A note on free time evolution of the quantum wave function and optimal transportation

التفاصيل البيبلوغرافية
العنوان: A note on free time evolution of the quantum wave function and optimal transportation
المؤلفون: Morato, Laura M.
سنة النشر: 2022
المجموعة: Mathematics
Mathematical Physics
Quantum Physics
مصطلحات موضوعية: Mathematical Physics, Quantum Physics, 49Q22 35Q40 60H10
الوصف: It is shown that, in the absence of nodes and under regularity assumptions, a solution in a finite interval of time of the free Schroedinger equation solves a minimization problem which is a stochastic generalization of the classical optimal transportation problem with quadratic cost.
Comment: 14 pages
نوع الوثيقة: Working Paper
DOI: 10.1063/5.0105914
URL الوصول: http://arxiv.org/abs/2206.04338
رقم الأكسشن: edsarx.2206.04338
قاعدة البيانات: arXiv