From 70afc56db0f963891119b9bd7a7d575b7a7167e5 Mon Sep 17 00:00:00 2001 From: othocaes Date: Tue, 29 Mar 2016 14:00:53 -0400 Subject: [PATCH] hydrogen atom lecture --- lecture_notes/3-28/hydrogen atom | 18 ++++++++++++++++++ lecture_notes/3-28/overview | 1 + 2 files changed, 19 insertions(+) create mode 100644 lecture_notes/3-28/hydrogen atom create mode 100644 lecture_notes/3-28/overview diff --git a/lecture_notes/3-28/hydrogen atom b/lecture_notes/3-28/hydrogen atom new file mode 100644 index 0000000..3e8b813 --- /dev/null +++ b/lecture_notes/3-28/hydrogen atom @@ -0,0 +1,18 @@ +Theory of the Hydrogen Atom +━━━━━━━━━━━━━━━━━━━━━━━━━━━━ + + Derived from first principles the wave equation of an electron in the hydrogen atom. + + -Start with Dirac Notation + - Replace with known general functions + - transform to eigenvalue equation in position space + - replace pieces with function F and find derivatives + F = ∑ Cₖρᵏ + + pic 3 first take had factors that needed to be fixed + + - Led to the Laguerre Polynomials + These are infinite, though, so + - Force Laguerre Polynomial solutions to truncate + + - \ No newline at end of file diff --git a/lecture_notes/3-28/overview b/lecture_notes/3-28/overview new file mode 100644 index 0000000..fdbe063 --- /dev/null +++ b/lecture_notes/3-28/overview @@ -0,0 +1 @@ +Developed Theory for The Hydrogen Atom