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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Do last thre parts in detail
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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