Integral representations of the Schrödinger propagator
DOI10.1016/S0034-4877(08)00020-7zbMath1214.35015OpenAlexW1982189033MaRDI QIDQ2270477
Paolo Guiotto, Franco Cardin, Lorenzo Zanelli
Publication date: 28 July 2009
Published in: Reports on Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0034-4877(08)00020-7
symplectic geometrypath integralsSchrödinger equationsemigroup of linear operatorsoscillatory integrals
Integral representations of solutions to PDEs (35C15) Groups and semigroups of linear operators (47D03) General theory of partial differential operators (47F05) Schrödinger operator, Schrödinger equation (35J10)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Symplectic topology as the geometry of generating functions
- The Schrödinger propagator for scattering metrics
- Uniform convergence of the Lie-Dyson expansion with respect to the Planck constant
- Semigroups of linear operators and applications to partial differential equations
- A complete proof of Viterbo's uniqueness theorem on generating functions
- Symplectic geometry: an introduction based on the seminar in Bern, 1992
- Feynman path integrals for polynomially growing potentials
- Global world functions
- Feynman path integrals on phase space and the metaplectic representation
- Fourier integral operators. I
- Dispersive estimates for Schrödinger equations with threshold resonance and eigenvalue
- GLOBAL $h$ FOURIER INTEGRAL OPERATORS WITH COMPLEX-VALUED PHASE FUNCTIONS
- A new path integral representation for the solutions of the Schrödinger, heat and stochastic Schrödinger equations
- Critical conditions for a stable molecular structure
- GLOBAL FOURIER INTEGRAL OPERATORS AND SEMICLASSICAL ASYMPTOTICS
- Global L 2-Boundedness Theorems for a Class of Fourier Integral Operators
- Periodic solutions of asymptotically linear Hamiltonian systems
- Fourier integral operators
- On the fundamental solution of semiclassical Schrödinger equations at resonant times
- An introduction to semiclassical and microlocal analysis
This page was built for publication: Integral representations of the Schrödinger propagator
