The Quantum Conditions of One Dimension Potential Well Based on WKB Approximation Method


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Wenzel-Kramers-Brillouin (WKB) method being an approximation method in quantum mechanics has been applied widely. For the potential problems WKB approximation method is taken as an effective technology. With the help of the WKB approximation method the quantum conditions of bound States particle being in three different typical one dimension (1D) potential well models are derived in this paper. In addition, the idea of the WKB approximation method and the procedures dealing with the potential problems are demonstrated clearly, which are very helpful for understanding the quantum conditions of 1D potential well models deeply and mastering the WKB approximation method to solve some related problems in quantum mechanics.



Edited by:

Li Qiang




W. L. Yu and H. Q. Du, "The Quantum Conditions of One Dimension Potential Well Based on WKB Approximation Method", Applied Mechanics and Materials, Vol. 624, pp. 245-248, 2014

Online since:

August 2014





* - Corresponding Author

[1] Yan-Xia Li, Ri-Xin Mao: Using WKB approximation method to calculate the coulomb field of partial wave phase Angle. Journal of Shenyang normal university, 2006, (4): 430-432.

[2] Shu-Hao Ban, Xiao-Yan Li: The application of the generalized WKB method in wave field simulation study, Progress in Geophysics, 2006(1): 79-83.

[3] Ruo-Hang Chen, Zhang-Hua Zheng and Xiang Kong: University physics, 1997(8) 18-20.

[4] Jin-Yan Zeng: Quantum mechanics (volume II) . BeiJing: Science press, 2007: 84-86.

[5] David J. Griffiths: Introduction to Quantum Mechanics. Beijing: China Machine Press. 2006: 330-332.

[6] Jin-Yan Zeng: An introduction to quantum mechanics. Beijing: Higher Education Press, (2006).