Conservation of connectivity of model-space effective interactions under a class of similarity transformation
Chang-Kui Duan, Yungui Gong, Hui-Ning Dong, Michael F. Reid
Abstract
Effective interaction operators usually act on a restricted model space and give the same energies (for Hamiltonian) and matrix elements (for transition operators etc.) as those of the original operators between the corresponding true eigenstates. Various types of effective operators are possible. Those well defined effective operators have been shown being related to each other by similarity transformation. Some of the effective operators have been shown to have connected-diagram expansions. It is shown in this paper that under a class of very general similarity transformations, the connectivity is conserved. The similarity transformation between hermitian and non-hermitian Rayleigh-Schrödinger perturbative effective operators is one of such transformation and hence the connectivity can be deducted from each other.
Create a lesson
Related papers
Discovering like a scientist: Literature-informed dimensionless learning for physical closure of data-driven equations
Hao Xu, Tianhao Wu, Dongxiao Zhang
Identifying the Shear Piezoelectric Coefficient using Physics-Informed Neural Networks under Exact Boundary and Initial Constraints
Suhas Suresh Bharadwaj
Fracture-Bench: A Controlled Benchmark Suite for Machine Learning Surrogates in Phase-Field Fracture Mechanics
Meenu Krishnan U., Maryam Hakimzadeh, Indrashish Saha et al.
Noise-resilient collective order through temporal memory in self-propelled particles
Mihir Durve, Sauro Succi, Antonio Celani
Site-orbit masked twin-branch Transformer for symmetry-constrained crystal generation
Junchi Liu, Haoran Si, Luo Yan et al.
Maximal correlation and optimal transformations of probability distributions in tensor-train format: a variational algorithm
Kayo Kinjo, Jun Ohkubo