Quantum Mechanical Example of Anti-Tunneling
The probability of a particle being reflected by a semi-infinite energy barrier was solved using Schrödinger's equations that describe the quantum mechanical behavior of the particle. The continuity of the functions at the origin allowed the wave functions and their respective derivati...
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| Format: | Article |
| Language: | English |
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University of South Florida
2010-01-01
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| Series: | Undergraduate Journal of Mathematical Modeling: One + Two |
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| Online Access: | http://scholarcommons.usf.edu/ujmm/vol2/iss2/6 |
| Summary: | The probability of a particle being reflected by a semi-infinite energy barrier was solved using Schrödinger's equations that describe the quantum mechanical behavior of the particle. The continuity of the functions at the origin allowed the wave functions and their respective derivatives to be equated. Solution of the resulting system yielded values A<sub>1</sub> and B<sub>1</sub> which were used to calculate the reflection coefficient, (B<sub>1</sub>/A<sub>1</sub>)<sup>2</sup>. The conclusions obtained from these results stated that the particle would be reflected by the barrier when E<V. The probability of the particle being reflected decreased exponentially as the E/V ratio increased. |
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| ISSN: | 2326-3652 |