JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE) ›› 2010, Vol. 40 ›› Issue (1): 139-143.

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The solution to the space fractional Schro¨dinger equationwith double δ potential

  

  • Received:2009-01-08 Online:2010-02-16 Published:2009-01-08

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Abstract:

The jump conditions and the solution to the fractional Schr[o¨dinger equation with a double δpotential barrierare studied. The corresponding reflection coefficient and transmission coefficient of the particle are given. Also, the relations between fractional and classical Schro¨dinger equation are discussed. The solution to the space fractional Schr[o¨dinger equation with a double δpotential barrier is obtained.

Key words: fractional calculus; space fractional Schro¨dinger equation; double δpotential barrier; jump conditions; momentum representation

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