Occupation numbers for reacting plasmas - The role of the Planck-Larkin partition function

1986 ◽  
Vol 310 ◽  
pp. 723 ◽  
Author(s):  
F. J. Rogers
Keyword(s):  
Partition Function ◽  
Occupation Numbers

The Physical Significance and the Role of the Molecular Partition Function

Daxue Huaxue ◽  
2016 ◽  
Vol 31 (1) ◽  
pp. 75-78
Author(s):  
Guo-Jie LIU ◽  
◽  
◽  
Ji-Bin SHI
Keyword(s):  
Partition Function ◽  
Physical Significance

scholarly journals Controlled Heterogeneous Collection: The Role of Occupation Numbers

2008 ◽  
Vol 45 (03) ◽  
pp. 595-609 ◽  
Author(s):  
A. Gerardi ◽  
P. Tardelli
Keyword(s):  
Class A ◽  
Finite Dimensional ◽  
Occupation Numbers ◽  
Discrete Time Approximation ◽  
Wear And Tear ◽  
Set Up ◽  
Number Of Classes ◽  
Filtering Problem ◽  
The Value Function

A controlled heterogeneous collection of identical items is presented. According to their level of wear and tear, they are divided into a finite number of classes and the partition of the collection is allowed to change over time. A suitable exchangeability assumption is made to preserve the property that the items be identical. The role of the occupation numbers is investigated and a filtering problem is set up, where the observation is the cardinality of a particular class. A control on the dynamics of the items is introduced, and the existence of an optimal control is proved. A discrete-time approximation for the separated problem, which is a finite-dimensional one, is performed. As a consequence, an approximation for the value function is given.

Role of electronic partition function in quantitative SIMS using the Saha-Eggert equation

1986 ◽  
Vol 90 (1-2) ◽  
pp. 105-115 ◽  
Author(s):  
Tsukasa Kuroda ◽  
Shozo Tamaki
Keyword(s):  
Partition Function ◽  
Quantitative Sims

scholarly journals PARTITION FUNCTIONS OF MATRIX MODELS: FIRST SPECIAL FUNCTIONS OF STRING THEORY

2004 ◽  
Vol 19 (24) ◽  
pp. 4127-4163 ◽  
Author(s):  
A. ALEXANDROV ◽  
A. MOROZOV ◽  
A. MIRONOV
Keyword(s):  
String Theory ◽  
Partition Function ◽  
Matrix Model ◽  
Special Functions ◽  
Finite Size ◽  
Building Blocks ◽  
Partition Functions ◽  
Virasoro Constraints ◽  
Elementary Building

Even though matrix model partition functions do not exhaust the entire set of τ-functions relevant for string theory, they seem to be elementary building blocks for many others and they seem to properly capture the fundamental symplicial nature of quantum gravity and string theory. We propose to consider matrix model partition functions as new special functions. Here we restrict our consideration to the finite-size Hermitian 1-matrix model and concentrate mostly on its phase/branch structure arising when the partition function is considered as a D-module. We discuss the role of the CIV–DV prepotential (as generating a possible basis in the linear space of solutions to the Virasoro constraints, but with a lack of understanding of why and how this basis is distinguished).

scholarly journals Strong Correlation and Charge Localization in Kohn-Sham Theories with Fractional Orbital Occupations: The Role of the Potential

2019 ◽  
Author(s):  
Maria Hellgren ◽  
Tim Gould
Keyword(s):  
Dipole Moments ◽  
Valence Bond ◽  
Functional Theory ◽  
Charge Delocalization ◽  
Charge Localization ◽  
Occupation Numbers ◽  
Static Correlation ◽  
A Charge ◽  
Reduced Density

We study static correlation and delocalisation errors and show that even methods with good energies can yield significant delocalization errors that affect the density, leading to large errors in predicting e.g. dipole moments. We illustrate this point by comparing existing state-of-art approaches with an accurate exchange correlation functional based on a generalised valence-bond ansatz, in which orbitals and fractional occupations are treated as variational parameters via an optimized effective potential (OEP). We show that the OEP exhibits step and peak features which, similar to the exact Kohn-Sham (KS) potential of DFT, are crucial to prevent charge delocalization. We further show that the step is missing in common approximations within reduced density matrix functional theory resulting in delocalization errors comparable to those found in DFT approximations. Finally, we explain the delocalization error as coming from an artificial mixing of the ground state with a charge-transfer excited state which is avoided if occupation numbers exhibit discontinuities.<br><br>

Exchangeable mixture models for lifetimes: the role of “occupation numbers”

2000 ◽  
Vol 49 (4) ◽  
pp. 365-375 ◽  
Author(s):  
Anna Gerardi ◽  
Fabio Spizzichino ◽  
Barbara Torti
Keyword(s):  
Mixture Models ◽  
Occupation Numbers
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