On the variational principle for the non-linear Schrödinger equation
DOI10.1007/s10910-019-01082-5zbMath1439.35443OpenAlexW2990199088MaRDI QIDQ2299058
Zs. É. Mihálka, Á. Margócsy, Péter R. Surján, Ágnes Szabados
Publication date: 20 February 2020
Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10910-019-01082-5
variational principlenonlinear Schrödinger equationgeneralized Hellmann-Feynman theoremsecond centralized moment
Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Variational methods applied to PDEs (35A15) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40)
Cites Work
- Unnamed Item
- A variational principle for coupled nonlinear Schrödinger equations with variable coefficients and high nonlinearity
- Iterative solution of Bloch-type equations: stability conditions and chaotic behavior
- Variational principles for coupled nonlinear Schrödinger equations
- Formal analytical solutions for the Gross-Pitaevskii equation
- Variational principles for some nonlinear partial differential equations with variable coefficients
- Some variational principles for a nonlinear eigenvalue problem
- A class of nonlinear eigenvalue problems
- A unified theory of nuclear reactions. II
- Multiconstrained Variational Problems of Nonlinear Eigenvalue Type: New Formulations and Algorithms
- Studies in Perturbation Theory. IV. Solution of Eigenvalue Problem by Projection Operator Formalism
- Variational Principle for Eigenvalue Problems of Hamiltonian Systems
- Regularizing Nonlinear Schrödinger Equations Through Partial Off-axis Variations
- Variational Principles for Eigenvalues of Nonlinear Eigenproblems
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