ON T-VIOLATION IN MATTER NEUTRINO OSCILLATIONS

1991 ◽  
Vol 06 (06) ◽  
pp. 455-460 ◽  
Author(s):  
S. TOSHEV
Keyword(s):  
Neutrino Oscillations ◽  
Measurable Quantity ◽  
Simple Analytical Expression ◽  
Analytical Expression ◽  
T Violation

We continue the investigation of possible T-violating effects in three-neutrino oscillations in matter. Intriguingly simple analytical expression for the experimentally measurable quantity [Formula: see text] (t) is derived.

scholarly journals BEST SEPARABLE APPROXIMATION WITH SEMI-DEFINITE PROGRAMMING METHOD

2004 ◽  
Vol 02 (04) ◽  
pp. 541-558 ◽  
Author(s):  
M. A. JAFARIZADEH ◽  
M. MIRZAEE ◽  
M. REZAEE
Keyword(s):  
Mixed State ◽  
Qubit State ◽  
Programming Method ◽  
Simple Analytical Expression ◽  
Analytical Expression ◽  
Isotropic State ◽  
Separable Approximation ◽  
Isotropic States

The present methods for obtaining the optimal Lewenestein–Sanpera decomposition of a mixed state are difficult to handle analytically. We provide a simple analytical expression for the optimal Lewenstein–Sanpera decomposition by using semi-definite programming. In particular, we obtain the optimal Lewenstein–Sanpera decomposition for some examples such as: the Bell decomposable state, the iso-concurrence state, the generic two-qubit state in the Wootters basis, the 2⊗3 Bell decomposable state, the d⊗d Werner and isotropic states, a one parameter 3⊗3 state, and finally a multi-partite isotropic state.

The formation of a dip on the surface of a liquid draining from a tank

1967 ◽  
Vol 29 (2) ◽  
pp. 385-390 ◽  
Author(s):  
Barry T. Lubin ◽  
George S. Springer
Keyword(s):  
Experimental Data ◽  
Liquid Surface ◽  
Cylindrical Tank ◽  
Simple Analytical Expression ◽  
Analytical Expression ◽  
Stationary Liquid ◽  
Circular Orifice ◽  
Good Agreement

Experiments were performed studying the formation of a dip on the surface of an initially stationary liquid draining from a cylindrical tank through an axisym-metrically placed circular orifice. Based upon the information obtained from the experiments, a simple analytical expression was derived predicting the height of the liquid surface in the tank at which this dip forms. A comparison was made between the experimental data and the results of the analysis and good agreement was found between theory and data.

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