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The Longrongion of 1D harmonic oscilator is, () write Euler-Congrange equation of system? ().write Hamiltonion of system and And Cossesponding homiltonion equations? iii). Calculate da* and re-express Homiltonion in terme rx d = a* L = m 2 mx ² m/w ² x ² of d mw J t = and a*. where, ёр (x + ²² ) MW та x-(P) P. Dr D

The Longrongion of 1D harmonic oscilator is, () write Euler-Congrange equation of system? ().write Hamiltonion of system and And Cossesponding homiltonion equations? iii). Calculate da* and re-express Homiltonion in terme rx d = a* L = m 2 mx ² m/w ² x ² of d mw J t = and a*. where, ёр (x + ²² ) MW та x-(P) P. Dr D

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The Longrongion of 1D harmonic oscilator 1 = m² ₂²² m² ²²³ x ² L 2 а () write Euler-Congronge equation of system? (6). Write Homiltonion of system and corresponding homiltonion equations? iii). Calculate da* and re-express Homiltonion in teams Anda of α and a*. where, d mw d = ёр med) x + mw 2 given functions A(x₂P) and (x-cp mWJ {a.a*} {α₂ H} {a^>H} a* = (V). Fox two B(x₂p) Poisson Pracket is, {A₂B} = 2A 2B ах ар calculate Poisson brackets 2A 2B 2P 2x0 V).write down act) and its solution ? time evolation creation for
Transcribed Image Text:The Longrongion of 1D harmonic oscilator 1 = m² ₂²² m² ²²³ x ² L 2 а () write Euler-Congronge equation of system? (6). Write Homiltonion of system and corresponding homiltonion equations? iii). Calculate da* and re-express Homiltonion in teams Anda of α and a*. where, d mw d = ёр med) x + mw 2 given functions A(x₂P) and (x-cp mWJ {a.a*} {α₂ H} {a^>H} a* = (V). Fox two B(x₂p) Poisson Pracket is, {A₂B} = 2A 2B ах ар calculate Poisson brackets 2A 2B 2P 2x0 V).write down act) and its solution ? time evolation creation for
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