Bohmian Particle Trajectories in Relativistic Bosonic Quantum Field Theory

@article{Nikoli2004BohmianPT,
  title={Bohmian Particle Trajectories in Relativistic Bosonic Quantum Field Theory},
  author={Hrvoje Nikoli{\'c}},
  journal={Foundations of Physics Letters},
  year={2004},
  volume={17},
  pages={363-380}
}
  • H. Nikolić
  • Published 29 August 2002
  • Physics
  • Foundations of Physics Letters
We study the de Broglie–Bohm interpretation of bosonic relativistic quantum mechanics and argue that the negative densities and superluminal velocities that appear in this interpretation do not lead to inconsistencies. After that, we study particle trajectories in bosonic quantum field theory. A new continuously changing hidden variable - the effectivity of a particle (a number between 0 and 1) - is postulated. This variable leads to a causal description of processes of particle creation and… 

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References

SHOWING 1-10 OF 50 REFERENCES
Wave-particle dualism and the interpretation of quantum mechanics
The realist interpretations of quantum theory, proposed by de Broglie and by Bohm, are re-examined and their differences, especially concerning many-particle systems and the relativistic regime, are
Trajectories and particle creation and annihilation in quantum field theory
We develop a theory based on Bohmian mechanics in which particle world lines can begin and end. Such a theory provides a realist description of creation and annihilation events and thus a further
Fermionic and bosonic pair creation in an external electric field at finite temperature using the functional Schrödinger representation.
  • Hallin, Liljenberg
  • Physics, Medicine
    Physical review. D, Particles and fields
  • 1995
TLDR
The time evolution of the density matrix both for fermions and bosons in the presence of a homogeneous but time dependent external electric field is solved and the probability of finding a given number of particles in the ensemble is calculated.
The de Broglie-Bohm theory of motion and quantum field theory
Abstract De Broglie and Bohm successfully showed how the statistical phenomena of nonrelativistic quantum mechanics could be understood as the outcome of individually well defined processes in which
Functional representation for fermionic quantum fields.
  • Floreanini, Jackiw
  • Physics, Medicine
    Physical review. D, Particles and fields
  • 1988
TLDR
A functional representation for fermionic quantum fields is developed in analogy to familiar results for bosonic field theory, and a projective representation for the two-dimensional conformal group is found, which is compared to the corresponding representation in terms of bosonic fields.
Relativistic Quantum Mechanics
In this text the authors develop a propagator theory of Dirac particles, photons, and Klein-Gordon mesons and per- form a series of calculations designed to illustrate various useful techniques and
Objective interpretations of quantum mechanics and the possibility of a deterministic limit
Examines a suggestion by Bell (1984) that a deterministic model might be furnished by the continuum limit of an objective stochastic model which he has proposed for quantum field theory on a lattice.
Quantum Fields in Curved Space
This book presents a comprehensive review of the subject of gravitational effects in quantum field theory. Although the treatment is general, special emphasis is given to the Hawking black hole
Causal interpretation of Fermi fields
Abstract The causal interpretation of quantum mechanics is extended to include Fermi fields. The quantized field is a collection of spherical spin- 1 2 rotators whose orientations may be described by
Time-like flows of energy momentum and particle trajectories for the Klein-Gordon equation
The Klein-Gordon equation is interpreted in the de Broglie-Bohm manner as a single-particle relativistic quantum mechanical equation that defines unique time-like particle trajectories. The particle
...
1
2
3
4
5
...