On the global existence of Bohmian mechanics

DOI10.1007/BF02101660zbMath0845.34087arXivquant-ph/9503013OpenAlexW2050754809MaRDI QIDQ1907969

K. Berndl, Sheldon Goldstein, Giulio Peruzzi, Detlef Dürr, Nino Zanghì

Publication date: 6 March 1996

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/9503013

zbMATH Keywords

Schrödinger equationequation of D. Bohm's mechanicshydrodynamic interpretation of the probability density

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Applications of operator theory in the physical sciences (47N50) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

Related Items (25)

A subtlety of the Schrödinger picture dynamics ⋮ Towards a mathematical theory of the Madelung equations: Takabayasi’s quantization condition, quantum quasi-irrotationality, weak formulations, and the Wallstrom phenomenon ⋮ On the connection between the Wigner and the Bohm quantum formalism ⋮ Bohmian mechanics is not deterministic ⋮ Quantum states for primitive ontologists. A case study ⋮ Scattering into cones and flux across surfaces in quantum mechanics: A pathwise probabilistic approach ⋮ A microscopic derivation of the quantum mechanical formal scattering cross section ⋮ Bohmian trajectories for Hamiltonians with interior-boundary conditions ⋮ Can the ontology of Bohmian mechanics consists only in particles? The PBR theorem says no ⋮ On the motion of a single particle near a nodal line in the de Broglie-Bohm interpretation of quantum mechanics ⋮ Remarks on identical particles in de Broglie-Bohm theory. ⋮ Properties of the trajectories in Bohmian mechanics ⋮ A Lorentz-covariant interacting electron-photon system in one space dimension ⋮ On the uniqueness of quantum equilibrium in Bohmian mechanics ⋮ WKB Analysis of Bohmian Dynamics ⋮ On the quantum mechanical scattering statistics of many particles ⋮ On the classical limit of Bohmian mechanics for Hagedorn wave packets ⋮ On the dynamics of Bohmian measures ⋮ Differential entropy and dynamics of uncertainty ⋮ Bohmian measures and their classical limit ⋮ THE POINT PROCESSES OF THE GRW THEORY OF WAVE FUNCTION COLLAPSE ⋮ Bohmian mechanics at space-time singularities. I: Timelike singularities ⋮ BASICS OF QUANTUM MECHANICS, GEOMETRIZATION AND SOME APPLICATIONS TO QUANTUM INFORMATION ⋮ Simple proof for global existence of Bohmian trajectories ⋮ How the weak variance of momentum can turn out to be negative

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Conservative diffusions
• Schrödinger particle on a half line
• The existence of noncollision singularities in Newtonian systems
• Quantum equilibrium and the origin of absolute uncertainty
• A global existence theorem for the four body problem of Newtonian mechanics
• On compact solutions of operational-differential equations. I
• The existence of pseudocollisions in the plane
• Stable and Random Motions in Dynamical Systems
• K -Theory of Twisted Differential Operators
• Feynman Integrals and the Schrödinger Equation
• SMALL DENOMINATORS AND PROBLEMS OF STABILITY OF MOTION IN CLASSICAL AND CELESTIAL MECHANICS
• On the Space-Time Behavior of Schrödinger Wavefunctions
• Singular Potentials
• Fundamental Properties of Hamiltonian Operators of Schrodinger Type
• A Suggested Interpretation of the Quantum Theory in Terms of "Hidden" Variables. I

This page was built for publication: On the global existence of Bohmian mechanics