A very ’physical’ approach to this phenomenon can be made by making use of the linearity of Stokes equations and symmetries of the system. Here, we preform detailed calculations according to hints from Exercise 2.9 from the textbook [Kim & Karilla]. As the Stokes equations are linear in p and v, the pressure field p(r) can be written as a scalar product of a certain vector field P(r) and the po...

Previous Proposals and Problems Regarding the key question, two main streams of proposals are basically discernible. One stream maintained that both NP1 and NP2 are subject, trying to define various notions of subject: e.g., Yu (1909) called them big and small subject, Yoon (2003, 2007) major and grammatical subject, and Lee (2007) subject [Spec, RefP] and subject [Spec, TP], respectively. The ...

The Robertson-Walker spacetimes are conformally flat and so are conformally invariant under the action of the Lie group SO(4, 2), the conformal group of Minkowski spacetime. We find a local coordinate transformation allowing the Robertson-Walker metric to be written in a manifestly conformally flat form for all values of the curvature parameter k continuously and use this to obtain the conforma...

Abstract. The approach of Berezin to the quantization of so(n,2) via generalized coherent states is considered in detail. A family of n commuting observables is found in which the basis for an associated Fock-type representation space is expressed. An interesting feature is that computations can be done by explicit matrix calculations in a particular basis. The basic technical tool is the Leibn...

is a homomorphism of classical matrix Lie groups. The lefthand group consists of 2 × 2 complex matrices with determinant 1. The righthand group consists of 4× 4 real matrices with determinant 1 which preserve some fixed real quadratic form Q of signature (1, 3). This map is alternately called the spinor map and variations. The image of this map is the identity component of SO1,3(R), denoted SO1...

A Z2 orbifold compactification of the heterotic string is considered. The resulting 6D GUT groups can be SO(16) or E7 × SU(2) plus some hidden sector groups. The N = 4 supersymmetry is reduced to N = 2. In particular, the SO(16) 6D model with one spinor representation 128 can reduce to the previous 5D SO(16) or SO(14) family unification models after compactifying the sixth dimension. To obtain ...