A Bohmian trajectory analysis of singular wave functions

DOI10.1016/j.physleta.2024.129428zbMATH Open1548.81096MaRDI QIDQ6547276

Andrea Aiello, Luis L. Sánchez-Soto, Ángel S. Sanz

Publication date: 30 May 2024

Published in: Physics Letters. A (Search for Journal in Brave)

zbMATH Keywords

singularitiesself-focusingBohmian mechanicsquantum flow

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40)

Cites Work

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• The nonlinear Schrödinger equation. Singular solutions and optical collapse
• Dispersive blow-up. II: Schrödinger-type equations, optical and oceanic rogue waves
• A trajectory description of quantum processes. II: Applications. A Bohmian perspective
• Estimates for translation invariant operators in \(L^p\) spaces
• Theory of Bessel potentials. I
• The Gibbs- Wilbraham phenomenon: An episode in Fourier analysis
• The nonlinear Schrödinger equation. Self-focusing and wave collapse
• Dispersive estimates, blow-up and failure of Strichartz estimates for the Schrödinger equation with slowly decaying initial data
• A trajectory-based understanding of quantum interference
• Analogies between optical and quantum mechanical angular momentum
• Dispersive estimates for nonlinear Schrödinger equations with external potentials
• A Suggested Interpretation of the Quantum Theory in Terms of "Hidden" Variables. I

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