منابع مشابه
Fractional quantum mechanics
A path integral approach to quantum physics has been developed. Fractional path integrals over the paths of the Levy flights are defined. It is shown that if the fractality of the Brownian trajectories leads to standard quantum and statistical mechanics, then the fractality of the Levy paths leads to fractional quantum mechanics and fractional statistical mechanics. The fractional quantum and s...
متن کاملExtended Fractional Supersymmetric Quantum Mechanics
Recently, we presented a new class of quantum-mechanical Hamiltonians which can be written as the F th power of a conserved charge: H = Q with F = 2, 3, ... . This construction, called fractional supersymmetric quantum mechanics, was realized in terms of a paragrassmann variable θ of order F , which satisfies θ = 0. Here, we present an alternative realization of such an algebra in which the int...
متن کاملFractional Supersymmetry and Quantum Mechanics
We present a set of quantum-mechanical Hamiltonians which can be written as the F th power of a conserved charge: H = Q F with [H, Q] = 0 and F = 2, 3, .... This new construction, which we call fractional supersymmetric quantum mechanics, is realized in terms of paragrassmann variables satisfying θ F = 0. Furthermore, in a pseudo-classical context, we describe fractional supersymmetry transform...
متن کاملOn Fractional Supersymmetric Quantum Mechanics: the Fractional Supersymmetric Oscillator
What is supersymmetry ? Roughly speaking SUperSYmmetry or SUSY can be defined as a symmetry between bosons and fermions (as considered as elementary particles or simply as degrees of freedom). In other words, SUSY is based on the postulated existence of operators Qα which transform a bosonic field into a fermionic field and vice versa. In the context of quantum mechanics, such symmetry operator...
متن کاملLévy flights, dynamical duality and fractional quantum mechanics
We discuss dual time evolution scenarios which, albeit running according to the same real time clock, in each considered case may be mapped among each other by means of a suitable analytic continuation in time procedure. This dynamical duality is a generic feature of diffusion-type processes. Technically that involves a familiar transformation from a non-Hermitian Fokker-Planck operator to the ...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 2000
ISSN: 1063-651X,1095-3787
DOI: 10.1103/physreve.62.3135