We analyze the one-dimensional random walk of a particle on the right-half real line. The particles starts at x = k, for k > 0, and ends up at the origin. We solve for the probabilities of absorptionâ€¦ (More)

Two discrete path integral formulations for the ground state of a spinpinned quantum anisotropic XXZ Heisenberg chain are introduced. Their properties are discussed and two recursion relations areâ€¦ (More)

It is shown that, with an appropriate scaling, the energy of low-lying excitations of the (1, 1,. .. , 1) interface in the d-dimensional quantum Heisenberg model are given by the spectrum of the d âˆ’â€¦ (More)

Ophthalmic & physiological optics : the journalâ€¦

2000

In a simplified fashion, the motion of the eyeball in its orbit consists of rotations around a fixed point. Therefore, this motion can be described in terms of Euler's angles of rigid body dynamics.â€¦ (More)

We solve a difficult problem involving velocity and acceleration components along oblique axes, and propose two problems of central force motion to be solved using oblique axes.

We present an elementary discussion of two basic properties of angular displacements, namely, the anticommutation of finite rotations, and the commutation of infinitesimal rotations, and show howâ€¦ (More)

Introduction It is always a good practice to provide the physical content of an analytical result. The following algebraic inequality lends itself well to this purpose: For any finite sequence ofâ€¦ (More)

We prove the existence of the Bogoliubov S(g) operator for the (: Ï† :)2 quantum field theory. The construction is nonperturbative and relies on a theorem of KisyÅ„ski. It implies almost automaticallyâ€¦ (More)

When a symmetric top is set spinning with angular velocity Ï‰ c about its own axis, it traces out a circle about a vertical direction with angular velocity Ï‰ z , as shown in Fig. 1. In most textbooksâ€¦ (More)

Two discrete path integral formulations for the ground state of a spinpinned quantum anisotropic XXZ Heisenberg chain are introduced. Their properties are discussed and two recursion relations areâ€¦ (More)