Title :
Some Applications of Fractional Quantum Mechanics
Author :
Jiang, Xiaoyun ; Xu, Mingyu
Author_Institution :
Sch. of Math. & Systematical Sci., Shandong Univ., Jinan
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;
Conference_Titel :
Natural Computation, 2008. ICNC '08. Fourth International Conference on
Conference_Location :
Jinan
Print_ISBN :
978-0-7695-3304-9
DOI :
10.1109/ICNC.2008.360
