For the case in exercise 4, write the one-particle (kinetic) operator in the Hamiltonian, in the occupation

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For the case in exercise 4, write the one-particle (kinetic) operator in the Hamiltonian, in the occupation number basis.

Data From Exercise 4:-

Consider five bosons with a one-body potential that can be approximated as harmonic oscillator. Write the wave function expansion in terms of harmonic oscillator states with \(n \leq 3\).

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