Phase space generalization of the de Broglie-Bohm model

1997 ◽  
Vol 27 (6) ◽  
pp. 845-863 ◽  
Author(s):  
Roderick I. Sutherland
Keyword(s):  
Phase Space ◽  
Bohm Model ◽  
De Broglie Bohm

Geometric phase, quantum measurements, and the de Broglie–Bohm model

1997 ◽  
Vol 56 (2) ◽  
pp. 1638-1641 ◽  
Author(s):  
Erik Sjöqvist ◽  
Henrik Carlsen
Keyword(s):  
Geometric Phase ◽  
Quantum Measurements ◽  
Bohm Model ◽  
De Broglie Bohm

scholarly journals On geometro dynamics in atomic stationary states

2019 ◽  
Vol 65 (2) ◽  
pp. 148
Author(s):  
G. Gómez i Blanch ◽  
And M.J. Fullana i Alfonso
Keyword(s):  
Wave Function ◽  
Lorentzian Manifold ◽  
Momentum Tensor ◽  
Stationary States ◽  
Dynamic Approach ◽  
Metric Tensor ◽  
Lorentzian Metric ◽  
Non Local ◽  
Bohm Model ◽  
De Broglie Bohm

In a previous paper [G.Gomez Blanch and M.J.Fullana, 2017] we dened, in the frame of a geometro-dynamic approach, a metric corresponding to a lorentzian spacetime were the electron stationary trajectories in an hydrogenoid atom, derived from the de Broglie-Bohm model, are geodesics. In this paper we want to complete this purpose: we will determinate the remaining relevant geometrical elements of that approach and we will calculate the energetic density component of the energy-momentum tensor. We will discuss the meaning of the obtained results and their relationship with other geometro-dynamic approaches.Furthermore, we will derive a more general relationship between the lorentzian metric tensor and the wave function for general stationary states. The electron description by the wave function ψ in the Euclidean space and time is shown equivalent to the description by a metric tensor in an lorentzian manifold. In our approach, the particle acquires a determining role over thewave function, in a similar manner as the wave function determines the movement of the particle. This dialectic approach overcomes the de Broglie-Bohm model. And furthermore, a non local element (the quantum potential) is introduced in the model, that therefore goes beyond the relativistic locality.

A one-dimensional self-gravitating stellar gas

1966 ◽  
Vol 25 ◽  
pp. 46-48 ◽  
Author(s):  
M. Lecar
Keyword(s):  
Gravitational Field ◽  
Phase Space ◽  
Motion Picture ◽  
Space Distribution ◽  
Two Dimensional ◽  
One Dimensional ◽  
Phase Space Distribution ◽  
Dimensional Phase Space ◽  
The Mean

“Dynamical mixing”, i.e. relaxation of a stellar phase space distribution through interaction with the mean gravitational field, is numerically investigated for a one-dimensional self-gravitating stellar gas. Qualitative results are presented in the form of a motion picture of the flow of phase points (representing homogeneous slabs of stars) in two-dimensional phase space.

Phase space of mechanical systems with a gauge group

1991 ◽  
Vol 161 (2) ◽  
pp. 13-75 ◽  
Author(s):  
Lev V. Prokhorov ◽  
Sergei V. Shabanov
Keyword(s):  
Phase Space ◽  
Gauge Group ◽  
Mechanical Systems
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