Find out periodic boundary conditions

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Do each of the following Hamiltonians exhibit (i) parity symmetry, (ii) discrete or continuous rotational symmetry (about any axis), and/or (iii) discrete or continuous translational symmetry?

a. The 3D harmonic oscillator = 1/2 ^2

b. The hydrogen atom c. A 1D system with a delta barrier at x=0 and periodic boundary conditions (think of it as a loop of wire with a small break in the wire at x=0), = ( ). (Ignore rotations since this is 1D)

Reference no: EM132650513

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