MINIMIZING THE GROSS-PITAEVSKII ENERGY FUNCTIONAL WITH THE SOBOLEV GRADIENT — ANALYTICAL AND NUMERICAL RESULTS
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Publication:2837975
DOI10.1142/S0219876210002301zbMath1267.81294arXiv0906.3206MaRDI QIDQ2837975
Michael Eckart, Parimah Kazemi
Publication date: 8 July 2013
Published in: International Journal of Computational Methods (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0906.3206
Computational methods for problems pertaining to quantum theory (81-08) Weak interaction in quantum theory (81V15)
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Cites Work
- Potential theory and applications in a constructive method for finding critical points of Ginzburg--Landau type equations
- Energy minimization related to the nonlinear Schrödinger equation
- Numerical solution of the Gross--Pitaevskii equation for Bose--Einstein condensation
- Critical Points of the Ginzburg–Landau Functional on Multiply-Connected Domains
- Optimizing Schrödinger Functionals Using Sobolev Gradients: Applications to Quantum Mechanics and Nonlinear Optics
- Structure of a quantized vortex in boson systems
- Computing the Ground State Solution of Bose--Einstein Condensates by a Normalized Gradient Flow
- Sobolev gradients and differential equations
