A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL.
The file type is
Applications of a metaplectic calculus to Schrödinger evolutions with non-self-adjoint generators Abstract We review the calculus of metaplectic operators and shifts in phase space applied to Gaussian wave packets. Using holomorphic extensions of this calculus, one can reduce the L 2 theory of evolution equations with non-selfadjoint quadratic generators to symplectic linear algebra. We illustrate these methods through an application to the quantum harmonic oscillator with complex perturbation ix.doi:10.5802/jedp.671 fatcat:5zooyb6jnje3jhgqmect3nlv6q