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Hamiltonian operator and calculation of force

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1] Write down the Hamiltonian operator for the following problems:
a. Particle in a box (of length L)
b. Free Particle
c. Harmonic oscillator

2] In the infrared spectrum of H79Br there is an intense line at 2.60 X 10^3 cm^-1. Calculate the force constant of H^79Br and the period of vibration.

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