Quantum Mechanics and Reality
Move beyond pop-science metaphors to master the mathematical and physical reality of the subatomic world, from wavefunctions to quantum computing.
Like Duolingo, but for Quantum Mechanics and Reality. Tomo turns the whole topic into a game you play five minutes a day, until it actually sticks.
83 levels across 8 sections, about 166 minutes end to end, roughly 33 days at five minutes a day. It moves through The Quantum Signature, The Language of Waves, The Act of Measurement, Spooky Action & Information, Particles in Boxes, Spin and Symmetry, The Mathematical Engine, and Quantum Frontiers. It assumes you already know the basics.
Free forever · No credit card · iPhone & Android

Key ideas in Quantum Mechanics and Reality
- Electrons must jump a specific energy gap to move from the valence to the conduction band
- Stimulated emission creates a chain reaction of identical photons
- Applying a small voltage provides the energy needed for electrons to cross this quantum gap
- Coherence means the peaks and troughs of light waves align perfectly
- How semiconductors use quantum energy gaps to control electricity
- The quantum mechanisms that distinguish laser light from normal light
- Protons in the body align their spin with a powerful external magnetic field
- Electrons jumping between energy levels emit radiation at an incredibly stable frequency
- Radio frequency pulses knock the nuclei out of alignment at a specific resonance
- The second is defined as over 9 billion cycles of this specific quantum transition
- The rate at which nuclei return to alignment reveals the tissue type
- Quantum tunneling allows electrons to 'teleport' through thin insulating layers
- The sequence of nuclear magnetic resonance used in medical imaging
- Trapped electrons on a 'floating gate' represent a bit of data even without power
- The specific quantum event used to define time
- Quantum tunneling and floating gates
You've tried the other tabs
Thirty open tabs. Four facts you actually kept.
You watched. You nodded. By Sunday it was gone.
One answer, then back to scrolling.
Eight weeks. You meant to finish. You didn't.
Tomo gives Quantum Mechanics and Reality the Duolingo treatment: levels, streaks, and quick quizzes that test what you just learned. That game loop is what the tabs above never had, so it's the one you actually finish.
Here's what playing it feels like
A real question from this course. Take your best guess.
What happens during stimulated emission when a photon interacts with an energized atom?
Get it right to open this lesson and 82 more in the app.
How to learn Quantum Mechanics and Reality, step by step
Go in order. 83 short levels across 8 sections, about 2 hours 46 minutes in all, five minutes a day.
- 1
The Quantum Signature
- Quantum Tech in Your Pocket
- The Photoelectric Effect Re-examined
- 2
The Language of Waves
- Navigating the Wavefunction
- The Superposition Principle
- Probability Densities and Operators
- 3
The Act of Measurement
- Collapsing the Wavefunction
- Uncertainty as a Physical Limit
- Decoherence and the Classical Limit
- 4
Spooky Action & Information
- Entanglement and Bell's Theorem
- Quantum Teleportation
- Qubits and Quantum Logic
- 5
Particles in Boxes
- Bound States and Quantization
- Quantum Tunneling
- The Quantum Harmonic Oscillator
- 6
Spin and Symmetry
- Electron Spin and Stern-Gerlach
- Identical Particles and Pauli
- Fermions vs. Bosons
- 7
The Mathematical Engine
- The Schrödinger Equation
- Bra-Ket Notation and Hilbert Space
- 8
Quantum Frontiers
- Interpretations of Reality
- The Path to Quantum Fields
8 sections · 21 units · 83 levels. Built to play, not to enroll.
Questions about Quantum Mechanics and Reality
How do I learn Quantum Mechanics and Reality?
Go in order: start with The Quantum Signature, then The Language of Waves, then The Act of Measurement, then Spooky Action & Information, and 4 more sections after that. On Tomo that's 83 short levels, about 2 hours 46 minutes in all, played five minutes a day. Start free and play the first level in under a minute.
Is there a Duolingo-style app for Quantum Mechanics and Reality?
Yes. Tomo works like Duolingo: short daily lessons, streaks and quick quizzes. Quantum Mechanics and Reality is one of its free courses, and you can type any other topic to get a course of your own.
Is the Quantum Mechanics and Reality course free?
Yes. Quantum Mechanics and Reality is playable on Tomo's free plan, which doesn't expire. No credit card, no waitlist. Download the app and start your first lesson.
How long does it take to learn Quantum Mechanics and Reality?
83 levels across 8 sections, about 2 hours 46 minutes of play in total. It's built for five minutes a day, so you finish it a little at a time instead of all at once.
Do I need any background to start Quantum Mechanics and Reality?
No. It's pitched at an intermediate level, so it starts where you are and builds up. If you can tap a phone, you can start.
Tomo is in ChatGPT
Tomo is also a ChatGPT plugin: the same playable courses, built and played inside your chat.
Add Tomo to ChatGPT- What to ask
- “Make me a Tomo course on black holes.” “Turn this chat into a Tomo course.”
- What you get
- Quick questions with instant feedback, hearts and stars, ready to play in about a minute.
- Where it goes
- No sign-up to start. Connect your Tomo account and your streak carries on in the app.
You pick the voice
Quantum Mechanics and Reality is taught in the Bestie style: your friend who just gets it. Want a different feel? In the app you can spin up the same topic in any of Tomo's teaching styles. Same facts, totally different vibe.
More Science on Tomo
Quantum Mastery: From Paradox to Power
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Quantum Physics: The Rules of Reality
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Quantum Physics: The Rules of the Very Small
Explore the strange and beautiful world of the subatomic. From particles that exist in two places at once to the technology in your pocket, discover how the universe works when nobody is looking.
The Quantum World
Explore the counterintuitive rules that govern the universe at its smallest scales. Discover how superposition, entanglement, and quantum tunneling shape everyday technology and fuel the computing revolution.
Quantum Physics: From Experiment to Equation
Understand the non-intuitive rules of the quantum world through real experimental breakthroughs and foundational mathematics. Learn to calculate photon energies, predict wave-particle behaviors, and work with quantum state vectors.
Quantum Physics: Beyond the Basics
Move past the 'weirdness' and start predicting how the subatomic world actually behaves. Master the mechanics of superposition, entanglement, and the technology that makes modern life possible.
Start Quantum Mechanics and Reality today.
Download Tomo, search Quantum Mechanics and Reality, and play your first lesson in under a minute.