The Meaning of Basic Time Evolution in Quatum Mechanics
Beginning with only the notion of a quantum system whose observables all vary harmonically with time and the canonical commutation relationship, one can fully derive the wonted Quantum Harmonic Oscillator.
I explain how one photon relates to Maxwell’s equations and the classical theories of light.
More on how classical optics is embedded in the larger whole of modern quantum theory.
A quantum system’s properties and measurements are very different, as explained here.
How does classical physics “continuously deform” into quantum physics: I explain how classical physics becomes seen to be embedded in the larger whole of modern quantum theory.
It seems they’re still teaching the outdated idea that light is sometimes a wave and sometimes a particle but never both at once. Here’s how the second-quantised electromagnetic field gets rid of this outdated idea.
I explain why infinities in quantum mechanics don’t worry me as much as they used to.
On the taming of Dirac Deltas, Infinite Plane Waves and other monsters.
On the fundamental equivalence of these two concepts
I look at why these concepts are central to the mathematics of quantum mechanics
Do you find quantum mechanics baffling? Have you ever thought that simply doing everything by “simple” classical statistics and probability theory might be more concrete and easier? Think again!
A mixed quantum state is more complicated than a pure state. Here I illustrate this concept with the Wigner’s Friend thought experiment and show how its analysis is deftly handled by the density matrix approach.
Of course not! But Maxwell’s equations and the Lorentz transformation do indeed constrain the Planck Law’s form.
The atomic state transitions that give rise to absorption spectrums do not happen instantaneously: Wigner-Weisskopf theory is the description of how this all happens smoothly, albeit fantastically swiftly.