Post-Wick theorems for symbolic manipulation of second-quantized expressions in atomic many-body perturbation theory
نویسندگان
چکیده
منابع مشابه
Post-Wick theorems for symbolic manipulation of second-quantized expressions
Manipulating expressions in many-body perturbation theory becomes unwieldy with increasing order of the perturbation theory. Here I derive a set of theorems for efficient simplification of such expressions. The derived rules are specifically designed for implementing with symbolic algebra tools. As an illustration, we count the numbers of Brueckner–Goldstone diagrams in the first several orders...
متن کاملSymbolic Program for Generating the Many-body Perturbation-theory Formulas
The second quantized form of Rayleigh-Schrodinger perturbation theory is symbolically manipulated to derive many-body perturbation theory (MBPT) formulas for particle-hole excited states of closed shell atoms. The analytic results obtained from the symbolic code, written in Mathematica, will be presented for the lowest orders of MBPT. These results compare exactly with the results obtained by h...
متن کاملFinite-temperature second-order many-body perturbation theory revisited
We present an algebraic, nondiagrammatic derivation of finite-temperature second-order many-body perturbation theory [FT-MBPT(2)], using techniques and concepts accessible to theoretical chemical physicists. We give explicit expressions not just for the grand potential but particularly for the mean energy of an interacting many-electron system. The framework presented is suitable for computing ...
متن کاملDevelopment of Many-Body Perturbation Theory
The development of standard MBPT for single-reference and multi-reference cases is reviewed, and its extension to the relativistic case in the form of the Dirac-Coulomb-Breit (DCB) approximation is described. The latter scheme is non-covariant, and the recent development of a fully covariant MBPT scheme is discussed. This is based upon a new scheme for quantumelectrodynamical (QED) calculations...
متن کاملQuantum Many–Body Problems and Perturbation Theory
We show that the existence of algebraic forms of exactly-solvable A−B− C−D and G2, F4 Olshanetsky-Perelomov Hamiltonians allow to develop the algebraic perturbation theory, where corrections are computed by pure algebraic means. A classification of perturbations leading to such a perturbation theory based on representation theory of Lie algebras is given. In particular, this scheme admits an ex...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Physics B: Atomic, Molecular and Optical Physics
سال: 2010
ISSN: 0953-4075,1361-6455
DOI: 10.1088/0953-4075/43/7/074001