PHYSICS 137B Midterm: physics137B-sp2016-mt1-Mueller-exam
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1 little calculation needed: [5 points] two neutrons (spin 1/2) are in the ground state of a harmonic oscillator potential. Does the energy of the system go up or down? d. [5 points] calculate the correction (1) to the ground state in rst-order perturbation theory for the system in part c. Consider a hydrogen atom in a state |n, l, m , neglecting ne structure or hyper ne structure. It has been suggested1 that the higgs eld leads to an additional potential between the proton and the electron of the form. V (r) = a e r/ r where a and are constants. This yukawa po- tential is typical for interactions mediated by massive particles. a. Delaunay, r. ozeri, g. perez, and y. soreq, prob- ing the atomic higgs force. e-print: arxiv:1601. 05087. Consider a system with three eigenstates | j (j = 1, 2, 3). The hamiltonian of this system can be written as.
