Angular momentum is important concept in physics, and its phase space properties are important in various applications. In this work phase space analysis of the angular momentum is made from its classical definition, and by imposing uncertainty principle its quantum properties are obtained. It is shown that kinetic energy operator is derived, but it has different interpretation of its parts tha...

We study possible deformations of BPS supertubes keeping their conserved charges fixed. We show that there is no flat direction to closed supertubes of circular cross section with uniform electric and magnetic fields, and also to open planar supertubes. We also find that there are continuously infinite flat deformations to supertubes of general shape under certain conditions.

As a function of the disorder strength in a mesoscopic system, the electron dynamics crosses over from the ballistic through the diffusive towards the localized regime. The ballistic and the localized situation correspond to integrable or regular behavior while diffusive conductors correspond to chaotic behavior. The chaotic or regular character of single wave functions can be inferred from pha...

Construction of skeletonized path integrals for a particle moving on a curved spatial manifold is considered. As shown by DeWitt, Kuchař and others, while the skeletonized configuration space action can be written unambiguously as a sum of Hamilton principal functions, different choices of the measure will lead to different Schrödinger equations. On the other hand, the Liouville measure provide...

Phase space tomography estimates correlation functions entirely from snapshots in the evolution of the wave function along a time or space variable. In contrast, traditional interferometric methods require measurement of multiple two-point correlations. However, as in every tomographic formulation, undersampling poses a severe limitation. Here we present the first, to our knowledge, experimenta...

The representations of the algebra of coordinates and momenta of noncommutative phase space are given. We study, as an example, the harmonic oscillator in noncommutative space of any dimension. Finally the map of Schödinger equation from noncommutative space to commutative space is obtained. PACS number: 03.65Bz, 11.90.+t

Theories of Torres-Vega and Fredrick [5], Harriman [6], and of Ban [11], in which phase space points (p,q) are used as configurational variables to formulate quantum mechanics are considered from the standpoint of a class of quantization schemes associating phase space functions with operators. The connection between these schemes and the theories given in [5] to [11] is made by means of augmen...

Introduction: Efficient gait control using Functional Electrical Stimulation (FES) is an open research problem. In this research, a new intermittent controller has been designed to control the human shank movement dynamics during gait. Methods: In this approach, first, the three-dimensional phase space was constructed using the human shank movement data recorded from the healthy subjects. Then...

Alternative chicane-type beam lines are proposed for exact emittance exchange between horizontal phase space (x, x′) and longitudinal phase space (z, δ). Methods to achieve exact phase space exchanges, i.e. mapping x to z, x′ to δ, z to x and δ to x′ are suggested. Methods to mitigate the thick-lens effect of the transverse cavity on emittance exchange are discussed. Some applications of the ph...