Stochastic nonlinear wave equations and Schrödinger equations represent a fascinating confluence of probability theory and the analysis of partial differential equations. By incorporating random ...

Bose–Einstein condensates (BECs) represent a unique state of matter in which dilute gases of bosons cooled to temperatures near absolute zero coalesce into a single macroscopic quantum state. Their ...

Schrodinger's equation is usually treated as a postulate, and IMHO that's the best approach, rather than some kind of derivation based on chronologically earlier, but less general, principles and ...

Proceedings of the National Academy of Sciences of the United States of America, Vol. 94, No. 17 (Aug. 19, 1997), pp. 8936-8938 (3 pages) ...

Development of the theory of partial differential equations (PDEs) was one of the key influences behind the scientific revolution of the late 19th-century as it brought a powerful quantitative tool ...

Join us, October 26, 27 and 28, 2022, for our new lecture series named after Vladimir Marchenko, a Ukrainian mathematician who specializes in mathematical physics. Marchenko's seminal contributions to ...

We present a convergence analysis for exponential splitting methods applied to linear evolution equations. Our main result states that the classical order of the splitting method is retained in a ...

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 ...