We show that the Clifford torus and the totally geodesic real projective plane ℝℙ2 in the complex projective plane ℂℙ2 are the unique Hamiltonian stable minimal Lagrangian compact surfaces of ℂℙ2 with ...

The Maslov index is a fundamental topological invariant that plays a critical role in the study of Hamiltonian systems. Originating from the realms of symplectic geometry and semi-classical analysis, ...

Spectral flow plays a pivotal role in understanding the stability properties of Hamiltonian systems. By counting the net number of eigenvalues that cross a critical threshold in a continuous family of ...

course overview review of Lagrangian, Hamiltonian and Hamilton-Jacobi formulation of classical mechanics conflicts with experiments key ideas in and coordinate formulation of quantum mechanics ...