Zobrazeno 1 - 10
of 35
pro vyhledávání: '"delta prime interaction"'
Autor:
Ardila, Alex Hernandez
Publikováno v:
Evolution Equations and Control Theory (EECT), Pages: 155 - 175, Volume 6, Issue 2, June 2017
In this paper we study the one-dimensional logarithmic Schr\"odinger equation perturbed by an attractive $\delta^{\prime}$-interaction \[ i\partial_{t}u+\partial^{2}_{x}u+ \gamma\delta^{\prime}(x)u+u\, \mbox{Log}\left|u\right|^{2}=0, \quad (x,t)\in\m
Externí odkaz:
http://arxiv.org/abs/1608.06929
Autor:
A. R. Aliev, M. Dzh. Manafov
Publikováno v:
Differential Equations. 57:563-569
A first-order regularized trace formula has been obtained for the Sturm–Liouville operator with a point of $$ \delta ^{\prime }$$ -interaction. For large values of the spectral parameter, asymptotic representations have been found for solutions of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3837840f2447dacf5a500cc9791adb12
https://doi.org/10.1134/s0012266121050013
https://doi.org/10.1134/s0012266121050013
Publikováno v:
Journal of Physics A: Mathematical and Theoretical. 49:025302
In this note we provide an alternative way of defining the self-adjoint Hamiltonian of the harmonic oscillator perturbed by an attractive delta'-interaction, of strength beta, centred at 0 (the bottom of the confining parabolic potential), that was r
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::17fd02a2caec55dbd30eb9c54d4d688b
https://doi.org/10.1088/1751-8113/49/2/025302
https://doi.org/10.1088/1751-8113/49/2/025302
Autor:
Nizhnik, L.
Publikováno v:
Functional Analysis and Its Applications; January 2003, Vol. 37 Issue: 1 p72-74, 3p
Publikováno v:
Frontiers in Physics, Vol 4 (2016)
We consider the one dimensional problem of a non-relativistic quantum particle scattering off a double barrier built from two generalized point interactions (each one characterized as a member of the four parameter family of point interactions). The
Externí odkaz:
https://doaj.org/article/e9f95e8a3d934f59885cc6d7337c1772
Publikováno v:
Frontiers in Physics, Vol 4 (2016)
We consider the one dimensional problem of a non-relativistic quantum particle scattering off a double barrier built from two generalized point interactions (each one characterized as a member of the four parameter family of point interactions). The
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d3bb0c980c1ac71459d5c693e2337acc
Publikováno v:
Наносистемы: физика, химия, математика.
We solve the Cauchy problem for the Schr\"odinger equation corresponding to the family of Hamiltonians $H_{\gamma(t)}$ in $L^{2}(\mathbb{R})$ which describes a $\delta'$-interaction with time-dependent strength $1/\gamma(t)$. We prove that the strong
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1d573e100c788c786b1a8ec6d18f69df
http://cyberleninka.ru/article/n/time-dependent-delta-prime-interactions-in-dimension-one
http://cyberleninka.ru/article/n/time-dependent-delta-prime-interactions-in-dimension-one
Akademický článek
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Autor:
Hallnäs, Martin, Langmann, Edwin
Publikováno v:
Journal of Mathematical Physics; May2005, Vol. 46 Issue 5, p052101, 15p
We extend previous work on the vacuum energy of a massless scalar field in the presence of singular potentials. We consider a single sphere denoted by the so-called "delta-delta prime" interaction. Contrary to the Dirac delta potential, we find a non
Externí odkaz:
http://arxiv.org/abs/2212.04733