256 research outputs found
Quantum field theory as eigenvalue problem
A mathematically well-defined, manifestly covariant theory of classical and
quantum field is given, based on Euclidean Poisson algebras and a
generalization of the Ehrenfest equation, which implies the stationary action
principle. The theory opens a constructive spectral approach to finding
physical states both in relativistic quantum field theories and for flexible
phenomenological few-particle approximations.
In particular, we obtain a Lorentz-covariant phenomenological multiparticle
quantum dynamics for electromagnetic and gravitational interaction which
provides a representation of the Poincare group without negative energy states.
The dynamics reduces in the nonrelativistic limit to the traditional
Hamiltonian multiparticle description with standard Newton and Coulomb forces.
The key that allows us to overcome the traditional problems in canonical
quantization is the fact that we use the algebra of linear operators on a space
of wave functions slightly bigger than traditional Fock spaces.Comment: 32 page
On a realistic interpretation of quantum mechanics
The best mathematical arguments against a realistic interpretation of quantum
mechanics - that gives definite but partially unknown values to all observables
- are analysed and shown to be based on reasoning that is not compelling.
This opens the door for an interpretation that, while respecting the
indeterministic nature of quantum mechanics, allows to speak of definite values
for all observables at any time that are, however, only partially measurable.
The analysis also suggests new ways to test the foundations of quantum
theory.Comment: 21 page
A simple hidden variable experiment
An experiment is described which proves, using single photons only, that the
standard hidden variables assumptions (commonly used to derive Bell
inequalities) are inconsistent with quantum mechanics. The analysis is very
simple and transparent. In particular, it demonstrates that a classical wave
model for quantum mechanics is not ruled out by experiments demonstrating the
violation of the traditional hidden variable assumptions.Comment: 10 pages, 3 figures. Compared to previous versions, an extended
discussion is given and many references are adde
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