Peter Holland

Green Templeton College, University of Oxford






The Quantum Theory of Motion: An Account of the de Broglie-Bohm Causal Interpretation of Quantum Mechanics

Cambridge University Press, 1993, reprinted 1995, 1997, 2000, 2004, Chinese edition 2000, digital edition 2004, e-book 2010. 618 pp. ISBN 0 52148543 6. UK US




Unification of the wave and guidance equations for spin ½

Quantum Stud.: Math. Found. 7 (2020)

arXiv:2003.06058 [quant-ph]


Trajectory construction of Dirac evolution

Proc. R. Soc. A 476, 20190682 (2020)

arXiv:1910.05829 [quant-ph]


Uniting the wave and the particle in quantum mechanics

Quantum Stud.: Math. Found. 7, 155 (2020) [published online 5 October 2019]

arXiv:1903.04087 [quant-ph]


Trajectory-state theory of the Klein-Gordon field

Eur. Phys. J. Plus 134, 434 (2019)

arXiv:1905.13057 [quant-ph]


Three-dimensional representation of the many-body quantum state

J. Mol. Model. 24, 269 (2018)

arXiv:1808.07406 [quant-ph]


The quantum state as spatial displacement

in Quantum Structural Studies: Classical Emergence from the Quantum Level, eds. R.E. Kastner, J. Jeknic-Dugic and G. Jaroszkiewicz (World Scientific, 2017)

arXiv:1601.03993 [quant-ph]


Quantum potential energy as concealed motion

Found. Phys. 45, 134 (2015)

arXiv:1410.0165 [quant-ph]


The roads not taken: empty waves, wavefunction collapse and protective measurement in quantum theory

in Protective Measurement and Quantum Reality, ed. S. Gao (Cambridge University Press, 2015)

arXiv:1409.5817 [quant-ph]


On systems having Poincaré and Galileo symmetry

Ann. Phys. (NY) 351, 935 (2014)

arXiv:1409.5628 [physics.class-ph]


Dynamics-dependent symmetries in Newtonian mechanics

Phys. Scr. 89, 015101 (2014)

arXiv:1409.5619 [physics.class-ph]


Symmetries and conservation laws in the Lagrangian picture of quantum hydrodynamics

in Concepts and Methods in Modern Theoretical Chemistry: Statistical Mechanics, eds. S.K. Ghosh and P.K. Chattaraj (Taylor & Francis/CRC, Boca Raton, 2013)

arXiv:1211.0983 [quant-ph]


Hydrodynamics, particle relabelling and relativity

Int. J. Theor. Phys., 51, 667 (2012)

arXiv:1105.3764 [physics.flu-dyn]


A quantum of history

Contemp. Phys. 52, 355 (2011)

arXiv:1409.5956 [physics.hist-ph]


Quantum field dynamics from trajectories

in Quantum Trajectories, ed. P. Chattaraj (Taylor & Francis/CRC, Boca Raton, 2010)



Spin-like current from phase space distributions

J. Phys. A: Math. Theor. 42, 135304 (2009)

arXiv:0901.0402 [quant-ph]


Schrödinger dynamics as a two-phase conserved flow: an alternative trajectory construction of quantum propagation

J. Phys. A: Math. Theor. 42, 075307 (2009)

arXiv:0807.4482v2 [quant-ph]


Quantum back-reaction and the particle law of motion

J. Phys. A: Math. Gen. 39, 559 (2006)



Hidden variables as computational tools: the construction of a relativistic spinor field

Found. Phys. 36, 369 (2006)



Hydrodynamic construction of the electromagnetic field

Proc. R. Soc. A 461, 3659 (2005)



Computing the wavefunction from trajectories: particle and wave pictures in quantum mechanics and their relation

Ann. Phys. (NY) 315, 505 (2005)



What’s wrong with Einstein’s 1927 hidden-variable interpretation of quantum mechanics?

Found. Phys. 35, 177 (2005)


Includes a description of a ‘supernonlocal’ theory, i.e., a theory ‘more nonlocal’ than quantum theory yet compatible with quantal predictions (a fuller account is in Found. Phys. 28, 881 (1998))


Implications of Lorentz covariance for the guidance formula in two-slit quantum interference

(with C. Philippidis)

Phys. Rev. A 67, 062105 (2003)


Contains plots of the trajectories in the two-slit experiment for electrons correcting previous plots that neglected spin effects


Uniqueness of conserved currents in quantum mechanics

Ann. Phys. (Leipzig) 12, 446 (2003)



Hamiltonian theory of wave and particle in quantum mechanics I: Liouville’s theorem and the interpretation of the de Broglie-Bohm theory

Nuovo Cimento B 116, 1043 (2001)


Hamiltonian theory of wave and particle in quantum mechanics II: Hamilton-Jacobi theory and particle back-reaction

Nuovo Cimento B 116, 1143 (2001)


Uniqueness of paths in quantum mechanics

Phys. Rev. A 60, 4326 (1999)


New trajectory interpretation of quantum mechanics

Found. Phys. 28, 881 (1998)


Is quantum mechanics universal?

in Bohmian Mechanics and Quantum Theory: An Appraisal, eds. J.T. Cushing er al. (Kluwer, Dordrecht, 1996)


Testing wavefunction collapse (unpublished 1995 paper) pdf

Suggests using protective measurements to discriminate between epistemological and ontological interpretations of the wavefunction




Gauge Theories of Gravitation: A Reader with Commentaries

Contemp. Phys. 54, 269 (2013)


A Trajectory Description of Quantum Processes. I. Fundamentals: A Bohmian


Contemp. Phys. 54, 66 (2013)


A History of Optics from Greek Antiquity to the Nineteenth Century

Contemp. Phys. 53, 455 (2012)


The Stability of Matter in Quantum Mechanics

Contemp. Phys. 52, 383 (2011)



in Quantum Trajectories, ed. P. Chattaraj (Taylor & Francis/CRC, Boca Raton, 2010)