By: Argielou A. Flores, MSU-IIT Show that Solution: Given the following: So if normalize is given we can then obtain using ladder operator as shown below, Taking its inner product we have, Note that, where with eigenvalue Going on, we now have where for normalized and By this we obtain the normalization constant […]

## Archive for May 21st, 2019

### Expressing nth-eigenstate in terms of the zeroth using ladder operator

Tuesday, May 21st, 2019Posted in Quantum Science Philippines **|** No Comments »

### Derivation of the gyromagnetic ratio of electron

Tuesday, May 21st, 2019By: Argielou A. Flores, MSU-IIT Derive the gyromagnetic ratio, , of electron Solution: The magnitude of the magnetic moment of a current loop, where is the current, is the area enclosed For an electron with frequency , in a circular orbit of radius , it has a current and area of, Substituting these, […]

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### Angular Momentum: Show that [Lz,Lx] = iħLy.

Tuesday, May 21st, 2019By: Jenard B. Cerbanez, MS Physics I, MSU-IIT Show that ħ Solution: Given that, , where , Thus, however, . Now we are left with the terms, where Therefore, ħ, where ħ (Canonical Commutator).

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### Angular Momentum: Show that [Lx,Ly] = iħLz

Tuesday, May 21st, 2019By: Jenard B. Cerbanez, MS Physics I, MSU-IIT Show that ħ Solution: Given that, , where , Thus, however, . Now we are left with the terms, where ħ Therefore, ħ, where ħ (Canonical Commutator).

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### Angular Momentum: Show that [Ly,Lz] = iħLx.

Tuesday, May 21st, 2019By: Jenard B. Cerbanez, MS Physics I, MSU-IIT Show that ħ Solution: Given that, , where , Thus, however, . Now we are left with the terms, where ħ (Canonical Commutator) Therefore, ħ, where .

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