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: quantum mechanics experiments.
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 | 135, 22k, 336
- Physics | 276, 29k, 500
- Natural science | 0, 37k, 827
- Science | 0, 41k, 938
- Ciro Santilli's Homepage | 238, 154k, 2k
- Bra-ket notation | 182
- Derivation of the Klein-Gordon | 253
- Dirac delta function | 75
- Double-slit experiment | 93, 449, 2
- Entropy | 118
- Hilbert space | 34
- Lebesgue integral of is complete but Riemann isn't | 89, 547, 7
- Non-relativistic quantum mechanics | 26, 3k, 39
- Perturbation theory | 72
- Phase-space formulation | 16
- Quantum computers as experiments that are hard to predict outcomes | 224
- Quantum electrodynamics | 640, 3k, 19
- Real world applications of the Lebesgue integral | 67
- Relativistic quantum mechanics | 95, 8k, 110
- Schrodinger equation | 167, 3k, 38
- Spectral line | 139, 566, 7
- Tobias J. Osborne | 31
- ViaScience | 84