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Question #9431

Given that H=H0 + Hˈ, Where Hˈˈ= bx4 and b is constant. (i) Use Pertubation Theory to solve for the the first non-vanishing correction to the energy. (ii) Using exact solution repeat (i)

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**1.**The unpertubed Haniltonian of harmonic oscillator is given as: H0= P2/ 2m+ ½ mω**2.**calculate the lifetime for each of the four n=2 states of hydrogen**3.**Quantum mechanics stipulates that even at absolute zero an oscillator has a zero point energy of hv/**4.**1. A photon and an electron each has a de Broglie wavelength of 5nm. Compare their energies in eV(el**5.**what would hit the ground first if you shot a gun straight forward and dropped something like a tedd**6.**Consider a system of two spin 1/2 particles. Calculate the eigenvalue and eigenvectors of the operat**7.**the spin matrices for s=1 are given show that their squares sx^2,sy^2,sz^2 are commutative construct

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