The role of geometric and dynamical phases in the Dirac-Bohm picture
type: Item
instance of: scholarly article
title: The role of geometric and dynamical phases in the Dirac-Bohm picture
zbMATH Open document ID: 1487.81109
author: Basil Hiley
author: Glen Dennis
author: Maurice de Gosson
published in: Annals of Physics
publication date: 2022-03-25T00:00:00Z
Mathematics Subject Classification ID: 81R30
Mathematics Subject Classification ID: 15A66
Mathematics Subject Classification ID: 70S15
Mathematics Subject Classification ID: 81Q65
Mathematics Subject Classification ID: 53Z05
zbMATH DE Number: 7498380
zbMATH Keywords: Dirac-Bohm picture
zbMATH Keywords: gauge transformations
zbMATH Keywords: Clifford algebra
zbMATH Keywords: Gromov's non-squeezing theorem
MaRDI profile type: Publication
full work available at URL: j.aop.2022.168759
OpenAlex ID: W4206898318
cites work: A Suggested Interpretation of the Quantum Theory in Terms of "Hidden" Variables. I
cites work: Q5785884
cites work: Q5774712
cites work: Pseudo holomorphic curves in symplectic manifolds
cites work: Deformation quantization in the teaching of quantum mechanics
cites work: Q5847989
cites work: The principles of Newtonian and quantum mechanics. The need for Planck's constant, \(h\)
cites work: Q5848838
cites work: Q5824558
cites work: Q5848839
cites work: Comments on an Article of Takabayasi conserning the Formulation of Quantum Mechanics with Classical Pictures
cites work: Clifford algebras and the Dirac-Bohm quantum Hamilton-Jacobi equation
cites work: Q3994406
cites work: Q3324593
cites work: Die Eindeutigkeit der Schrödingerschen Operatoren
cites work: Space-Time Approach to Non-Relativistic Quantum Mechanics
cites work: Q3848721
cites work: The Statistical Interpretation of Quantum Mechanics
cites work: Q5672243
cites work: Q3696183
cites work: Variational principles in continuum mechanics
cites work: Q5801889
cites work: Q4321784
cites work: A non-linear generalization of the schrödinger and Dirac equations
cites work: Q5340540
cites work: Vortex Line Representation for the Hydrodynamic Type Equations
cites work: Q4857347
cites work: Hamiltonian description of the ideal fluid
cites work: The Quantum Theory of Motion
cites work: Quantised singularities in the electromagnetic field,
cites work: Significance of Electromagnetic Potentials in the Quantum Theory
cites work: Bohm's quantum potential as an internal energy
cites work: Understanding interference experiments with polarized light through photon trajectories
cites work: Fermi's ansatz and Bohm's quantum potential
cites work: What is a particle?
cites work: Q3253761
cites work: Q3263453
cites work: Fermions without spinors
DOI: 10.1016/J.AOP.2022.168759
Recommended article: GEOMETRIC PHASES IN THE QUANTISATION OF BOSONS AND FERMIONS
Recommended article: Geometric phase of a classical Aharonov-Bohm Hamiltonian
Recommended article: Geometric phases and the Bohr-Sommerfeld quantization of multicomponent wave fields
Recommended article: Geometric phase in Bohmian mechanics
Recommended article: Geometric phase of quantum wave function and singularities of Bohm dynamics in a one-dimensional system
Recommended article: On geometric interpretation of the Aharonov-Bohm effect
Recommended article: Geometric phases in classical and quantum mechanics
Recommended article: Aharonov - Bohm geometric phases for rotated rotators
Recommended article: On geometric phases and dynamical invariants
Recommended article: THE GEOMETRIC PHASE AND THE SCHWINGER TERM IN SOME MODELS
description: scientific article; zbMATH DE number 7498380