Solutions to the radial Schrödinger equation of a particle in a quantum corral are used to probe how the statistical correlation between the position, and The momentum of the particle depends on the effective potential. The analysis is done via the Wigner function and its Shannon entropy. We show by comparison to the particle-in-a-box model that the attractive potential increases the magnitude ...

We discuss the problem of finding ”marginal” distributions within different tomographic approaches to quantum state measurement, and we establish analytical connections among them. PACS number(s): 03.65.-w, 42.50.-p

X iv :0 90 1. 03 64 v1 [ qu an tph ] 4 J an 2 00 9 Collins diffraction formula and the Wigner function in entangled state representation Hong-Yi Fan and Li-yun Hu Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China Department of Material Science and Engineering, University of Science and Technology of China, Hefei, Anhui 230026, China Corresponding author. E-mail addres...

We review the Weyl-Wigner formulation of quantum mechanics in phase space. We discuss the concept of Narcowich-Wigner spectrum and use it to state necessary and sufficient conditions for a phase space function to be a Wigner distribution. Based on this formalism we analize the modifications introduced by the presence of boundaries. Finally, we discuss the concept of environment-induced decohere...

Applying the fractional Fourier transform and the Wigner distribution on a signal in a cascade fashion is equivalent with a rotation of the time and frequency parameters of the Wigner distribution. This report presents a formula for all unitary operators that are related to energy preserving transformations on the parameters of the Wigner distribution by means of such a cascade of operators. Fu...

In process of AC square wave submerged arc welding, electric signal waveform determines the arc energy characteristics in the time and frequency domain, which also reflects the arc stability of welding proc ess and quality indirectly. Using Wigner-Ville distribution (WVD), time frequency analysis is conducted to the current signal of AC square wave submerged arc welding. The Pseudo Wigner-Ville...

By using the fractional Fourier transformation of the time-domain signals, closed-form expressions for the projections of their auto or cross ambiguity functions are derived. Based on a similar formulation for the projections of the auto and cross Wigner distributions and the well known two-dimensional (2-D) Fourier transformation relationship between the ambiguity and Wigner domains, closed-fo...

We consider N×N Hermitian or symmetric random matrices with independent entries. The distribution of the (i, j)-th matrix element is given by a probability measure νij whose first two moments coincide with those of the corresponding Gaussian ensemble. We prove that the joint probability distribution of the components of eigenvectors associated with eigenvalues close to the spectral edge agrees ...

IV Far-From-Equilibrium Transport 15 1 Mixed States and Distribution Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 2 Irreversible Processes and Master Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 2.1 The Boltzmann Equation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 2.2 Numerical Evaluation Methods . . . . . . . . . . . . ....