A simple iterative method to write the terms of any order of perturbation theory in quantum mechanics

作者：Bracci L^*; Picasso L E

来源：European Physical Journal Plus, 2012, 127(10): 119.

DOI：10.1140/epjp/i2012-12119-6

The obvious fact that the eigenfunctions psi(lambda) of the Hamiltonian H(lambda) = H-0 + lambda V are determined up to a phase factor exp(i alpha(lambda)) can be used to exhibit a simple method to find the correction epsilon(n) of order n to a non-degenerate energy level. Rules are given to write down all the terms which build up epsilon(n) in terms of epsilon(k), k %26lt;= n - 2, and series of matrix elements of the perturbation V.

• 出版日期2012-10