Modified two-sources quantum statistical model and multiplicity fluctuation in the finite rapidity region

1995 ◽  
Vol 51 (6) ◽  
pp. 3507-3509
Author(s):  
Dipak Ghosh ◽  
Sharmila Sarkar ◽  
Sanjib Sen ◽  
Jaya Roy
Keyword(s):  
Statistical Model ◽  
Rapidity Region ◽  
Quantum Statistical ◽  
Multiplicity Fluctuation

A compact quantum statistical model for the ballistic nanoscale MOSFETs

2011 ◽  
Vol 208 (7) ◽  
pp. 1726-1732 ◽  
Author(s):  
A. Varpula ◽  
N. Lebedeva ◽  
P. Kuivalainen
Keyword(s):  
Statistical Model ◽  
Quantum Statistical ◽  
Nanoscale Mosfets

Estimating Quantum Statistical Parton Distribution Functions in proton by maximum entropy method

2018 ◽  
Vol 33 (30) ◽  
pp. 1850181
Author(s):  
Sozha Sohaily
Keyword(s):  
Statistical Model ◽  
Maximum Entropy ◽  
Parton Distribution ◽  
Minimum Energy ◽  
Maximum Entropy Principle ◽  
Energy Scale ◽  
Entropy Method ◽  
Distribution Functions ◽  
Parton Distribution Functions ◽  
Quantum Statistical

An attempt to extend simple Parton Distribution Functions based on the quantum statistical model to consider more active flavors is presented here. Considering partons as clusters, inspiring from the static picture of proton composed of three valence quarks, such a reasonable extension is surveyed to improve the results. Analytic expressions for the longitudinal Quantum Statistical Parton Distribution Functions are obtained by applying the maximum entropy principle beside theoretical proton sum rules. Furthermore, the main purpose of this study is to predict a minimum energy scale to probe the proton with a defined condition, theoretically. An interesting approach to determine the statistical variables exactly without fitting and fixing is employed and the consistency of computed distributions with the experimental observations gives a robust confirm of presented simple statistical model.

scholarly journals Elastic Behaviour of Diborides Under High Pressure

2009 ◽  
Vol 1 (2) ◽  
pp. 275-280
Author(s):  
Seema Gupta ◽  
S. C. Goyal
Keyword(s):  
High Pressure ◽  
Equation Of State ◽  
Statistical Model ◽  
Bulk Modulus ◽  
Electron Gas ◽  
Elastic Behaviour ◽  
Pressure Derivative ◽  
First Order ◽  
Elastic Data ◽  
Quantum Statistical

The present study deals with the elastic behaviour of diborides (BeB2, MgB2 and NbB2) under high pressure with the help of equation of state (EOS) using the elastic data reported by Islam et al. It is concluded that EOS, which are based either on quantum statistical model or  pseduopotential model, only are capable of explaining high pressure behaviour of the solids under study.  Moreover the value of first order pressure derivative of bulk modulus at infinite pressure (Kinfinity) is greater than 5/3 and thus the diborides under study do not behave as Thomas-Fermi electron gas under high compression. Keywords: Equation of state; High Pressure; Diborides. © 2009 JSR Publications. ISSN: 2070-0237 (Print); 2070-0245 (Online). All rights reserved. DOI: 10.3329/jsr.v1i2.1189 

scholarly journals On the Quantumness of Multiparameter Estimation Problems for Qubit Systems

Entropy ◽  
2020 ◽  
Vol 22 (11) ◽  
pp. 1197
Author(s):  
Sholeh Razavian ◽  
Matteo G. A. Paris ◽  
Marco G. Genoni
Keyword(s):  
Quantum Mechanics ◽  
Statistical Model ◽  
Fundamental Problem ◽  
Practical Applications ◽  
The Matrix ◽  
Estimation Problems ◽  
Estimation Precision ◽  
Quantum Statistical ◽  
The Difference ◽  
Cramer Rao Bound

The estimation of more than one parameter in quantum mechanics is a fundamental problem with relevant practical applications. In fact, the ultimate limits in the achievable estimation precision are ultimately linked with the non-commutativity of different observables, a peculiar property of quantum mechanics. We here consider several estimation problems for qubit systems and evaluate the corresponding quantumnessR, a measure that has been recently introduced in order to quantify how incompatible the parameters to be estimated are. In particular, R is an upper bound for the renormalized difference between the (asymptotically achievable) Holevo bound and the SLD Cramér-Rao bound (i.e., the matrix generalization of the single-parameter quantum Cramér-Rao bound). For all the estimation problems considered, we evaluate the quantumness R and, in order to better understand its usefulness in characterizing a multiparameter quantum statistical model, we compare it with the renormalized difference between the Holevo and the SLD-bound. Our results give evidence that R is a useful quantity to characterize multiparameter estimation problems, as for several quantum statistical model, it is equal to the difference between the bounds and, in general, their behavior qualitatively coincide. On the other hand, we also find evidence that, for certain quantum statistical models, the bound is not in tight, and thus R may overestimate the degree of quantum incompatibility between parameters.

scholarly journals Information Geometrical Characterization of Quantum Statistical Models in Quantum Estimation Theory

Entropy ◽  
2019 ◽  
Vol 21 (7) ◽  
pp. 703 ◽  
Author(s):  
Jun Suzuki
Keyword(s):  
Statistical Model ◽  
Error Bound ◽  
Statistical Models ◽  
Estimation Error ◽  
Estimation Theory ◽  
Geometrical Characterization ◽  
Classical Models ◽  
Quantum Statistical ◽  
Equivalent Conditions

In this paper, we classify quantum statistical models based on their information geometric properties and the estimation error bound, known as the Holevo bound, into four different classes: classical, quasi-classical, D-invariant, and asymptotically classical models. We then characterize each model by several equivalent conditions and discuss their properties. This result enables us to explore the relationships among these four models as well as reveals the geometrical understanding of quantum statistical models. In particular, we show that each class of model can be identified by comparing quantum Fisher metrics and the properties of the tangent spaces of the quantum statistical model.

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