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5. The wavefunction of a particle is ?(?) = ??−??/2 for x>0 and ?(?) = ????/2...

5. The wavefunction of a particle is ?(?) = ??−??/2 for x>0 and ?(?) = ????/2 for x<0. Find the corresponding potential energy, constant A, and energy eigenvalue.

6. The hydrogen molecule H2 can be treated as a vibrating system (simple harmonic oscillator), with an effective force constant ? = 3.5 × 10^3 eV/nm2. Compute the zero-point (ground state) energy of
one of the protons in H2. How does it compare with the molecular binding energy of 4.5 eV? Compute the amplitude of the zero-point motion and compare with the atomic spacing of 0.074 nm.

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