Pauli-forbidden region in the phase space of the inter-nucleus relative motion

1987 ◽  
pp. 395-397
Author(s):  
H. Horiuchi ◽  
K. Yabana
Keyword(s):  
Phase Space ◽  
Relative Motion ◽  
Forbidden Region

scholarly journals Kinematic variables in noncommutative phase space and parameters of noncommutativity

2017 ◽  
Vol 32 (31) ◽  
pp. 1750166 ◽  
Author(s):  
Kh. P. Gnatenko
Keyword(s):  
Phase Space ◽  
Kinetic Energy ◽  
Relative Motion ◽  
Equivalence Principle ◽  
Composite System ◽  
Center Of Mass ◽  
Weak Equivalence ◽  
Noncommutative Phase Space ◽  
Weak Equivalence Principle ◽  
Particle Composite

We consider a space with noncommutativity of coordinates and noncommutativity of momenta. It is shown that coordinates in noncommutative phase space depend on mass therefore they cannot be considered as kinematic variables. Also, noncommutative momenta are not proportional to a mass as it has to be. We find conditions on the parameters of noncommutativity on which these problems are solved. It is important that on the same conditions the properties of kinetic energy are preserved, the motion of the center-of-mass of composite system and relative motion are independent, the trajectory of a particle (composite system) is independent of its mass and composition therefore the weak equivalence principle is recovered in four-dimensional (2D configurational space and 2D momentum space) noncommutative phase space.

THE PHASE-SPACE VIEW OF INFLATION I: THE NON-MINIMALLY COUPLED SCALAR FIELD

1990 ◽  
Vol 05 (20) ◽  
pp. 3861-3886 ◽  
Author(s):  
LUCA AMENDOLA ◽  
MARCO LITTERIO ◽  
FRANCO OCCHIONERO
Keyword(s):  
Phase Space ◽  
Scalar Field ◽  
Cosmological Model ◽  
Analytical Form ◽  
Point Of View ◽  
Coupling Constant ◽  
Minimal Coupling ◽  
Vacuum States ◽  
Forbidden Region ◽  
Phase Space Portrait

The Phase Space portrait of a cosmological model with a scalar field coupled to curvature is discussed in detail, analytically and numerically, for any value of the coupling constant ξ and any power law (ϕ2n) potential. The results, particularly intuitive from the graphical point of view, generalize previous studies on the phase space with minimal coupling (ξ = 0) and quadratic or quartic potentials to the entire parameter space (ξ, n). We find global inflationary attractors, often in analytical form, with or without the correct Friedmannian limit. If the coupling constant is negative, escaping regions may occur, while, if it is positive, a forbidden region cuts out a large part of the phase space. Semiclassical instability of vacuum states and singularity-free trajectories are also discussed.

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.

The restoration of blurred electron micrographs

1986 ◽  
Vol 44 ◽  
pp. 180-181
Author(s):  
Bridget Carragher ◽  
David A. Bluemke ◽  
Michael J. Potel ◽  
Robert Josephs
Keyword(s):  
Cross Section ◽  
Electron Micrographs ◽  
Relative Motion ◽  
Finite Thickness ◽  
Image Plane ◽  
Helical Axis ◽  
Thin Sections ◽  
Structural Details

We have investigated the feasibility of restoring blurred electron micrographs. Two related problems have been considered; the restoration of images blurred as a result of relative motion between the specimen and the image plane, and the restoration of images which are rotationally blurred about an axis. Micrographs taken while the specimen is drifting result in images which are blurred in the direction of motion. An example of rotational blurring arises in micrographs of thin sections of helical particles viewed in cross section. The twist of the particle within the finite thickness of the section causes the image to appear rotationally blurred about the helical axis. As a result, structural details, particularly at large distances from the helical axis, will be obscured.

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