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Q1: The classical Hamiltonian of the LC-circuit is H = Hc + H₁ == capacitor and is the magnetic flux of conductor. Quantize the above Hamiltonian. 2 C where is the charge of

Q1: The classical Hamiltonian of the LC-circuit is H = Hc + H₁ == capacitor and is the magnetic flux of conductor. Quantize the above Hamiltonian. 2 C where is the charge of

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L Q1: The classical Hamiltonian of the LC-circuit is H = H₂ + H₂ 19²2 16² capacitor and is the magnetic flux of conductor. Quantize the above Hamiltonian. 2 C 2 L Q2: From the assumption L = αθ + ßθ+yÎ, prove L =θ+¡Î¸. 04: Define =â+ hw Q3: Use the uncertainty principle to show that the lowest energy of the simple harmonic oscillator is E = 0 2 42 = • iltanian of the LC c â+ ولاء احد 9 where is the charge of check it's normalization using the number operator? Q5: Is cos+sine¹ an eigenfunction of 1² and L₁, if yes, what are the corresponding eigenvalues. 9 Z -?
Transcribed Image Text:L Q1: The classical Hamiltonian of the LC-circuit is H = H₂ + H₂ 19²2 16² capacitor and is the magnetic flux of conductor. Quantize the above Hamiltonian. 2 C 2 L Q2: From the assumption L = αθ + ßθ+yÎ, prove L =θ+¡Î¸. 04: Define =â+ hw Q3: Use the uncertainty principle to show that the lowest energy of the simple harmonic oscillator is E = 0 2 42 = • iltanian of the LC c â+ ولاء احد 9 where is the charge of check it's normalization using the number operator? Q5: Is cos+sine¹ an eigenfunction of 1² and L₁, if yes, what are the corresponding eigenvalues. 9 Z -?
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