An exact formulation of the time-ordered exponential using path-sums

PL Giscard, K Lui, SJ Thwaite, D Jaksch - Journal of Mathematical …, 2015 - pubs.aip.org
We present the path-sum formulation for the time-ordered exponential of a time-dependent
matrix. The path-sum formulation gives the time-ordered exponential as a branched …

[PDF][PDF] Возможность переходов дробного рода и теплоемкость одномерной модели Изинга

ВН Удодов - Фундаментальные проблемы современного …, 2013 - researchgate.net
На основе точного решения впервые сделан вывод о том, что в одномерной
традиционной модели Изинга возможен фазовый переход (ФП) сколь угодно высокого …

Fermionic model with a non-Hermitian Hamiltonian

N Bebiano, J da Providência, S Nishiyama… - Brazilian Journal of …, 2020 - Springer
This paper deals with the mathematical spectral analysis and physical interpretation of a
fermionic system described by a non-Hermitian Hamiltonian possessing real eigenvalues. A …

[PDF][PDF] I. Context

PL Giscard, K Lui, SJ Thwaite, D Jaksch - researchgate.net
H (t) OE [H](t, t)= d dt OE [H](t, t)(1) such that OE [H](t, t)= I is the identity at all times. We take
H∈ Cn× n [I], n∈ N\{0}, to be a matrix depending smoothly on the continuous variable t∈ I …

The 1D Heisenberg antiferromagnet model by the variation after projection method

A Rabhi, M Brajczewska, P Schuck… - … Journal of Modern …, 2013 - World Scientific
The four site and eight site 1D anti-ferromagnetic Heisenberg chains in the Jordan–Wigner
representation are investigated within the standard Hartree–Fock and random phase …