Applied Mechanics and Materials

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

Wen Li Yu, Hui Qiu Du

Published Aug 1, 2014• 2 citations

Abstract

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.

DOI: 10.4028/www.scientific.net/amm.624.245

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