Problem Sheet 1: Bosonic Annihilation and Creation Operators
SOLVED: The ladder operators a and a^† are defined as follows in terms of the operators X and P. a =√((m ω)/(2 ħ)) X+(i)/(√(2 m ωħ)) P a^† =√((m ω)/(2 ħ)) X-(i)/(√(2
![SOLVED: Consider the ladder operators of the one-dimensional harmonic oscillator mw X+i =p 2h V2mwh mw X-i Fp 2h V2mwh a+ (a) Find the commutator [a,a+] (b) Express the hamiltonian H =](https://cdn.numerade.com/ask_images/dbbcdbfdfe8640c2bdbe5fbfa2f36d8d.jpg "SOLVED: Consider the ladder operators of the one-dimensional harmonic oscillator mw X+i =p 2h V2mwh mw X-i Fp 2h V2mwh a+ (a) Find the commutator [a,a+] (b) Express the hamiltonian H =")
SOLVED: Consider the ladder operators of the one-dimensional harmonic oscillator mw X+i =p 2h V2mwh mw X-i Fp 2h V2mwh a+ (a) Find the commutator [a,a+] (b) Express the hamiltonian H =
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SOLVED: Ladder Operators in Spin Angular Momentum Just like any angular momentum define pair of raising and lowering operators for spin that can raise lower the value of ms by S+|- =ah +)
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