Sphereical harmonics

Problem number 3 from the attached problem set

Expectation values of spin states

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Angular momentum

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A Charge particle of charge q and mass m undergoing simple 1D harmonic motion

A Charge particle of charge q and mass m undergoing simple 1D harmonic motion (Please refer to attached jpg)

Quantization

The muon is a subatomic particle with the same charge as an electron but with a mass that is 207 times greater. m_u = 207m_e. Physicists think of muons as "heavy electrons". However, the muon is not a stable particle; it decays with a half-life of 1.5 microseconds into an electron plus two neutrinos. Muons from cosmic rays are sometimes "captured" by the nuclei of the atoms in a solid. A captured muon orbits this nucleus, like an electron, until it decays. Because the muon is often captured into an excited oribt (n > 1), its presence can be detected by observing the photons emitted in transitions such as 2 --> 1 and 3 --> 1. Consider a muon captured by a carbon nucleus (Z = 6). Because o... click for more