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In this paper we prove a recent conjecture [Robnik M and Salasnich L 1997 J. Phys. A: Math. Gen. 3

M q ðxÞ 1⁄4 x T q ðxÞ x T q ðxÞ: (5) Since Jþi is a leading-twist operator, it is clear that such a simple partonic interpretation should exist. However, Ji, Xiong, and Yuan misleadingly interpret Jþi as the transverse angular momentum operator. Indeed, in light-front quantization, the role of time is taken by xþ, so that Jþi is the light-front transverse boost operator. In terms of the more co...

a classical theory is developed which calculates the momentum transfer rate constant between an ion and a non-polar molecule. the model takes into consideration the effect of diffraction outside the capture limit on the rate constants. the theory is used to calculate momentum transfer rate constant for cl- with trans-dichloroethylene and para-difluorobenzene. theoretical results are compared to...

most previous laboratory studies of local scour at bridge abutments were performed in rectangular channels in which the distributions of flow velocity and bed shear stress were considered uniform in the transverse direction. in reality however, bridge abutments are usually located in the floodplain zone of rivers where velocity and shear stress distributions are directly affected by the lat...

We find that the momentum conjugate to the relative distance between two gravitating particles in their center of mass frame is a hyperbolic angle. This fact strongly suggests that momentum space should be taken to be a hyperboloid. We investigate the effect of quantization on this curved momentum space. The coordinates are represented by non commuting, Hermitian operators on this hyperboloid. ...

In this paper we report on the parallelization of a split-step algorithm for the Schrödinger equation. The problem is represented in spherical coordinates in physical space and transformed to Fourier space for operation by the Laplacian operator, and Legendre space for operation by the Angular momentum operator and the Potential operator. Timing results are reported and analyzed for 3 different...

First examples of quasi-exactly solvable models describing spin-orbital interaction are constructed. In contrast with other examples of matrix quasi-exactly solvable models discussed in the literature up to now, our models admit infinite (but still incomplete) sets of exact (algebraic) solutions. The hamiltonians of these models are hermitian operators of the form H = −∆ +V1(r)+ (s · l)V2(r)+ (...