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Quantum Mechanics in Semiconductors: Applications and Concepts

This article explores the application of quantum mechanics in the field of semiconductors. Key concepts include the Schrödinger wave equation and its eigenstates, transmission and reflection principles, and perturbation theory. The discussion extends to the time-dependent Schrödinger equation, covering tunneling currents and charge dynamics, as well as transition rates. Additionally, topics such as quantum superposition and entanglement, along with exciton binding energy, are examined in the context of their relevance to modern semiconductor technologies.

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Quantum Mechanics in Semiconductors: Applications and Concepts

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  1. Topic 2: Quantum mechanics applied to semiconductors Kai Shum 2011-09-02

  2. Topic #2: Quantum mechanics • Schrodinger wave equation eigen states/wave-functions (Yariv 1D & HO, Shum’s note) transmission/reflection (Yariv 1D)  1st and 2nd order perturbation (Yariv)  exciton binding energy (note) • Time-dependent Schrodinger equation  tunneling current (1994 Jihad paper)  charge dynamics (Shum’s VQP)  transition rates (Yariv) • Quantum superposition (wiki link) • Quantum correlation  Entanglement (Shum’s note)

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