抒情短诗
发表于 2025-3-25 04:47:09
Organiser l’amériolation continueThe weird behavior of indistinguishable particles is discussed. They found a way to completely hide their individual identities. Then we show how particles can simultaneously exist and not exist in Fock space. Finally, the density operator is used to make QM even more probabilistic.
fructose
发表于 2025-3-25 10:36:44
http://reply.papertrans.cn/24/2350/234966/234966_22.png
惰性女人
发表于 2025-3-25 15:41:10
http://reply.papertrans.cn/24/2350/234966/234966_23.png
孤僻
发表于 2025-3-25 16:14:35
Introduction: Nonlocal or Unreal?Via Bell’s inequality, it is shown that a world described by quantum mechanics must be either nonlocal or unreal, and what that even means.
Nebulizer
发表于 2025-3-25 22:08:37
http://reply.papertrans.cn/24/2350/234966/234966_25.png
平庸的人或物
发表于 2025-3-26 00:50:15
Formalism II: Infinite-Dimensional Hilbert SpacesThe weird formalism of QM is extended to function spaces. Wave functions and the Schrödinger equation in position space are introduced. On the way, we explain why basis vectors don’t need to be elements of the space they are a basis of.
惹人反感
发表于 2025-3-26 06:25:40
InterpretationsSeveral interpretations of the QM formalism are discussed, in particular the Many Worlds Interpretation, the Copenhagen Interpretation, and Bohmian Mechanics.
GROG
发表于 2025-3-26 08:38:54
One-Dimensional ProblemsTypical features of solutions of the Schrödinger equation in position space are investigated, using the simplest possible potentials in one dimension. As a highlight, we solve the harmonic oscillator with algebraic methods.
Pelvic-Floor
发表于 2025-3-26 13:58:57
Two-Dimensional SystemsThis is just a stopover between one and three dimensions. It allows for a simplified introduction into rotation symmetric potential, angular momentum, and separation of variables.
Nebulizer
发表于 2025-3-26 17:59:51
Three-Dimensional SystemsThe behavior of wave functions in three dimensions is investigated, with a focus on angular momentum and spherically symmetric potentials. As a highlight, we determine the energy levels of the hydrogen atom. Again, algebraic methods turn out to be very useful and elegant.