On equations of motion on compact Hermitian symmetric spaces

DOI10.1063/1.529700zbMath0837.53055OpenAlexW2167505533MaRDI QIDQ4008251

Stefan Berceanu, Alexandru Cezar Gheorghe

Publication date: 27 September 1992

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

Full work available at URL: https://doi.org/10.1063/1.529700

zbMATH Keywords

equations of motionHermitian symmetric spacequantum evolutioncoherent state manifold

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Coherent states (81R30) Local differential geometry of Hermitian and Kählerian structures (53B35)

Related Items

A CONVENIENT COORDINATIZATION OF SIEGEL–JACOBI DOMAINS, CONSEQUENCES OF THE FUNDAMENTAL CONJECTURE FOR THE MOTION ON THE SIEGEL–JACOBI DISK, The real Jacobi group revisited, A HOLOMORPHIC REPRESENTATION OF THE JACOBI ALGEBRA, Mean-field theory based on the Jacobi hsp ≔ semidirect sum hN⋊sp(2N,R)C algebra of boson operators, Linear dynamical systems, coherent state manifolds, flows, and matrix Riccati equation, $\frac{{\rm SO}(2N)}{U(N)}$ Riccati–Hartree–Bogoliubov equation based on the SO(2N) Lie algebra of the fermion operators

Cites Work

• Models of Gross-Neveu type are quantization of a classical mechanics with nonlinear phase space
• Instanton-like solutions in chiral models
• Homogeneous Kähler manifolds: Paving the way towards new supersymmetric sigma models
• Coherent states for arbitrary Lie group
• Lie and Morse theory for periodic orbits of vector fields and matrix Riccati equations, II
• VECTOR COHERENT STATES AND NON-ABELIAN GAUGE STRUCTURES IN QUANTUM MECHANICS
• Quantal phase factors accompanying adiabatic changes
• Phase Portrait of the Matrix Riccati Equation
• On the construction of perfect Morse functions on compact manifolds of coherent states
• Generalized coherent states and Berry’s phase
• A note on coherent state representations of Lie groups
• Exceptional Lie algebras in terms of fermionic creation–annihilation operators
• Global aspects of the matrix Riccati equation
• The action of a real semisimple group on a complex flag manifold. I: Orbit structure and holomorphic arc components
• Closed Manifolds with Homogeneous Complex Structure
• Kählerian Coset Spaces of Semisimple Lie Groups