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pro vyhledávání: '"Laskin, Nick"'
Autor:
Laskin, Nick
A new fractional non-homogeneous counting process has been introduced and developed using the Kilbas and Saigo three-parameter generalization of the Mittag-Leffler function. The probability distribution function of this process reproduces for certain
Externí odkaz:
http://arxiv.org/abs/2312.17389
Autor:
Laskin, Nick
The fundamental properties of recently introduced stretched coherent states are investigated. It has been shown that stretched coherent states retain the fundamental properties of standard coherent states and generalize the resolution of unity, or co
Externí odkaz:
http://arxiv.org/abs/2302.07563
Autor:
Laskin, Nick
A new family of fractional counting processes based on a three-parameter generalized Mittag-Leffler function was introduced and studied. As applications we develop a fractional generalized compound process, introduce and develop fractional generalize
Externí odkaz:
http://arxiv.org/abs/2301.07100
Autor:
Laskin, Nick
Publikováno v:
In Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena September 2024 186
Autor:
Laskin, Nick
A time fractional quantum framework has been introduced into quantum mechanics. A new version of the space-time fractional Schr\"odinger equation has been launched. The introduced space-time fractional Schr\"odinger equation has a new scale parameter
Externí odkaz:
http://arxiv.org/abs/1703.00301
Autor:
Laskin, Nick
A unified analytical pricing framework with involvement of the shot noise random process has been introduced and elaborated. Two exactly solvable new models have been developed. The first model has been designed to value options. It is assumed that a
Externí odkaz:
http://arxiv.org/abs/1407.4452
Autor:
Laskin, Nick
Fractional classical mechanics has been introduced and developed as a classical counterpart of the fractional quantum mechanics. Lagrange, Hamilton and Hamilton-Jacobi frameworks have been implemented for the fractional classical mechanics. The Lagra
Externí odkaz:
http://arxiv.org/abs/1302.0547
Autor:
Laskin, Nick
Exciton-phonon dynamics on a 1D lattice with long-range exciton-exciton interaction have been introduced and elaborated. Long-range interaction leads to a nonlocal integral term in the motion equation of the exciton subsystem if we go from discrete t
Externí odkaz:
http://arxiv.org/abs/1104.1310
Autor:
Laskin, Nick
Publikováno v:
AIP Conference Proceedings Vol 1281, (2010), pp. 1152-1155
Generalizations of Bell polynomials, Bell numbers, and Stirling numbers of the second kind have been introduced and their generating functions were evaluated.
Comment: ICNAAM 2010: International Conference of Numerical Analysis and Applied Mathe
Comment: ICNAAM 2010: International Conference of Numerical Analysis and Applied Mathe
Externí odkaz:
http://arxiv.org/abs/1010.2874
Autor:
Laskin, Nick
A review of fundamentals and physical applications of fractional quantum mechanics has been presented. Fundamentals cover fractional Schr\"odinger equation, quantum Riesz fractional derivative, path integral approach to fractional quantum mechanics,
Externí odkaz:
http://arxiv.org/abs/1009.5533