Quantum mechanics is quite a broad term. Perhaps it is best to start approaching it from the division into:
- non-relativistic quantum mechanics: obviously the simpler one, and where you should start
- relativistic quantum mechanics: more advanced, and arguably "less useful"
Key experiments that could not work without quantum mechanics: Section 1. "Quantum mechanics experiment".
Mathematics: there are a few models of increasing precision which could all be called "quantum mechanics":
Ciro Santilli feels that the largest technological revolutions since the 1950's have been quantum related, and will continue to be for a while, from deeper understanding of chemistry and materials to quantum computing, understanding and controlling quantum systems is where the most interesting frontier of technology lies.
- Particle physics | 137, 32k, 512
- Physics | 276, 46k, 825
- Natural science | 0, 61k, 2k
- Science | 0, 66k, 2k
- Ciro Santilli's Homepage | 262, 218k, 4k
- Bra-ket notation | 472
- Classical mechanics | 18, 30, 1
- Continuous spectrum | 103
- Derivation of the Klein-Gordon | 253
- Dirac delta function | 83, 83, 2
- Distribution | 182, 265, 3
- Double-slit experiment | 93, 474, 3
- Entropy | 120
- Half-life | 137
- Hilbert space | 34, 184, 1
- History of quantum mechanics | 488, 488, 1
- Inward Bound by Abraham Pais (1988) | 55
- Lebesgue integral of is complete but Riemann isn't | 91, 805, 11
- Matrix mechanics | 225, 292, 2
- Maxwell's equations in curved spacetime | 47
- Maxwell's equations with pointlike particles | 105
- Non-relativistic quantum mechanics | 26, 5k, 66
- Perturbation theory | 74
- Phase-space formulation | 16
- Position and momentum space | 187, 435, 4
- Quantum computers as experiments that are hard to predict outcomes | 224
- Quantum electrodynamics | 683, 3k, 29
- Real world applications of the Lebesgue integral | 71
- Relativistic quantum mechanics | 99, 10k, 149
- Richard Feynman | 554, 2k, 15
- Schrödinger equation | 555, 5k, 60
- Spectral line | 165, 1k, 11
- The Fourier transform is a bijection in | 87
- Tobias J. Osborne | 33
- ViaScience | 90
- Wheeler-Feynman absorber theory | 24