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Good approximate eigenstates of a Hamiltionian operator which poesses a point as well as a continuous spectrum have beeen obtained using the Lanczos algorithm. Iterating with the bare Hamiltonian operator yields spurious solutions which can easily be
Externí odkaz:
http://arxiv.org/abs/2107.03921
Publikováno v:
In ESMO Gastrointestinal Oncology March 2024 3
The Maximum Entropy (MaxEnt) technique is applied to the derivation of the Gaussian Dispersion Plume Model as well as to more complex transport phenomena such as the one-dimensional advection equation, the one-dimensional diffusion equation, the one
Externí odkaz:
http://arxiv.org/abs/2010.11864
Distribution functions of many static transport equations are found using the Maximum Entropy Principle. The equations of constraint which contain the relevant dynamical information are simply the low-lying moments of the distributions. Systems subje
Externí odkaz:
http://arxiv.org/abs/1906.06541
An algorithm for finding the bound-state eigenvalues and eigenfunctions of a Hermitian Hamiltonian operator using Green's method, developed by Waxman\cite{W98},has been extended to include non-Hermitian Hamiltonian operators.
Externí odkaz:
http://arxiv.org/abs/1710.08411
Akademický článek
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Autor:
Conroy, J. M., Miller, H. G.
The nonextensive entropic measure proposed by Tsallis introduces a parameter, q, which is not defined but rather must be determined. The value of q is typically determined from a piece of data and then fixed over the range of interest. On the other h
Externí odkaz:
http://arxiv.org/abs/1408.1686
Autor:
Conroy, J. M., Miller, H. G.
The exact solution of a particular form of the stationary state generalized Fokker-Planck equations, which is given under certain conditions by the classical Tsallis distribution, is compared with the solution of the MAXENT equations obtained using t
Externí odkaz:
http://arxiv.org/abs/1301.7715
The central role of the Rayleigh quotient in many body physics is discussed. Various many body methods can be obtained from either an attempt to evaluate the Rayleigh Quotient directly or through various variational approximations. Rather than dwell
Externí odkaz:
http://arxiv.org/abs/1112.0292
Thermodynamic Consistency of the $q$-Deformed Fermi-Dirac Distribution in Nonextensive Thermostatics
Publikováno v:
Phys.Lett.A374:4581-4584,2010
The $q$-deformed statistics for fermions arising within the non-extensive thermostatistical formalism has been applied to the study of various quantum many-body systems recently. The aim of the present note is to point out some subtle difficulties pr
Externí odkaz:
http://arxiv.org/abs/1006.3963