Abstract:
Using the linearized theory of general relativity, the gravitomagnetic analogue of the Barnett effect is derived. Further theoretical and experimental investigation is recommended, due to the expected macroscopic values of the gravitomagnetic field involved in this effect, and to the constraints which would appear on quantum theories of gravity, currently under development, in case of non detection of the predicted phenomena.

Abstract:
The su$(n)$ Lie algebraic structure of the Pegg-Barnett oscillator that possesses a finite-dimensional number-state space is demonstrated. The supersymmetric generalization of Pegg-Barnett oscillator is suggested. It is shown that such a supersymmetric Pegg-Barnett oscillator may have some potential applications, {\it e.g.}, the mass spectrum of the charged leptons.

Abstract:
The Barnett effect refers to the magnetization induced by rotation of a demagnetized ferromagnet. We describe the location and stability of stationary states in rotating nanostructures using the Landau-Lifshitz-Gilbert equation. The conditions for an experimental observation of the Barnett effect in different materials and sample geometries are discussed.

Abstract:
it is argued that the distinction between the normative and the descriptive interpretation of norm sentences can be regarded as a distinction between two kinds of utterances. a norm or a directive has as its content a normative proposition. a normative (performative) utterance of a normative proposition in appropriate circumstances makes the proposition true, and an assertive (descriptive) utterance has as its truth-maker the norm system to which it refers. this account of norms, norm-contents, and utterances of norm sentences solves j？rgensen's problem: logical relations among norms can be defined in the usual way in terms of the truth-conditions of the normative propositions which form their content. there is no distinction between the logic of norms and the logic of normative propositions; in this respect the present account differs from carlos alchourrón and eugenio bulygin's account of the logic of normative propositions.

Abstract:
The oscillator algebra of Pegg-Barnett (P-B) oscillator with a finite-dimensional number-state space is investigated in this note. It is shown that the Pegg-Barnett oscillator possesses the su($n$) Lie algebraic structure. Additionally, we suggest a so-called supersymmetric P-B oscillator and discuss the related topics such as the algebraic structure and particle occupation number of supersymmetric P-B oscillator.

Abstract:
The objective of this study was to examine the level of flexibility in men and women of different ages by the sit-and-reach test and to classify them according to the Canadian Standardized Test of Fitness (CSTF). The results were used to elaborate a new table that reflects the population studied. The sample consisted of 16,405 physically active and inactive subjects who were divided according to age: 15 to 19 (n = 954), 20 to 29 (n = 2916), 30 to 39 (n = 2161), 40 to 49 (n = 2333), 50 to 59 (n = 2739), 60 to 69 (n = 3195), and > 70 years (n = 2107). Percentiles were calculated using the original test scores and the 20th, 40th, 60th and 80th percentiles were used as cut-offs for classification as poor, below the average, average, above the average and excellent, respectively. According to the CSTF classification, the age groups from 15 to 39 years were classified as poor, with mean flexibility ranging from 24.805±9.684 to 26.130± 10.111 cm in women and from 21.480±9.905 to 22.848±9.648 cm in men. In the 40- to 69-year age groups, mean flexibility ranged from 22.768±9.627 to 25.396±9.547 in women and from 16.396±10.136 to 19.935±9.192 cm in men and was classified as below the average. Although most of the subjects performed regular exercise, the mean flexibility level observed did not correspond to the average suggested by the CSTF, demonstrating the importance of elaborating national reference tables and of establishing new normative values such as the table proposed in this study.

Abstract:
We define a new operator within Barnett-Pegg formalism for phase angle. The physical predictions for this operator correspond to those expected of an angular velocity operator. Examples studied are particle on a circle with and without magnetic field and quantum harmonic oscillator.

Abstract:
We present an exact formulation of the physics of Barnett relaxation. Our formulation is based on a realistic kinetic model of the relaxation mechanism which includes the alignment of the grain angular momentum in body coordinates by Barnett dissipation, disalignment by thermal fluctuations, and coupling of the angular momentum to the gas via gas damping. We solve the Fokker-Planck equation for the measure of internal alignment using numerical integration of the equivalent Langevin equation for Brownian rotation. The accuracy of our results is calibrated by comparing our numerical solutions with exact analytic results obtained for special cases.We describe an analytic approximation for the measure of alignment which fits our numerical results for cases of practical interest.

Abstract:
We investigate the oscillator algebra of the Pegg-Barnett oscillator with a finite-dimensional number-state space and show that it possesses the su($n$) Lie algebraic structure. In addition, a so-called supersymmetric Pegg-Barnett oscillator is suggested, and the related topics such as the algebraic structure and particle occupation number of the Pegg-Barnett oscillator are briefly discussed.

Abstract:
We compare the Pegg-Barnett (PB) formalism with the covariant phase observable approach to the problem of quantum phase and show that PB-formalism gives essentially the same results as the canonical (covariant) phase observable. We also show that PB-formalism can be extended to cover all covariant phase observables including the covariant phase observable arising from the angle margin of the Husimi Q-function.