We consider the time-dependent Schrödinger equation on a Riemannian manifold A with a potential that localizes a certain subspace of states close to a fixed submanifold C. When we scale the potential in the directions normal to C by a parameter [epsilon]<<1, the solutions concen…
We consider the time-dependent Schrödinger equation on a Riemannian manifold A with a potential that localizes a certain subspace of states close to a fixed submanifold C. When we scale the potential in the directions normal to C by a parameter [epsilon]<<1, the solutions concen…
"For the last 20-30 years, interest among mathematicians and physicists in infinite-dimensional Hamiltonian systems and Hamiltonian partial differential equations has been growing strongly, and many papers and a number of books have been written on integrable Hamiltonian PDEs. D…
Introduces the powerful and flexible combination of Hamiltonian operators and path integrals in quantum mathematics.
Introduces the powerful and flexible combination of Hamiltonian operators and path integrals in quantum mathematics.
Introduces the powerful and flexible combination of Hamiltonian operators and path integrals in quantum mathematics.
Introduces the powerful and flexible combination of Hamiltonian operators and path integrals in quantum mathematics.
