Results 21 to 30 of about 91,891 (247)

The HELP inequality on trees [PDF]

, 2008
We establish analogues of Hardy and Littlewood's integro-differential equation for Schrödinger-type operators on metric and discrete trees, based on a generalised strong limit-point property of the graph ...
Brown, B. Malcolm, Langer, Matthias, Schmidt, Karl Michael   +2 more
core   +1 more source

Extension of the Schrodinger equation

EPJ Web of Conferences, 2017
Extension of the Schrodinger equation is submitted by removing its limitations appearing due to the limitations of the formalism of Hamilton, based on which this equation was obtained.
Somsikov Vyacheslav
doaj   +1 more source

The Approximation Property of a One-Dimensional, Time Independent Schrödinger Equation with a Hyperbolic Potential Well

Mathematics, 2020
A type of Hyers–Ulam stability of the one-dimensional, time independent Schrödinger equation was recently investigated; the relevant system had a parabolic potential wall.
Ginkyu Choi, Soon-Mo Jung
doaj   +1 more source

Interacting Stochastic Schrödinger Equation

Mathematics, 2023
Being the annihilation and creation operators on the space h of square integrable Bernoulli functionals, quantum Bernoulli noises (QBN) satisfy the canonical anti-commutation relation (CAR) in equal time.
Lu Zhang, Caishi Wang, Jinshu Chen
doaj   +1 more source

Dynamics of modulationally unstable ionacoustic wave packets in plasmas with negative ions [PDF]

, 2008
In this paper we study the propagation of nonlinear ion-acoustic waves in plasmas with negative ions. The Gardner equation governing these waves in plasmas with the negative ion concentration close to critical is derived.
Berezin, Das, Das, Das, EFIM PELINOVSKY, Engelbrecht, Grimshaw, Lonngren, MICHAEL S. RUDERMAN, Tagare, TATYANA TALIPOVA   +10 more
core   +1 more source

Solitary waves due to x(2):x(2) cascading [PDF]

, 1994
Solitary waves in materials with a cascaded x(2):x(2) nonlinearity are investigated, and the implications of the robustness hypothesis for these solitary waves are discussed. Both temporal and spatial solitary waves are studied.
Menyuk, Curtis, Schiek, Roland, Torner Sabata, Lluís   +2 more
core   +2 more sources

Superintegrability in three-dimensional Euclidean space [PDF]

, 1998
Potentials for which the corresponding Schrödinger equation is maximally superintegrable in three-dimensional Euclidean space are studied. The quadratic algebra which is associated with each of these potentials is constructed and the bound state wave ...
Kalnins, Ernie G., Miller, W., Jr., Pogosyan, G.S., Williams, G.C.   +3 more
core   +2 more sources

Approach to first-order exact solutions of the Ablowitz-Ladik equation [PDF]

, 2011
We derive exact solutions of the Ablowitz-Ladik (A-L) equation using a special ansatz that linearly relates the real and imaginary parts of the complex function.
Akhmediev, Nail, Ankiewicz, Adrian, Lederer, Falk   +2 more
core   +1 more source

Derivation of a dissipative Schrödinger equation VI: the Caldirola-Kanai equation [PDF]

Revista Brasileira de Ensino de Física
In this paper, our main objective is to derive the Caldirola-Kanai equation from first principles and present some analytical solutions to it. To do so, we will extend the axioms of the derivation of the Schrödinger equation and, thus, present the ...
Olavo L. Silva Filho, Marcello Ferreira
doaj   +1 more source

Derivation and Physical Meaning of the Schrodinger Equation of a Particle in One Dimensional Space

JPFT (Jurnal Pendidikan Fisika dan Teknologi), 2022
Research has been carried out to determine the physical meaning and derivation of the Schrodinger equation with the literature study research method. Based on the research results obtained through data processing in the form of information obtained from
Joko Krismanto Harianja
doaj   +1 more source