CANONICAL FORM OF THE EVOLUTION OPERATOR OF A TIME-DEPENDENT HAMILTONIAN IN THE THREE LEVEL SYSTEM

DOI10.1142/S0219887811005312zbMath1223.81096arXiv1008.4624OpenAlexW2963392341MaRDI QIDQ3087431

Kazuyuki Fujii

Publication date: 16 August 2011

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.4624

zbMATH Keywords

flag manifoldRiccati equationsevolution operatorcanonical formphase equationsthree level system

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Grassmannians, Schubert varieties, flag manifolds (14M15) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Cites Work

• Introduction to Grassmann manifolds and quantum computation
• The Duistermaat–Heckman integration formula on flag manifolds
• REDUCED DYNAMICS FROM THE UNITARY GROUP TO SOME FLAG MANIFOLDS: INTERACTING MATRIX RICCATI EQUATIONS
• A GEOMETRIC PARAMETRIZATION OF THE CABIBBO–KOBAYASHI–MASKAWA MATRIX AND THE JARLSKOG INVARIANT

This page was built for publication: CANONICAL FORM OF THE EVOLUTION OPERATOR OF A TIME-DEPENDENT HAMILTONIAN IN THE THREE LEVEL SYSTEM