An object-oriented implementation of a solver of the time-dependent Schrödinger equation using the CUDA technology

Dziubak, Tomasz; Matulewski, Jacek

doi:10.1016/j.cpc.2011.11.026

Cited by 17 publications

(12 citation statements)

References 9 publications

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“…To do so we have solved the time-dependent Schrödinger equation (2) numerically using the Chebyshev method [35][36][37], as described in appendix A. We must first specify the radial distribution, u ( ) r , of the initial wavefunction (3).…”

Section: Electron Trajectories and Angular Momentummentioning

confidence: 99%

Parallel axis theorem for free-space electron wavefunctions

2015

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We consider the orbital angular momentum of a free electron vortex moving in a uniform magnetic field. We identify three contributions to this angular momentum: the canonical orbital angular momentum associated with the vortex, the angular momentum of the cyclotron orbit of the wavefunction, and a diamagnetic angular momentum. The cyclotron and diamagnetic angular momenta are found to be separable according to the parallel axis theorem. This means that rotations can occur with respect to two or more axes simultaneously, which can be observed with superpositions of vortex states.

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Section: Electron Trajectories and Angular Momentummentioning

confidence: 99%

Parallel axis theorem for free-space electron wavefunctions

2015

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“…Now, some of the top foreign companies and research institutions are conducting the related research and developing some systems that can run the test, and its application areas include the vulnerability found, the worm detection and the identification of the dangerous websites. So far, the international famous research institutions and commercial companies had developed their own application systems [7][8][9], such as Microsoft HoneyMonkey system; IBM's Billy Goat system; Symantec company's Script Blocking technology. Google's engineers think that the remote attack and firewall are already past and take advantage of the browser, and Google utilizes the strengths and resources of their own search engine technology.…”

Section: Introductionmentioning

confidence: 99%

Malicious URL Detection Algorithm based on BM Pattern Matching

Yu¹

2015

IJSIA

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In the virus world of Internet, it is a challenging and urgent problem that how can we ensure the safety of search engines. A security subsystem of the search engine based on the research of content-based image search engine system V2.0 is developed. A malicious URL (Uniform Resource Locator) detection method based on BM (Boyer-Moore) pattern matching is proposed. The main research contents and results are as follows: Many malicious URLs could be downloaded by web image search, which may cause unnecessary loses to the users. So the malicious URL detection algorithm based on BM pattern matching is proposed. This method is to let the URL source code match the virus characteristics in the database to confirm whether the URL is safe or not. Web image search detects 203 malicious URLs based on this method. By kaspersky scanning, we confirmed 189 URLs to be malicious URLs, and the error rate is 6.9%, and the accurate rate is 93.1%. The experimental results show that the malicious URL detection algorithm provides secure URLs for web image search engine..

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“…The same applies to all the operators in the right hand side of Eq. (9). Using this decomposition we can write the operators as follows,…”

Section: Density Matrix Formalism Using Su (N ) Generatorsmentioning

confidence: 99%

“…Examples of codes that solve the Schrödinger equation in the position representation have been published for both stationary [7] and time evolving [8,9,10] many body systems. On the other hand, representation of finite, quantum-mechanical, closed systems has been developed in order to perform quantum computing calculations (see e.g.…”

Section: Related Workmentioning

confidence: 99%

A Simple Quantum Integro-Differential Solver (SQuIDS)

Argüelles

Salvadó

Weaver

2015

Computer Physics Communications

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Simple Quantum Integro-Differential Solver (SQuIDS) is a C++ code designed to solve semi-analytically the evolution of a set of density matrices and scalar functions. This is done efficiently by expressing all operators in an SU(N) basis. SQuIDS provides a base class from which users can derive new classes to include new non-trivial terms from the right hand sides of density matrix equations. The code was designed in the context of solving neutrino oscillation problems, but can be applied to any problem that involves solving the quantum evolution of a collection of particles with Hilbert space of dimension up to six.

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An object-oriented implementation of a solver of the time-dependent Schrödinger equation using the CUDA technology

Cited by 17 publications

References 9 publications

Parallel axis theorem for free-space electron wavefunctions

Parallel axis theorem for free-space electron wavefunctions

Malicious URL Detection Algorithm based on BM Pattern Matching

A Simple Quantum Integro-Differential Solver (SQuIDS)

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