Consistency of the Shannon entropy in quantum experiments

The consistency of the Shannon entropy, when applied to outcomes of quantum experiments, is analysed. It is shown that the Shannon entropy is fully consistent and its properties are never violated in quantum settings, but attention must be paid to logical and experimental contexts. This last remark is shown to apply regardless of the quantum or classical nature of the experiments.Comment: 12 pages, LaTeX2e/REVTeX4. V5: slightly different than the published versio

The Dipole Moment of Styrene

The dipole moment of styrene, calculated from eighteen solutions ranging in weight fraction from 0 - 100%, was found to be 0.181 D. The method and results of the measurement were compared to the method and results of Petro and Smyth for the same compound. It was concluded that the atomic polarization in styrene in small, and thus is taken into account by the measurement of the molar refraction at the sodium D line. It was further proposed that the relatively large dipole moments of trans-p, βdinitrostyrene and trans-p, βdicyano-styrene may be due, at least in part, to abnormally large atomic polarizations

Mechanical similarity as a generalization of scale symmetry

In this paper we study the symmetry known as mechanical similarity (LMS) and present for any monomial potential. We analyze it in the framework of the Koopman-von Neumann formulation of classical mechanics and prove that in this framework the LMS can be given a canonical implementation. We also show that the LMS is a generalization of the scale symmetry which is present only for the inverse square potential. Finally we study the main obstructions which one encounters in implementing the LMS at the quantum mechanical level.Comment: 9 pages, Latex, a new section adde

Evolution of Liouville density of a chaotic system

An area-preserving map of the unit sphere, consisting of alternating twists and turns, is mostly chaotic. A Liouville density on that sphere is specified by means of its expansion into spherical harmonics. That expansion initially necessitates only a finite number of basis functions. As the dynamical mapping proceeds, it is found that the number of non-negligible coefficients increases exponentially with the number of steps. This is to be contrasted with the behavior of a Schr\"odinger wave function which requires, for the analogous quantum system, a basis of fixed size.Comment: LaTeX 4 pages (27 kB) followed by four short PostScript files (2 kB + 2 kB + 1 kB + 4 kB

No adverse physiological responses to infrared whole body hyperthermia in patients with rheumatoid arthritis and ankylosing spondylitis compared to healthy subjects

PURPOSE: Since about ten years a new modality for whole body hyperthermia, a compact and userfriendlyinfrared (IR) 'sauna' has become available. Patients with musculoskeletal disorders report positive effects.RELEVANCE: Until now hardly any research was done in this field. Therefore in this study the short-termphysiological and clinical effects in healthy subjects and patients with Rheumatoid Arthritis (RA) andAnkylosing Spondylitis (AS) were investigated. SUBJECTS: 17 RA patients (3 male, 14 female), 19 AS patients (12 male, 7 female) and 21 healthy subjects (11 male, 10 female) with a mean age (sd) of 47 (13), 45 (10) and 45 (7) years respectively were included in the study.METHODS AND MATERIALS: Patients with RA or AS and healthy subjects were treated with whole-body hyperthermia by means of a 30 minutes stay in a IR sauna cabin at an adjusted temperature of 55°C. Before and directly after the sauna treatment in both RA and AS patient groups pain and stiffness and were measured on a 10 centimetres Visual Analogue Scale. Besides that in all groups body weight was measured before and after treatment. Additionally during the treatment heart rate, systolic and diastolic blood pressure, skin surface and core temperature were continuously monitored. Also general wellbeing during and after treatment was investigated. RESULTS: Pain and stiffness improved significantly duringtreatment; mean between 40% and 60%. The mean weight loss during treatment due to transpiration was significant (p<0.001) in all groups, but it was significantly higher (p<0.001) in healthy subjects (-0.5 kg) than in patients (both RA and AS -0.3 kg). During treatment mean heart rate, skin and core temperature increased significantly p<,0.001) in all groups, while blood pressures showed small but significant declines. No significant differences between groups were observed. On average all subjects felt comfortable during and especially after treatment. CONCLUSION: Infra red whole body hyperthermia has statistically significant positive direct effects upon pain and stiffness in RA as well as in AS patients. Looking at the physiological effects, RA and AS patients do not respond differently from age and gender matched healthy controls

Excitation of Large Transverse Beam Oscillations without Emittance Blow-up using the AC-Dipole Principle

The so-called "AC-Dipole" principle allows the excitation of transverse oscillations to large (several sigma) excursions without emittance blow-up. The idea was originally proposed and tested at BNL for resonance crossing with polarized beams, using an orbit corrector dipole with an excitation frequency close to the betatron tune, hence "AC-Dipole". This method of beam excitation has several potential applications in teh LHC, such as phase advance and beta-measurements, dynamic aperture studies and the investigation of resonance strengths. The technique was recently tested in the CERN SPS using the transverse damper as an "AC-Dipole" providing the fixed frequency excitation. Results from this experiment are presented, along with an explanation of the underlying principle