Perturbation theory & Approximation Methods

The normalized eigenstates of a particle in a one-dimensional potential well V(x) = 0if0≤x≤a otherwise are given by 4,(x) = where n = 1,2,3, sin(nx). The particle is subjected to a...

Consider a system in the unperturbed state described by the Hamiltonian, 0 1 0 0 1 H       . The system is subjected to a perturbation of the form H         , wh...

A pair of eigenvalues of the perturbed Hamiltonian, using first order perturbation theory, is (A) 3+2ε, 7+2ε (B) 3+2 ε, 2+ε (C) 3, 7+2 ε (D) 3, 2+2 ε 2013 PHYSICS - PH PH 11/13 Lin...

(A) Consider a spherical galaxy of total mass M and radius R, having a uniform matter distribution. In this idealized situation, the orbital speed v of a star of mass m (m « M) as ...

Following trial wavefunctions \phi1 = e-Z'(r1+r2) and \phi2 = e-Z'(r1+r2)(1 + g|r 1 - r 2|) are used to get a variational estimate of the ground state energy of the helium atom. Z'...