Dividing line between quantum and classical trajectories in a measurement problem: Bohmian time constant.
- PhysicsPhysical review letters
A generalized logarithmic nonlinear Schrödinger equation is proposed to describe the time evolution of a quantum dissipative system under continuous measurement, and a solution to this equation reveals a novel result: it displays a time constant that should represent the dividing line between the quantum and classical trajectories.
The Dirac Equation from a Bohmian Point of View
- Physics, Mathematics
In this paper we intend to extend some ideas of a recently proposed Lorentz-invariant Bohmian model, obeying Klein-Gordon equations, but considering particles with a spin different than zero. First…
Misleading Signposts Along the de Broglie-Bohm Road to Quantum Mechanics
Eighty years after de Broglie’s, and a little more than half a century after Bohm’s seminal papers, the de Broglie–Bohm theory (a.k.a. Bohmian mechanics), which is presumably the simplest theory…
On the probabilistic description of a multipartite correlation scenario with arbitrary numbers of settings and outcomes per site
We consistently formalize the probabilistic description of multipartite joint measurements performed on systems of any nature. This allows us (1) to specify in probabilistic terms the difference…
The de Broglie-Bohm pilot-wave interpretation of quantum theory
In this thesis we study the de Broglie-Bohm pilot-wave interpretation of quantum theory. We consider the domain of non-relativistic quantum theory, relativistic quantum theory and quantum field…
Quantum Logic, Probability, and Information: The Relation with the Bell Inequalities
We study the relation between the Bell inequalities—characteristic of noncontextual hidden variables theories of quantum mechanics—with quantum logic, quantum probability, and quantum information.…
Nonlocality, Lorentz invariance, and Bohmian quantum theory.
- MathematicsPhysical review. A, Atomic, molecular, and optical physics
A model invariant under a certain limit of Lorentz transformations, a limit retaining the characteristic feature of relativity, the nonexistence of absolute time, i.e., of simultaneity is presented.
On the global existence of Bohmian mechanics
We show that the particle motion in Bohmian mechanics, given by the solution of an ordinary differential equation, exists globally: For a large class of potentials the singularities of the velocity…
On Non-Linear Quantum Mechanics and the Measurement Problem IV. Experimental Tests
I discuss three proposed experiments that could in principle locate the boundary between the classical and quantum worlds, as well as distinguish the Hamiltonian theory presented in the first paper…
From the Measurement Problem to the Primitive Ontology Programme
The paper retraces the development from the measurement problem to the primitive ontology programme. It assesses the contribution of the GRW theory to this programme and discusses the pros and cons…