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The Hamiltonian of a relativistic partide can be approximated by. p² H= +V+H? 2m where p4 8m³c² Using first order time-independent perturbation theory,

The Hamiltonian of a relativistic partide can be approximated by. p² H= +V+H? 2m where p4 8m³c² Using first order time-independent perturbation theory,

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The Hamiltonian of a relativistic partide can be approximated by. p² H= +V+H} 2m where H³ = - Using first order time-independent perturbation theory. show that the 1 order energy correction is given by E₁= (E²-2E <V) + <V²>) where the expectation values are taken the unperturbed (and undegenerate) state P² 2m p4 8m3c2 2mc² 14) + V14>= E|VY with respect to lys that satisfies
Transcribed Image Text:The Hamiltonian of a relativistic partide can be approximated by. p² H= +V+H} 2m where H³ = - Using first order time-independent perturbation theory. show that the 1 order energy correction is given by E₁= (E²-2E <V) + <V²>) where the expectation values are taken the unperturbed (and undegenerate) state P² 2m p4 8m3c2 2mc² 14) + V14>= E|VY with respect to lys that satisfies
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