Binomial-Type Coefficients And Classical Approximation Processes

Thermodynamics of trapped charged ideal spin-1 bosons confined in a magnetic field are investigated within semi-classical approximation and truncated-summation approach. It is shown that the critical temperature increases slightly at the first, and then decreases slowly with increasing external magnetic field. Charged spin-1 Bose gases present a crossover from diamagnetism to paramagnetism as the spin factor increases. Charged spin-1 Bose gases exhibit distinct thermodynamic behaviors from the spinless case.

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Polynomials of binomial type and compound Poisson processes

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(88)90325-3 ◽

1988 ◽

Vol 130 (2) ◽

pp. 493-508 ◽

Cited By ~ 6

Author(s):

A.J Stam

Keyword(s):

Poisson Processes ◽

Compound Poisson ◽

Compound Poisson Processes ◽

Binomial Type ◽

Polynomials Of Binomial Type

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Approximation Operators of Binomial Type

New Developments in Approximation Theory ◽

10.1007/978-3-0348-8696-3_12 ◽

1999 ◽

pp. 175-198 ◽

Cited By ~ 3

Author(s):

Alexandru Lupaş

Keyword(s):

Approximation Operators ◽

Binomial Type

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Asymptotically equivalent functions and ultrafilters applied to noncommutative quantum cosmology

Revista Mexicana de Física ◽

10.31349/revmexfis.65.519 ◽

2019 ◽

Vol 65 (5 Sept-Oct) ◽

pp. 519

Author(s):

J.A. Astorga-Moreno ◽

E.A. Mena Barboza ◽

And M.A. García-Aspeitia

Keyword(s):

Dynamical System ◽

Cosmological Constant ◽

Commutation Relation ◽

Quantum Cosmology ◽

Positive Cosmological Constant ◽

Classical Approximation ◽

Noncommutative Quantum

Using the semi-classical approximation to the Wheeler-DeWitt equation obtained via Arnowitt-Deser-Misner (ADM) formalism in the Friedmann-Lemaitre-Robertson-Walker (FLRW) model coupled to a scalar eld and positive cosmological constant, and in the Kantowski-Sachs (KS) Universe, we introduced a deformation on the commutation relation for the minisuperspace variables and find an explicit semiclassical expression equivalent, in an adequate limit, to the solution with the aid of asymptotically equal functions and the theory of Ultralters, oering a suggestive alternative to sketch the behavior of the dynamical system involved without the need to solve it numerically.

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