Numerical study on formation of electronic quantum states due to self-coherency in a non-periodic system |
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Authors: | Katsuya Ikegami Masato Morifuji Hideki Momose Masahiko Kondow |
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Institution: | aDepartment of Electronic Engineering, Osaka University, Suita, Osaka 565-0871, Japan |
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Abstract: | In order to investigate formation process of electronic quantum states in a confined system, we simulate motion of a wavepacket state and show how an eigenstate is formed due to coherence of electronic wave from the viewpoint that an eigenstate arises as a result of self-interference of a moving electron. Numerical results for a Hénon–Heiles potential in which chaotic motion can occur in the classical mechanics indicate that electronic eigenstates can arise even when motion of an electron is non-periodic. The results show that, in the quantum mechanics, periodicity is unnecessary for the formation of eigenstates. |
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Keywords: | Quantum dots Quantum wave interference Self-coherency Hé non– Heiles potential |
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