We prove Strichartz estimates with fractional loss of derivatives for the Schrödinger equation on any Riemannian compact manifold. As a consequence we infer low regularity local wellposedness results ...

Physicists have proposed modifications to the infamous Schrödinger's cat paradox that could help explain why quantum particles can exist in more than one state simultaneously, while large objects ...

As an important model in quantum semiconductor devices, the Schrödinger-Poisson equations have generated widespread interests in both analysis and numerical simulations in recent years. In this paper, ...

Catalog : EECE.5080 Quantum Electronics for Engineers (Formerly 16.508) EECE.5080 — Graduate Id: 003264 Offering: 1 Credits: 3-3 Description Introduction to the fundamental postulates of quantum ...

These differential equations, such as Schrodinger's, can be solved analytically on a small scale, testing the dynamics of two particles, like electrons.