Applications of a metaplectic calculus to Schrödinger evolutions with non-self-adjoint generators
Résumé
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.
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