Euler and Schrödinger Equations - Turning Points in Complex Mathematics and Physics

Explore the historical significance of Euler's and Schrödinger's equations in a 43-minute lecture from the HyperComplex Seminar series. Delve into the evolution of complex numbers in mathematics and physics, from their sporadic use before Euler to their central role in modern quantum mechanics. Examine how Euler's "Introductio in Analysin Innitorum" (1749) revolutionized the use of complex numbers in elementary analytic functions, and how Schrödinger later applied them to formulate the laws of non-relativistic quantum mechanics. Learn about recent advancements in quantum chemistry, where the Schrödinger equation is being applied to systems with approximately 3000 electrons, and discover the effective calculation methods developed by an emeritus engineer from Bielsko-Biała.