Abstract phase space describes system particle momenta and positions. Wavefunctions describe possible system particle positions and momenta states {state vector} {quantum state}. For example, in a system, a single particle has constant momentum and two possible positions. System has two (non-interacting) state wavefunctions, S1 and S2, with different probabilities depending on wave amplitude at the state, c1 and c2. Wavefunction W is sum of each state's amplitude times state wavefunction: W = c1 * S1 + c2 * S2. System wavefunction is a superposition of weighted state wavefunctions.
multiple particles
Particles have state wavefunctions at all possible positions and momenta. Particles can be independent or interact. If they are independent, particle wavefunctions multiply to make (linear) tensor products. Phase is not important for bosons, and tensor product commutes. Phase is important for fermions, and tensor product does not commute. If particles interact, system has entangled wavefunction.
Physical Sciences>Physics>Quantum Mechanics>Wavefunction
5-Physics-Quantum Mechanics-Wavefunction
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Date Modified: 2022.0224