3. Consider the asymmetric square well { U1, if x a/2 U (x) = (a) Write down the general matching conditions that the solution to the Schrödinger equation, v(x) satisfies. (b) Derive explicitly the...

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Extracted text: 3. Consider the asymmetric square well { U1, if x < -a/2="" 0,="" if="" –="" a/2="">< x="">< a/2="" u2="" if="" x=""> a/2 U (x) = (a) Write down the general matching conditions that the solution to the Schrödinger equation, v(x) satisfies. (b) Derive explicitly the system of equations that determines the eigenenergies of the problem. (c) Does the problem have inversion symmetry? Explain why using the notion of a commutator.