Flexible Ansatz for <i>N</i>-Body Perturbation Theory
Ramón Alain Miranda‐Quintana, Taewon D. Kim, Rugwed A. Lokhande, Michelle Richer, Gabriela Sánchez‐Díaz, Pratiksha B. Gaikwad, Paul W. Ayers
Abstract
We propose a new perturbation theory framework that can be used to help with the projective solution of the Schrödinger equation for arbitrary wave functions. This Flexible Ansatz for N -body Perturbation Theory (FANPT) is based on our previously proposed Flexible Ansatz for the N -body Configuration Interaction (FANCI). We derive recursive FANPT expressions, including arbitrary orders in the perturbation hierarchy. We show that the FANPT equations are well-behaved across a wide range of conditions, including static correlation-dominated configurations and highly nonlinear wave functions.
Topics & Concepts
AnsatzPerturbation (astronomy)Perturbation theory (quantum mechanics)Nonlinear systemWave functionPhysicsPoincaré–Lindstedt methodHierarchyMathematicsClassical mechanicsMathematical analysisMathematical physicsQuantum mechanicsEconomicsMarket economyPhysics of Superconductivity and MagnetismCold Atom Physics and Bose-Einstein CondensatesQuantum, superfluid, helium dynamics