52,957 research outputs found
Reply to Comment by Galapon on 'Almost-periodic time observables for bound quantum systems'
In a recent paper [1] (also at http://lanl.arxiv.org/abs/0803.3721), I made
several critical remarks on a 'Hermitian time operator' proposed by Galapon [2]
(also at http://lanl.arxiv.org/abs/quant-ph/0111061).
Galapon has correctly pointed out that remarks pertaining to 'denseness' of
the commutator domain are wrong [3]. However, the other remarks still apply,
and it is further noted that a given quantum system can be a member of this
domain only at a set of times of total measure zero.Comment: 3 page
A Bohmian approach to quantum fractals
A quantum fractal is a wavefunction with a real and an imaginary part
continuous everywhere, but differentiable nowhere. This lack of
differentiability has been used as an argument to deny the general validity of
Bohmian mechanics (and other trajectory--based approaches) in providing a
complete interpretation of quantum mechanics. Here, this assertion is overcome
by means of a formal extension of Bohmian mechanics based on a limiting
approach. Within this novel formulation, the particle dynamics is always
satisfactorily described by a well defined equation of motion. In particular,
in the case of guidance under quantum fractals, the corresponding trajectories
will also be fractal.Comment: 19 pages, 3 figures (revised version
Relativistic Comparison Theorems
Comparison theorems are established for the Dirac and Klein--Gordon
equations. We suppose that V^{(1)}(r) and V^{(2)}(r) are two real attractive
central potentials in d dimensions that support discrete Dirac eigenvalues
E^{(1)}_{k_d\nu} and E^{(2)}_{k_d\nu}. We prove that if V^{(1)}(r) \leq
V^{(2)}(r), then each of the corresponding discrete eigenvalue pairs is ordered
E^{(1)}_{k_d\nu} \leq E^{(2)}_{k_d\nu}. This result generalizes an earlier more
restrictive theorem that required the wave functions to be node free. For the
the Klein--Gordon equation, similar reasoning also leads to a comparison
theorem provided in this case that the potentials are negative and the
eigenvalues are positive.Comment: 6 page
Mission analysis of solar powered aircraft
The effect of a real mission scenario on a solar powered airplane configuration which had been developed in previous work were assessed. The mission used was surveillance of crop conditions over a route from Phoenix to Tucson to Tombstone, Arizona. Appendices are attached which address the applicability of existing platforms and payloads to do this mission
Evaluation of FIDC system
A fuel vapor injector/igniter system was evaluated for its effect on automobile engine performance, fuel economy, and exhaust emissions. Improved fuel economy and emissions, found during the single cylinder tests were not realized with a multicylinder engine. Multicylinder engine tests were conducted to compare the system with both a stock and modified stock configuration. A comparison of cylinder-to-cylinder equivalence ratio distribution was also obtained from the multicylinder engine tests. The multicylinder engine was installed in a vehicle was tested on a chassis dynamometer to compare the system with stock and modified stock configurations. The fuel vapor injector/igniter system (FIDC) configuration demonstrated approximately five percent improved fuel economy over the stock configuration, but the modified stock configuration demonstrated approximately twelve percent improved fuel economy. The hydrocarbon emissions were approximately two-hundred-thirty percent higher with the FIDC system than with the stock configuration. Both the FIDC system and the modified stock configuration adversely affected driveability. The FIDC system demonstrated a modest fuel savings, but with the penalty of increased emissions, and loss of driveability
Cost-effective aperture arrays for SKA Phase 1: single or dual-band?
An important design decision for the first phase of the Square Kilometre
Array is whether the low frequency component (SKA1-low) should be implemented
as a single or dual-band aperture array; that is, using one or two antenna
element designs to observe the 70-450 MHz frequency band. This memo uses an
elementary parametric analysis to make a quantitative, first-order cost
comparison of representative implementations of a single and dual-band system,
chosen for comparable performance characteristics. A direct comparison of the
SKA1-low station costs reveals that those costs are similar, although the
uncertainties are high. The cost impact on the broader telescope system varies:
the deployment and site preparation costs are higher for the dual-band array,
but the digital signal processing costs are higher for the single-band array.
This parametric analysis also shows that a first stage of analogue tile
beamforming, as opposed to only station-level, all-digital beamforming, has the
potential to significantly reduce the cost of the SKA1-low stations. However,
tile beamforming can limit flexibility and performance, principally in terms of
reducing accessible field of view. We examine the cost impacts in the context
of scientific performance, for which the spacing and intra-station layout of
the antenna elements are important derived parameters. We discuss the
implications of the many possible intra-station signal transport and processing
architectures and consider areas where future work could improve the accuracy
of SKA1-low costing.Comment: 64 pages, 23 figures, submitted to the SKA Memo serie
Synthesis of hover autopilots for rotary-wing VTOL aircraft
The practical situation is considered where imperfect information on only a few rotor and fuselage state variables is available. Filters are designed to estimate all the state variables from noisy measurements of fuselage pitch/roll angles and from noisy measurements of both fuselage and rotor pitch/roll angles. The mean square response of the vehicle to a very gusty, random wind is computed using various filter/controllers and is found to be quite satisfactory although, of course, not so good as when one has perfect information (idealized case). The second part of the report considers precision hover over a point on the ground. A vehicle model without rotor dynamics is used and feedback signals in position and integral of position error are added. The mean square response of the vehicle to a very gusty, random wind is computed, assuming perfect information feedback, and is found to be excellent. The integral error feedback gives zero position error for a steady wind, and smaller position error for a random wind
Computer program to generate attitude error equations for a gimballed platform
Computer program for solving attitude error equations related to gimballed platform is described. Program generates matrix elements of attitude error equations when initial matrices and trigonometric identities have been defined. Program is written for IBM 360 computer
Bosonic field equations from an exact uncertainty principle
A Hamiltonian formalism is used to describe ensembles of fields in terms of
two canonically conjugate functionals (one being the field probability
density). The postulate that a classical ensemble is subject to nonclassical
fluctuations of the field momentum density, of a strength determined solely by
the field uncertainty, is shown to lead to a unique modification of the
ensemble Hamiltonian. The modified equations of motion are equivalent to the
quantum equations for a bosonic field, and thus this exact uncertainty
principle provides a new approach to deriving and interpreting the properties
of quantum ensembles. The examples of electromagnetic and gravitational fields
are discussed. In the latter case the exact uncertainty approach specifies a
unique operator ordering for the Wheeler-DeWitt and Ashtekar-Wheeler-DeWitt
equations.Comment: 24 pages, extended version of part (B) of hep-th/0206235, to appear
in J. Phys.
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