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Partial differential equation which describes the time evolution of the wavefunction of a quantum system. It is one of the first and most fundamental equations of quantum mechanics.
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Bound States in Dirac Delta Potential
Fox $x\leq 0$ (left region) the potential barrier is infinite. Then particle cannot tunel to that region, so the wave function of the particle is $0$ for $x\leq 0$. In the right region particle can mo …