cse • paper_2 • quantum_mechanicscse-2012-subject-05-002
Quantum wavefunction — UPSC CSE 2012 Physics PYQ
Buy PYQ Solution Manual →Consider the one-dimensional wavefunction \psi(x)=Axe^{-kx}, (0\leq x\leq\infty;\,k>0)
(i) Calculate A so that \psi(x) is normalized.
(ii) Using Schrödinger's equation find the potential V(x) and energy E for which \psi(x) is an eigenfunction. (Assume that as x \to \infty, V(x) \to 0).
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