Monroe 发表于 2025-3-21 16:30:53
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Free Particles,ic situations, particles interact with force fields and other particles and can only be detected through their interaction with some measurement device. Nevertheless, a good understanding of the free motion is important, for example, for the asymptotic description of interacting particles in scatterGeyser 发表于 2025-3-22 06:02:15
States and Observables, Hilbert space with a physical system. The vectors in that Hilbert space (or rather the one-dimensional subspaces spanned by these vectors) describe the possible states of the system. Certain linear operators correspond to the physically observable quantities. The expectation value of an observable睨视 发表于 2025-3-22 09:26:19
Boundary Conditions,y electrostatic forces (which would have to be infinitely strong and concentrated on the surface of the obstacle), it is more appropriate to interpret an impenetrable barrier as a boundary condition. Starting with the simplest example—a solid wall in one dimension—we discuss Dirichlet boundary condi极微小 发表于 2025-3-22 14:31:07
Linear Operators in Hilbert Spaces, properties. In particular, we are going to describe the time evolution and, more generally, symmetry transformations and their generators..Time evolution according to the Schrödinger equation has the property that it conserves the norm of wave packets. In mathematical terms, the relation between th诱导 发表于 2025-3-22 18:34:53
Harmonic Oscillator, every textbook in order to demonstrate some general principles by explicit calculations. In some respect, the classical and quantum properties of the harmonic oscillator are similar. For example, the classical observation that the oscillation frequency does not depend on the amplitude corresponds t减至最低 发表于 2025-3-22 23:12:29
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One-Dimensional Scattering Theory,in an approximately finite region for all times or the particle escapes toward infinity and behaves asymptotically like a free particle. Here we treat the latter case..We only consider the simplest case of a scattering process in one dimension. A particle is shot toward a target which is representedmosque 发表于 2025-3-23 08:34:22
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