The one-dimensional fractional supersymmetric quantum mechanical operator of momentum

Miškinis, Paulius

Use this url to cite publication: https://hdl.handle.net/20.500.14911/119275

The one-dimensional fractional supersymmetric quantum mechanical operator of momentum

Details

Publication Type (CRIS)

Straipsnis recenzuojamoje užsienio tarptautinės konferencijos medžiagoje / Article in peer-reviewed foreign international conference proceedings (P1d)

Publication Type (eLABa)

Straipsnis recenzuotame konferencijos darbų leidinyje / Article published in peer-reviewed conference proceedings (P1d)

Author(s)

Author	Affiliation
Miškinis, Paulius	Fizikos katedra / Department of Physics (1020)

Title

The one-dimensional fractional supersymmetric quantum mechanical operator of momentum

[en]

P. Miškinis

Is part of

Аналитические методы анализа и дифференциальных уравнений (АМАDЕ-2006): труды 4-й международной конференции, посвященной 100-летию академика Ф.Д. Гахова 13-19 сентября 2006 г., Минск, Беларусь / The Belarusian State University, The Institute of Mathematics of the Belarusian National Academy of Sciences, Moscow State University. Т. 1, Математический анализ

Published In

Year	Start Page	End Page
2006	75	82

Publisher

Минск : Белорусский государственный университет

Extent

p. 75-82

URI

URI
https://hdl.handle.net/20.500.14911/119275

Cited references

Science / Art Area

Gamtos mokslai / Natural Sciences (N)

Field of Science / Art

Fizika / Physics (N002)

Abstract (en)

In the case of the quantum generalization of Lévy processes, expressions for the Hermitian operator of momentum and its eigenfunctions are proposed. The normalization constant has been determined and its relation to the translation operator is shown. The interrelation between the momentum and the wave number has been generalized for the processes with a non-integer dimension a. The simplest nonlocal superalgebra is introduced.