Hi all — here’s my take on the “Twisted Children’s Shows” edition of Sketchwar.
FADE IN:
INT. LAB – DAY
Note: this is all animated. Think “Schoolhouse Rock.”
VINH, a little boy, approaches DR. PHYSICS, an old scientist in a lab coat.
VINH
Dr. Physics?
DR. PHYSICS
Yes, Vinh?
VINH
I heard about something called “quantum physics” -- but I don’t know what it is!
DR. PHYSICS
Well, then, Vinh -- let me introduce you to a friend of mine!
The HAMILTONIAN -- an excitable little poofball of fire with arms, legs, and googly eyes -- appears.
HAMILTONIAN
Hey, Vinh, let’s start by looking at the finite barrier quantum well!
VINH
The what?
He takes Vinh’s hand and they start flying away --
VINH
I don’t want to go in the well!
Poof! They appear in --
INT. FINITE-BARRIER WELL – NIGHT
-- a deep well illuminated by glowy shapes.
VINH
Who are you?!
Music starts up. [It will continue throughout.]
HAMILTONIAN
(singing)
I’m a Hamiltonian, the system’s energy / Potentials and derivatives together equals me! / And if it never changes, then the answer’s gonna be / Somethin’ that we’re about to see!
Meanwhile, Vinh bangs on the walls.
VINH
Stupid! Finite! Barrier!
Some unseen BACKGROUND SINGERS start singing.
This frightens Vinh.
BACKGROUND SINGERS (O.S.)
The wavefunction’s time derivative / Equals the wavefunction’s second spatial derivative / Plus the wavefunction times potential e-ner-gy! / It’s as easy as that!
VINH
Where are those voices coming from?
HAMILTONIAN
No time for that, little Vinh. We’ve got to introduce you to my friend!
VINH
I don’t want to meet your --
A little matrix appears -- the EIGENVECTOR. Again, it has arms, legs, and googly eyes.
EIGENVECTOR
Hi, Vinh!
VINH
What is that?!
The screen stretches, skews, and distorts.
Everything but the eigenvector stretches with it.
Vinh does not like being distorted.
VINH
AAAAH!
EIGENVECTOR
(singing)
I’m a math solution, eigenvector is my name! / And under transformations, my direction stays the same!
VINH
Stop stretching me! Ow! OW!
EIGENVECTOR
(singing)
I solve the Hamiltonian, and that’s my claim to fame, / But that’s just part of the game!
The screen stops distorting.
EIGENVECTOR
And that solution is called “eigenenergy.”
VINH
Eigen-what?
EIGENVECTOR
Now you’re getting it!
VINH
No I’m not!
BACKGROUND SINGERS (O.S.)
The eigenergies are quantized solutions / To the reduced eigenequation / Of the original Hamiltonian / It’s as easy as that!
Vinh looks around in vain for the singers.
VINH
What’s a reduced -- what?
HAMILTONIAN
I’d say he’s still confused.
EIGENVECTOR
Time to bring in the big guy.
VINH
I don’t want to see the big guy!
A giant mass of mathematical symbols -- Schrödinger’s EQUATION -- floats down. Again: arms, legs, googly eyes.
EQUATION
(singing)
I’m Schrödinger’s equation, Vinh, and here’s what I equate: / How a system over time will change around its quantum state / I can tell you where it started and I know about its fate / Quantum physics is great --
EVERYONE BUT VINH
(singing)
And it’s as easy as that!
Poof! The well and its denizens disappear.
INT. LAB – DAY
Vinh falls down to the floor next to Dr. Physics.
VINH
Ow!
DR. PHYSICS
Do you understand now, Vinh?
VINH
No! It’s weird! And it makes no sense to me!
DR. PHYSICS
Don’t worry, Vinh.
He pats Vinh on the back.
DR. PHYSICS
Quantum physics makes no sense to scientists, either.
BACKGROUND SINGERS (O.S.)
It’s as easy as that!
FADE OUT.