QUANTUM PHENOMENA BETWEEN UNIFORMLY MOVING PLATES

1995 ◽  
Vol 10 (07) ◽  
pp. 619-625 ◽  
Author(s):  
R. JÁUREGUI ◽  
C. VILLARREAL ◽  
S. HACYAN
Keyword(s):  
Relative Velocity ◽  
Moving Boundary ◽  
Dimensional Space ◽  
Casimir Energy ◽  
Squeezed States ◽  
Parallel Plates ◽  
Dimensional Space Time ◽  
Scalar Massless Field ◽  
Quantum Phenomena ◽  
Theory Of Fields

The quantum theory of fields with moving boundary conditions in four-dimensional space-time is studied. We consider the particular case of a scalar massless field between two infinite parallel plates moving with constant relative velocity. It is shown that this motion produces squeezed states, and creates 'particles' at the expense of the Casimir energy.

scholarly journals CASIMIR ENERGY OF MASSLESS FERMIONS IN THE SLAB-BAG

1999 ◽  
Vol 14 (34) ◽  
pp. 2353-2361 ◽  
Author(s):  
R. D. M. DE PAOLA ◽  
R. B. RODRIGUES ◽  
N. F. SVAITER
Keyword(s):  
Dimensional Space ◽  
Zero Point ◽  
Casimir Energy ◽  
Space Time ◽  
Fermion Field ◽  
Parallel Plates ◽  
Zero Point Energy ◽  
Massless Fermion ◽  
Point Energy ◽  
Dimensional Space Time

The zero-point energy of a massless fermion field in the interior of two parallel plates in a D-dimensional space–time at zero temperature is calculated. In order to regularize the model, a mix between dimensional and zeta-function regularization procedure is used and it is found that the regularized zero-point energy density is finite for any number of space–time dimensions. We present a general expression for the Casimir energy of the fermionic field in such a situation.

BOSONIC STRING WITH TOPOLOGICAL TERM

1991 ◽  
Vol 06 (16) ◽  
pp. 1453-1457 ◽  
Author(s):  
R. P. ZAIKOV
Keyword(s):  
Bosonic Strings ◽  
Dimensional Space ◽  
Virasoro Algebra ◽  
Casimir Energy ◽  
Space Time ◽  
Bosonic String ◽  
Time Symmetry ◽  
Dimensional Space Time ◽  
Topological Term

It is shown that in D = 3 space-time dimensions there exist a topological term for the bosonic strings. The corresponding constraints satisfy the same Virasoro algebra as the ordinary bosonic strings. These results are generalized for an arbitrary dimensional space-time if we have SO (1, 2) ⊗ O (D − 3) or SO (3) ⊗ O (1, D − 4) symmetry instead of SO (1, D − 1) space-time symmetry. A gauge-dependent correction to the Casimir energy corresponding to this topological term is derived.

Interactions, Dynamics and Self-assembly of Magnetic Holes

2006 ◽  
Vol 947 ◽  
Author(s):  
Kai de lang Kristiansen ◽  
Eldrid Svåsand ◽  
Geir Helgesen ◽  
Arne T. Skjeltorp
Keyword(s):  
Self Assembly ◽  
Dimensional Space ◽  
Dynamical Behavior ◽  
Three Dimensional ◽  
Magnetic Interactions ◽  
Parallel Plates ◽  
Competing Interactions ◽  
Dynamical Behaviors ◽  
Dimensional Space Time ◽  
Three Dimensional Space

ABSTRACTNonmagnetic microspheres dispersed in a ferrofluid are denoted magnetic holes. When the spheres are confined to a monolayer between two plane, parallel plates and subjected to AC magnetic fields, they show a variety of dynamical behaviors and assemblages. The magnetic interactions between the particles and their dynamical behavior are influenced by the boundaries and the degree of confinement. We have derived analytical results for the pair-wise competing interactions, and these compare favorably with experimental results.It is also possible to characterize the self-assembly and dynamics of the spheres by the theory of braids. It involves classifying different ways of tracing curves in space. The essentially two-dimensional motion of a sphere can be represented as a curve in a three-dimensional space-time diagram, and so several spheres in motion produce a set of braided curves. The dynamical modes can then be described in terms of braid-words. We also present a few other examples on how this system can be used to study dynamical processes.

scholarly journals Some developments of the Casimir effect in p-cavity of (D + 1)-dimensional space–time

2014 ◽  
Vol 29 (30) ◽  
pp. 1430068 ◽  
Author(s):  
Xiang-Hua Zhai ◽  
Rui-Hui Lin ◽  
Chao-Jun Feng ◽  
Xin-Zhou Li
Keyword(s):  
Casimir Force ◽  
Casimir Effect ◽  
Dimensional Space ◽  
Casimir Energy ◽  
Space Time ◽  
Regularization Methods ◽  
Temperature Dependent ◽  
New Developments ◽  
Dimensional Space Time ◽  
General Derivation

The Casimir effect for rectangular boxes has been studied for several decades. But there are still some unclear points. Recently, there are new developments related to this topic, including the demonstration of the equivalence of the regularization methods and the clarification of the ambiguity in the regularization of the temperature-dependent free energy. Also, the interesting quantum spring was raised stemming from the topological Casimir effect of the helix boundary conditions. We review these developments together with the general derivation of the Casimir energy of the p-dimensional cavity in (D + 1)-dimensional space–time, paying special attention to the sign of the Casimir force in a cavity with unequal edges. In addition, we also review the Casimir piston, which is a configuration related to rectangular cavity.

Topology knots and hierarchy problem

2019 ◽  
Author(s):  
Vitaly Kuyukov
Keyword(s):  
Quantum Theory ◽  
String Theory ◽  
Quantum Gravity ◽  
Dimensional Space ◽  
Space Time ◽  
Elementary Particles ◽  
Hierarchy Problem ◽  
Topological Quantum ◽  
Dimensional Space Time ◽  
New Formula

Many approaches to quantum gravity consider the revision of the space-time geometry and the structure of elementary particles. One of the main candidates is string theory. It is possible that this theory will be able to describe the problem of hierarchy, provided that there is an appropriate Calabi-Yau geometry. In this paper we will proceed from the traditional view on the structure of elementary particles in the usual four-dimensional space-time. The only condition is that quarks and leptons should have a common emerging structure. When a new formula for the mass of the hierarchy is obtained, this structure arises from topological quantum theory and a suitable choice of dimensional units.

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