13,981 research outputs found
Complex joint probabilities as expressions of determinism in quantum mechanics
The density operator of a quantum state can be represented as a complex joint
probability of any two observables whose eigenstates have non-zero mutual
overlap. Transformations to a new basis set are then expressed in terms of
complex conditional probabilities that describe the fundamental relation
between precise statements about the three different observables. Since such
transformations merely change the representation of the quantum state, these
conditional probabilities provide a state-independent definition of the
deterministic relation between the outcomes of different quantum measurements.
In this paper, it is shown how classical reality emerges as an approximation to
the fundamental laws of quantum determinism expressed by complex conditional
probabilities. The quantum mechanical origin of phase spaces and trajectories
is identified and implications for the interpretation of quantum measurements
are considered. It is argued that the transformation laws of quantum
determinism provide a fundamental description of the measurement dependence of
empirical reality.Comment: 12 pages, including 1 figure, updated introduction includes
references to the historical background of complex joint probabilities and to
related work by Lars M. Johanse
Nonlinear soil-structure interaction calculations simulating the SIMQUAKE experiment using STEALTH 2D
Transient, nonlinear soil-structure interaction simulations of an Electric Power Research Institute, SIMQUAKE experiment were performed using the large strain, time domain STEALTH 2D code and a cyclic, kinematically hardening cap soil model. Results from the STEALTH simulations were compared to identical simulations performed with the TRANAL code and indicate relatively good agreement between all the STEALTH and TRANAL calculations. The differences that are seen can probably be attributed to: (1) large (STEALTH) vs. small (TRANAL) strain formulation and/or (2) grid discretization differences
Statistical fluctuations for the fission process on its decent from saddle to scission
We reconsider the importance of statistical fluctuations for fission dynamics
beyond the saddle in the light of recent evaluations of transport coefficients
for average motion. The size of these fluctuations are estimated by means of
the Kramers-Ingold solution for the inverted oscillator, which allows for an
inclusion of quantum effects.Comment: 12 pages, Latex, 5 Postscript figures; submitted to PRC e-mail:
[email protected] www home page:
http://www.physik.tu-muenchen.de/tumphy/e/T36/hofmann.htm
A model for the very early Universe
A model with N species of massless fermions interacting via (microscopic)
gravitational torsion in de Sitter spacetime is investigated in the limit
N->infinity. The U_V(N)*U_A(N) flavor symmetry is broken dynamically
irrespective of the (positive) value of the induced four-fermion coupling. This
model is equivalent to a theory with free but massive fermions fluctuating
about the chiral condensate. When the fermions are integrated out in a way
demonstrated long ago by Candelas and Raine, the associated gap equation
together with the Friedmann equation predict that the Hubble parameter
vanishes. Introducing a matter sector (subject to a finite gauge symmetry) as a
source for subsequent cosmology, the neutral Goldstone field acquires mass by
the chiral anomaly, resulting in a Planck-scale axion.Comment: 14 pages, 2 figures; some references added; version to appear in JHE
Optimized phase switching using a single atom nonlinearity
We show that a nonlinear phase shift of pi can be obtained by using a single
two level atom in a one sided cavity with negligible losses. This result
implies that the use of a one sided cavity can significantly improve the pi/18
phase shift previously observed by Turchette et al. [Phys. Rev. Lett. 75, 4710
(1995)].Comment: 6 pages, 3 figures, added comments on derivation and assumption
Lattices of quasi-equational theories as congruence lattices of semilattices with operators, Part I
We show that for every quasivariety K of structures (where both functions and
relations are allowed) there is a semilattice S with operators such that the
lattice of quasi-equational theories of K (the dual of the lattice of
sub-quasivarieties of K) is isomorphic to Con(S,+,0,F). As a consequence, new
restrictions on the natural quasi-interior operator on lattices of
quasi-equational theories are found.Comment: Presented on International conference "Order, Algebra and Logics",
Vanderbilt University, 12-16 June, 2007 25 pages, 2 figure
Mechanical loss of a hydroxide catalysis bond between sapphire substrates and its effect on the sensitivity of future gravitational wave detectors
Hydroxide catalysis bonds are low mechanical loss joints which are used in the fused silica mirror suspensions of current room temperature interferometric gravitational wave detectors, one of the techniques which was essential to allow the recent detection of gravitational radiation by LIGO. More sensitive detectors may require cryogenic techniques with sapphire as a candidate mirror and suspension material, and thus hydroxide catalysis bonds are under consideration for jointing sapphire. This paper presents the first measurements of the mechanical loss of such a bond created between sapphire substrates and measured down to cryogenic temperatures. The mechanical loss is found to be 0.03±0.01 at room temperature, decreasing to (3±1)×10−4 at 20 K. The resulting thermal noise of the bonds on several possible mirror suspensions is presented
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