Zobrazeno 1 - 10
of 395
pro vyhledávání: '"Theoretical and experimental justification for the Schrödinger equation"'
Autor:
Jean-Louis Basdevant
Publikováno v:
Lectures on Quantum Mechanics ISBN: 9783031176340
Lectures on Quantum Mechanics ISBN: 9780387377476
Lectures on Quantum Mechanics ISBN: 9783319434780
Lectures on Quantum Mechanics ISBN: 9780387377476
Lectures on Quantum Mechanics ISBN: 9783319434780
The fundamental concepts and principles of mechanics, or dynamics, were established in the 17th century. Copernicus gave the notion of reference system in 1543, and Galileo stated the principle of inertia in 1638 in his important work Discorsi e dimo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bf79350159a5f7f1baa3654aacf58027
https://doi.org/10.1007/978-3-031-17635-7_3
https://doi.org/10.1007/978-3-031-17635-7_3
Autor:
Ali Akgül, Mir Sajjad Hashemi
Publikováno v:
Journal of Computational and Applied Mathematics. 339:147-160
This paper obtains analytical solution of nonlinear Schrodinger equation in both time and space fractional terms. Two analytical approaches, Nucci’s reduction method and simplest equation method are utilized to extract analytical solutions speciall
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::16062d96f9f80684c331f3d038c012d9
https://doi.org/10.1016/j.cam.2017.11.013
https://doi.org/10.1016/j.cam.2017.11.013
Autor:
Huan Zhang, Bo Cao
Publikováno v:
Optik. 158:112-117
In this paper, we investigate a generalized higher-order nonlinear Schrodinger (NLS) equation with two free parameters, including the third-order and fourth-order dispersion with matching higher-order nonlinear effects. The results show that the brea
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4cceef19dcad640b06a32d30e542d591
https://doi.org/10.1016/j.ijleo.2017.11.195
https://doi.org/10.1016/j.ijleo.2017.11.195
Publikováno v:
Journal of Mathematical Analysis and Applications. 459:661-685
The existence and nonexistence of the ground state to nonlinear Schrodinger equation on several types of metric graphs are considered. In particular, for some star graphs with only one central vertex, the existence of ground state solution or positiv
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c865c861d97e023e0a954423a2ad47bd
https://doi.org/10.1016/j.jmaa.2017.10.069
https://doi.org/10.1016/j.jmaa.2017.10.069
Publikováno v:
Optik. 157:1101-1105
The present paper acquires new optical solitons to the nonlinear Schrodinger equation (NLSE) which is investigated with third and fourth order dispersion terms. A modified form of Kudryashov approach is formally adopted to extract the exact analytica
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fef3dd02d070c03588ffb9d151feca0a
https://doi.org/10.1016/j.ijleo.2017.11.124
https://doi.org/10.1016/j.ijleo.2017.11.124
Autor:
Hayato Miyazaki, Satoshi Masaki
Publikováno v:
SIAM Journal on Mathematical Analysis. 50:3251-3270
In this paper, we consider the final state problem for the nonlinear Schrodinger equation with a homogeneous nonlinearity which is of the long range critical order and is not necessarily a polynomi...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::88c76bbae6b8e34576049fcf145aa040
https://doi.org/10.1137/17m1144829
https://doi.org/10.1137/17m1144829
Autor:
Alex H. Ardila
Publikováno v:
Communications on Pure & Applied Analysis. 17:163-175
In this paper we study the existence and orbital stability of ground states for logarithmic Schrodinger equation under a constant magnetic field. For this purpose we establish the well-posedness of the Cauchy Problem in a magnetic Sobolev space and a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f8979623799b9ffc2bd7435bcfad3058
https://doi.org/10.3934/cpaa.2018010
https://doi.org/10.3934/cpaa.2018010
Autor:
Giovany M. Figueiredo, Sara Barile
Publikováno v:
Journal of Elliptic and Parabolic Equations. 3:105-125
We show the existence of a complex solution to the following magnetic Schrodinger equation $$\begin{aligned} - (\nabla + i A(x) )^2 \, u + u = f(|u|^2) u \quad \hbox {in} \, \mathbb R^2 \end{aligned}$$ where $$A: \mathbb R^2 \rightarrow \mathbb R^2$$
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e4b4cbee031edc4d2f3bf8cb243ea3ba
https://doi.org/10.1007/s41808-017-0007-9
https://doi.org/10.1007/s41808-017-0007-9
Autor:
Marcel Mikl, Tobias Jahnke
Publikováno v:
Numerische Mathematik. 138:975-1009
The dispersion-managed nonlinear Schrodinger equation contains a small parameter $$\varepsilon $$ , a rapidly changing piecewise constant coefficient function, and a cubic nonlinearity. Typical solutions are highly oscillatory and have a discontinuou
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e0803fd84183645561809e67c1396775
https://doi.org/10.1007/s00211-017-0926-2
https://doi.org/10.1007/s00211-017-0926-2
Autor:
Rajesh Pandey
Publikováno v:
International Journal for Research in Applied Science and Engineering Technology. :174-177
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::87c570109b074e4b94b5ad17c8b5898b
https://doi.org/10.22214/ijraset.2017.10028
https://doi.org/10.22214/ijraset.2017.10028