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[UPSC CSE 2003] Foundations of Quantum Mechanics (Q73, 10+10M)

(i) Explain what do you understand by Heisenberg uncertainty principle. Using this principle, determine the energy of the ground state of a one dimensional simple harmonic oscillator. (ii) An electron having an energy 2 eV is travelling in the region where V(x) varies as shown below:

Physics Diagram cse-q-5-135-fig-1

Calculate the de Broglie wavelength of the electron in regions I, II and III.

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