DocumentCode
478247
Title
Some Applications of Fractional Quantum Mechanics
Author
Jiang, Xiaoyun ; Xu, Mingyu
Author_Institution
Sch. of Math. & Systematical Sci., Shandong Univ., Jinan
Volume
3
fYear
2008
fDate
18-20 Oct. 2008
Firstpage
688
Lastpage
691
Abstract
The space fractional Schro umldinger equation with delta-potential barrier ,delta-potential well and Dirac comb is studied. The jump condition of quantum Riesz fractional derivative is obtained. The reflection coefficient and transmission coefficient are determined. The relationships between the fractional and standard Schro umldinger equation are discussed. The results of standard quantum mechanics can be regarded as particular cases of this paper and are included in this paper.
Keywords
Schrodinger equation; functions; quantum theory; Dirac comb; delta-potential barrier; delta-potential well; fractional Schrodinger equation; fractional quantum mechanics; quantum Riesz fractional derivative; reflection coefficient; transmission coefficient; Computer applications; Fractals; Laplace equations; Mathematics; Oscillators; Potential well; Quantum computing; Quantum mechanics; Reflection; Wave functions;
fLanguage
English
Publisher
ieee
Conference_Titel
Natural Computation, 2008. ICNC '08. Fourth International Conference on
Conference_Location
Jinan
Print_ISBN
978-0-7695-3304-9
Type
conf
DOI
10.1109/ICNC.2008.360
Filename
4667224
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