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Find the energy spectrum of a particle in the infinite square well, with potential U(x) →...

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Physics

Find the energy spectrum of a particle in the infinite squarewell, with potential U(x) → ∞ for |x| > L and U(x) = αδ(x) for|x| < L. Demonstrate that in the limit α ≫ hbar^2/mL, the lowenergy part of the spectrum consists of a set of closely-positionedpairs of energy levels for α > 0. What is the structure ofenergy spectrum for α < 0?

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