Browsing by Subject "Schrödinger, Equació de"

Now showing items 1-12 of 12

    • Classical Field simulations of a 1D quasi-condensate gas 

      Blanch Garrido, Adrià (Universitat Politècnica de Catalunya, 2023-07-07)
      Bachelor thesis
      Open Access
      Covenantee:   Université Paris-Saclay
      This thesis presents a numerical work on ultracold 1D boson gases. We first present a theoretical framework that explains the physics of 1D Bose gases. We then perform numerical simulations of these systems described by ...

    • Dynamics of Many-Body Quantum Systems 

      Giménez Grau, Aleix (Universitat Politècnica de Catalunya, 2015-07-03)
      Bachelor thesis
      Open Access
      We study the ground state and the excitations of quantum bose systems. The hypernetted chain equations (HNC) are introduced and we show that the methods based on them produce acceptable approximations of the static structure ...

    • Growth of sobolev norms for the cubic defocusing NLS with a convolution potential 

      Guàrdia Munarriz, Marcel (2014-03-16)
      Article
      Open Access
      Fix s > 1. Colliander et al. proved in (Invent Math 181:39–113, 2010 )the existence of solutions of the cubic defocusing nonlinear Schrödinger equation in the two torus whose s -Sobolev norm undergoes arbitrarily large ...

    • Kirchhoff indexes of a network 

      Bendito Pérez, Enrique; Carmona Mejías, Ángeles; Encinas Bachiller, Andrés Marcos; Gesto Beiroa, José Manuel; Mitjana Riera, Margarida (Elsevier, 2010-04-15)
      Article
      Restricted access - publisher's policy
      In this work we define the effective resistance between any pair of vertices with respect to a value λ ≥ 0 and a weight ω on the vertex set. This allows us to consider a generalization of the Kirchhoff Index of a finite ...

    • Linear and Nonlinear Bullets of the Bogoliubov-de Gennes Excitations 

      Kumar, Shubham; Perego, A.M.; Staliunas, Kestutis (2017-01-27)
      Article
      Open Access
      We report on the focalization of Bogoliubov–de Gennes excitations of the nonlinear Schrödinger equation in the defocusing regime (Gross-Pitaevskii equation for repulsive Bose-Einstein condensates) with a spatially modulated ...

    • Mixtures of quantum dipolar gases: mixing and demixing 

      Pradas Rodriguez, Sergi (Universitat Politècnica de Catalunya, 2021-07-13)
      Bachelor thesis
      Open Access
      Presentem un anàlisis microscòpic de una barreja binaria de bosons dipolars a temperatura cero confinada en el pla xy amb moments dipolars (magnètics) permanents en la direcció z. Les interaccions dipol-dipol són repulsives ...

    • Propagation of collective modes in non-overlapping dipolar Bose-Einstein condensates 

      Gallemí Camacho, Alberto (Universitat Politècnica de Catalunya, 2013-07-19)
      Master thesis
      Open Access
      [ANGLÈS] We have studied the propagation of different collective modes of excitation (dipolar, monopolar and quadrupolar) in double and triple-well configurations in dipolar Bose-Einstein Condensates, due to the long-range ...

    • Quantum particles in fractal external potential 

      Amorós Trepat, Marc (Universitat Politècnica de Catalunya, 2021-06-28)
      Bachelor thesis
      Open Access
      The Schrödinger equation gives us a time evolution of the wave function of a certain quantum system, thus we obtain a mathematical description of this system. This project focuses on solving it numerically, using the exact ...

    • Shadowing of non-transversal heteroclinic chains 

      Delshams Valdés, Amadeu; Simon, Adriá; Zgliczynski, Piotr (2017-12-01)
      Article
      Open Access
      © 2017 Elsevier Inc. We present a new result about the shadowing of non-transversal chain of heteroclinic connections based on the idea of dropping dimensions. We illustrate this new mechanism with several examples. As an ...

    • Software refactoring: solving the time-dependent Schrodinger equation via fast Fourier transforms and parallel programming 

      Khwaldeh, Ali; Tahat, Amani; Martí Rabassa, Jordi (2012-10-30)
      Article
      Restricted access - publisher's policy
      In this study a multiprocessor C++ message passing interface implementation of a new bit-reversal algorithm to numerically solve the time dependent Schrodinger equation using a spectral method based on Fourier transform ...

    • SSMS: A split step multiband simulation software 

      Khare, Prasunika; Costa, Nelson; Pedro, João; Napoli, Antonio; Arpanaei, Farhad; Comellas Colomé, Jaume; Ruiz Ramírez, Marc; Velasco Esteban, Luis Domingo (Institute of Electrical and Electronics Engineers (IEEE), 2023)
      Conference report
      Open Access
      We introduce SSMS, a multiband optical fiber simulator entirely developed in MATLAB. SSMS solves the generalized nonlinear Schrödinger equation relying on the 4 th order Runge-Kutta method in Interaction Picture (RK4IP) ...

    • Symmetries of the Free Schrodinger Equation in the Non-Commutative Plane 

      Batlle Arnau, Carles; Gomis, Jaoquim; Kamimura, kiyoshi (2014-01-01)
      Article
      Open Access
      We study all the symmetries of the free Schrodinger equation in the non-commutative plane. These symmetry transformations form an infinite-dimensional Weyl algebra that appears naturally from a two-dimensional Heisenberg ...