MINIMIZING THE GROSS-PITAEVSKII ENERGY FUNCTIONAL WITH THE SOBOLEV GRADIENT — ANALYTICAL AND NUMERICAL RESULTS

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

zbMATH Keywords

Sobolev gradientGross-Pitaevskii energy functional

Mathematics Subject Classification ID

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