Results 21 to 30 of about 112,215 (282)
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
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Journal of Bangladesh Academy of Sciences, 1970 The work represents and investigates the stationary solutions of the one-dimensional Non-linear Schrödinger Equation (NLSE), for attractive non-linearity, in the Bose-Einstein condensates (BEC) under the box boundary condition and calculates the characteristics of internal modes of bright solitons (eigen modes of small perturbation of the condensate ...
MH Rashid +4 more
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Solving the Schrödinger equation with use of 1/N perturbation theory [PDF]
, 1984 The large N expansion provides a powerful new tool for solving the Schrödinger equation. In this paper, we present simple recursion formulas which facilitate the calculation.
Mlodinow, Leonard D., Shatz, Michael P.
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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
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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 +2 more
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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. +3 more
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Dimensional Hausdorff properties of singular continuous spectra [PDF]
, 1995 We present an extension of the Gilbert-Pearson theory of subordinacy, which relates dimensional Hausdorff spectral properties of one-dimensional Schrödinger operators to the behavior of solutions of the corresponding Schrödinger equation.
Jitomirskaya, Svetlana Ya., Last, Yoram
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Derivation of a dissipative Schrödinger equation VI: the Caldirola-Kanai equation [PDF]
Revista Brasileira de Ensino de FísicaIn 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
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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
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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 +2 more
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