(i) What is the Hamiltonian in quantum mechanics, and how is it constructed for a given system? Illustrate your answer by showing that the Hamiltonian for a one-dimensional simple harmonic oscillator, of mass m and force constant k, is given by: h? d 2m dx? 2 k +

(i) What is the Hamiltonian in quantum mechanics, and how is it constructed for a given system? Illustrate your answer by showing that the Hamiltonian for a one-dimensional simple harmonic oscillator, of mass m and force constant k, is given by: h? d 2m dx? 2 k +

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Question

(а)
(i)
What is the Hamiltonian in quantum mechanics, and how is it
constructed for a given system? Illustrate your answer by showing
that the Hamiltonian for a one-dimensional simple harmonic
oscillator, of mass m and force constant k, is given by:
h? d
Ĥ =-
k
+x2
2m dx? 2

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