122762219
Investigation of effects associated with variation of electric charge on a fused silica test mass
Variation of electric charge on dielectric mirrors can produce excess noise in interferometric gravitational wave detectors. Charge located on the end face of a fused silica cylinder suspended as a torsion pendulum was measured using a multistrip capacitive probe. Two types of behaviour of this system were found in long-term measurements of the free decay pendulum amplitude and voltage from the probe. The first behaviour was characterized by the slow decrease of the pendulum amplitude corresponding to Q = (6–8) × 107 and the slow change of the averaged voltage from the probe corresponding to the charging of the test mass with a rate of the order of 104e/cm2 day. The second behaviour was characterized by the presence of jumps in the amplitude and the probe voltage in which these values changed several orders faster than in the first case. We did not find coincidences between these jumps and signals from plastic scintillators installed around the vacuum chamber to detect cosmic ray showers.
136742334
MEASUREMENTS OF ELECTRICAL CHARGE DISTRIBUTION VARIATIONS ON FUSED SILICA
59131649
Variation of electric charge on prototype of fused silica test mass of gravitational wave antenna
Abstract Results of long-term measurements of electric charge located on the fused silica test mass suspended by fused silica fibers are presented. The charge was measured by means of the capacitive probe placed in the vicinity of the oscillating test mass end face. The continuous rise of electric charge was observed after the vacuum chamber evacuation when the initial charge density was of order of 10 −14  C/cm 2 . Rare large jumps of electric charge and synchronous jumps of the test mass oscillation amplitude were observed as well. The jumps of the amplitude may be interpreted as a result of the additional damping. Possible cause of the electric charge variations associated with the cosmic ray effect is discussed. The charge variations may produce the excess noise in interferometric gravitational wave detectors.
119040808
Quantum mechanics and the cosmological constant
It is shown that in the model [3,4] of quantum mechanics besides probability amplitudes, the Planck constant and the Fock space, the cosmological constant also appear in the natural way. The Poisson brackets are generalized for the case of kinetics.
117327672
Equations for effective Lagrangians
9047813
A model with generalized Y-junction
AbstractThe Klein-Fock-Gordon equation is studied on the generalized Y-junction of Nstrings with a massive center. The corresponding formulas for wave scattering andnormal modes are obtained.Key words diﬀerential equations on networks, transmission rules, Klein-Fock-Gordon equation. 1 Introduction. Dynamical systems on manifolds are standard objects studied both in classical and quan-tum mechanics. Here we continue to study mechanics not on manifolds. The simplestexample of such a system gives a 3-ray star studied in [1] (see also [2] and [3]). This spaceis not a manifold. The problem became of special importance a couple decades ago afterthe discovery of D-branes. Problems of this type arise in diﬀerent branches of Physics.String theory. Eﬀectively strings are ordered sets of interacting harmonic oscillators andend of a string can belong to another string (D1-brane). Problem: describe the evolutionof excitations of the system.Nanoelectronics and theory of polymers. Nanoelectronics and theory of polymers are im-portant for modern technologies.The importance of this problem for strings is self evident. Gradually it becomes clearthat at the Planck scale matter manifests itself in form of strings, and a 3D-network ofsuperstrings can model the physical space [4], clearly leading to uniﬁcation of all interac-tions, including gravitation.There are two types of problems (both in classical and quantum mechanics): (i) deter-mination of normal coordinates, (ii) description of scattering (i.e. description of evolution1