Spacetime superoscillations and the relativistic quantum potential

DOI10.1007/s10701-023-00680-3zbMath1528.81007OpenAlexW4366282200MaRDI QIDQ6170719

Yakov Bloch

Publication date: 13 July 2023

Published in: Foundations of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10701-023-00680-3

zbMATH Keywords

relativityquantum mechanicsquantum potentialBohmian mechanicsweak valuessuperoscillations

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Relativistic cosmology (83F05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) Approximation procedures, weak fields in general relativity and gravitational theory (83C25)

Cites Work

• Consistent histories and the interpretation of quantum mechanics
• On gravity's role in quantum state reduction
• Relational quantum mechanics
• Two-state vector formalism and quantum interference
• Superluminal speeds for relativistic random waves
• Unified dynamics for microscopic and macroscopic systems
• Escaping superoscillations
• Five momenta
• A Suggested Interpretation of the Quantum Theory in Terms of "Hidden" Variables. I
• Aesthetic Motivation in Quantum Physics: Past and Present
• Superoscillations and the quantum potential ^*
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