Confined modes in two-dimensional tubes

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American Association of Physics Teachers

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We survey various numerical methods for finding solutions of quantum confined states. We especially consider states in two-dimensional (2D) tubes, or 2D surfaces that are confined in the transverse direction but are unconfined in the longitudinal direction. We first review existence proofs for bound states in long 2-D tubes. We then review various methods for finding such states and we discuss the significance of these eigenstates.

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Londergan, J.T., & Murdock, D.P. (2012). Confined modes in two-dimensional tubes. American Journal of Physics, 80(12), 1085-1093. http://dx.doi.org/10.1119/1.4751875

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© 2012 American Association of Physics Teachers.

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Article