Perturbation Theory

Related BrainMass Solutions

• Perturbation theory

  8420 Perturbation Theory Equation Find the real roots of the equation x^5 + ex-1=0 approximately to O(e^2) usind perturbation theory.

• First order time dependent perturbation theory problem

  333999 Time dependent perturbation theory problem A system is in an eigenstate | psi_i > with energy E_i. The perturbation V(t) = H'exp(-((alpha)^2)(t^2)) is turned on at t_i = -infinity and left on until t_f = infinity.

• Perturbation theory applied to electron in a magnetic field

  From the exact solution we can see that if we treat the magnetic field in the x-direction as a perturbation, it will make a nonzero contribution to second order in perturbation theory.

• Perturbation Theory

  8410 Perturbation Theory Equation Find the real root of the equation x^5 + ex - 1= 0 approximately to O(^2) using perturbation theory. Solution.

• Delta function perturbation switched on and off

  We explain how, using first order time dependent perturbation theory, one can compute the transition probabilities. We give a rigorous proof that only transitions to odd n states are possible to all orders in perturbation theory.

• Perturbation Theory with Atoms

  Using degenerate perturbation theory, determine the first-order corrections to the energy. Into how many levels does E2 split? c. What are the "good" wave functions for in part (b)?

• Time dependent perturbation: electron spin problem

  theory, the transition probability for the spin flip can be computed.

• Singular perturbation theory

  In such cases, perturbation theory yields a non-regular series (one with non integral powers of epsilon).

• first-order energy correction in case of 1-D delta-function

  a) It is know from perturbation theory that first-order energy correction is where is some perturbation (in our case ) and is known and unperturbed wave function (in our case that is bound state wave function of 1-D delta-function potential