form allows one to find
Externí odkaz:
http://arxiv.org/abs/2006.08597
Publikováno v:
European Journal of Physics (2002)
We point out that a typical two-electron distribution function in atoms and molecules often called the intracule depends sensitively on the electron-electron repulsion which leads to the so-called Coulomb correlation. The difference between the intra
Externí odkaz:
http://arxiv.org/abs/2005.05904
We investigate how the theory of self-adjoint differential equations alone can be used to provide a satisfactory solution of the inverse vatiational problem. For the discrete system, the self-adjoint form of the Newtonian equation allows one to find
Externí odkaz:
http://arxiv.org/abs/1805.07711
Autor:
Talukdar, Benoy1 (AUTHOR), Chatterjee, Supriya2 (AUTHOR), Sekh, Golam Ali3 (AUTHOR) skgolamali@gmail.com
Publikováno v:
Pramana: Journal of Physics. Dec2023, Vol. 97 Issue 4, p1-5. 5p.
We prove that the bound-state momentum-space wave function $\phi(p)$ for the quasi-one-dimensional hydrogen atom as used by Olendski in two recent publications (Eur. J. Phys.38, 038001(2017), arXiv : 1703.10042v1, 26 Mar2017) is incorrect. Further, w
Externí odkaz:
http://arxiv.org/abs/1705.03007
The coordinate-space wave function $\psi(x)$ of quasi-one-dimensional atoms is defined in the $x\geq 0$ region only. This poses a typical problem to write a physically acceptable momentum-space wave function $\phi(p)$ from the Fourier transform of $\
Externí odkaz:
http://arxiv.org/abs/1703.03578