Geometric phase and modulus relations for probability amplitudes as functions on complex parameter spaces

DOI10.1063/1.1612895zbMath1063.81053arXivmath-ph/0203044OpenAlexW2044332180MaRDI QIDQ4833181

Alonso Botero

Publication date: 14 December 2004

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0203044

Mathematics Subject Classification ID

Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) Applications of holomorphic fiber spaces to the sciences (32L81)

Related Items (3)

Geometrical and dynamical description of two interacting spins under the XXZ-type Heisenberg model ⋮ Various pointer states approaches to polar modular values ⋮ Geometrical description of the dynamics of entangled two-qubit states under \(U(2)\times U(2)\) local unitary operations

Cites Work

• Hermitian vector bundles and the equidistribution of the zeroes of their holomorphic section
• Berry’s phase for compact Lie groups
• Quantal phase factors accompanying adiabatic changes
• Geometry of quantum evolution
• Geometric quantum mechanics

This page was built for publication: Geometric phase and modulus relations for probability amplitudes as functions on complex parameter spaces