Physics
Condensed-phase physics, quantum mechanics, classical mechanics, and dynamical systems. Interactive articles with simulations.
The Double-Slit Experiment: Wave-Particle Duality Made Visible
Richard Feynman called the double-slit experiment „a phenomenon which is impossible to explain in any classical way, and which has in it the heart of quantum mechanics.“ The experiment demonstrates that individual particles — electrons, photons, even molecules — produce an interference pattern when passing through two slits, as if each particle interferes with itself. The pattern vanishes when „which-path“ information is obtained.
The video below shows the famous Hitachi/Tonomura experiment (1989) — single electrons fired one at a time through a biprism. Each electron arrives as a discrete dot; over time, the dots build up the characteristic interference fringes. This experiment was voted „the most beautiful experiment in physics“ by Physics World readers in 2002.
Key Papers and References
- Tonomura, A. et al. „Demonstration of single-electron buildup of an interference pattern.“ American Journal of Physics 57 (1989): 117–120.
- Bach, R. et al. „Controlled double-slit electron diffraction.“ New J. Phys. 15 (2013): 033018. arXiv:1210.6243
- Frabboni, S. et al. „The Young-Feynman two-slits experiment with single electrons.“ arXiv:0706.2057
- Arndt, M. et al. „Wave-particle duality of C60 molecules.“ Nature 401 (1999): 680–682.
- Nairz, O. et al. „Quantum interference experiments with large molecules.“ American Journal of Physics 71 (2003): 319–325. arXiv:quant-ph/0208023
- Schlosshauer, M. „Decoherence, the measurement problem, and interpretations of quantum mechanics.“ arXiv:quant-ph/0312059
- Hitachi R&D — Double-slit experiment
Tomáš Mančal — A Reflection on Two Paths to Quantum Mechanics
The lecture explores two routes to fully-fledged quantum mechanics, whose centenary — 1925 and 1926 — we are celebrating. It compares Heisenberg’s modus operandi, rooted in the extension of Hamilton-Jacobi mechanics and a philosophically motivated renunciation of the concept of state, with Schrödinger’s path, which also proceeds via a limit — in this case the eikonal equation — towards a generalised wave equation and the introduction of the concept of state in an entirely new context.
The lecture reveals the naturalness of the transition: in the classical limit, almost everything was already in place — save for the paradigmatic leap that the quantum conception demands. It traces both the technical dimension of the passage and the broader theme of how history is treated in physics (and ultimately in every discipline) — internal myth versus the history of historians. Everything unfolds with technical richness on one hand and philosophical, even paradoxical, depth on the other.
The Three Standard Models
Physics is not one field but three interlocking theoretical structures, each built to govern a different scale of reality. All three are models — human frameworks for navigating what cannot be solved exactly. All three are incomplete in precise, known ways. All three are among the most precisely tested constructions in the history of science.
Standard Model of Atomic and Molecular Physics
The quantum mechanics of many-electron systems — from Dirac’s 1929 recognition that the laws are known but the equations unsolvable, through the hierarchy of controlled approximations (Born–Oppenheimer, Hartree–Fock, DFT, DMFT), to the frontier problems of strongly correlated electrons: heavy fermionic systems and high-temperature superconductors.
Sub-sections: Heavy Fermionic Systems · High-Temperature Superconductivity
Standard Model of Particle Physics
The quantum field theory of elementary particles and their interactions — electroweak unification, quantum chromodynamics, the Higgs mechanism. The most precisely tested theory in science, and still manifestly incomplete: no gravity, no dark matter, no explanation of the matter–antimatter asymmetry.
Content in preparation.
Standard Model of Cosmology
The ΛCDM model — Lambda Cold Dark Matter — describing the large-scale structure and evolution of the universe. Inflation, the cosmic microwave background, nucleosynthesis, structure formation. Built on general relativity, confirmed to high precision by Planck and SDSS, yet dependent on two completely unidentified constituents: dark matter (27%) and dark energy (68%).
Content in preparation.