The Longrongion of 1D harmonic oscilator 1 = ² ² ²x² ах 2 m. 2 () write Euler-Longronge equation of system? "). Write Hamiltonion of system and Costesponding hamiltonion equations? iii). Calculate da* and re-express Homiltonion in terms of d and a*. where d = (x + LP) mw And, mw J و a* = (V). Fox two B(xp) Poisson Pracket is, 2A 2B ах ар mw (x-CP) 2 given functions A(x₂P) and N {A, B} Calculate Poisson brackets {α₂α*} {α₂H} {a*>H} 2A 2B 2р 2х V).write down act) and its solution? time evolation equation for
The Longrongion of 1D harmonic oscilator 1 = ² ² ²x² ах 2 m. 2 () write Euler-Longronge equation of system? "). Write Hamiltonion of system and Costesponding hamiltonion equations? iii). Calculate da* and re-express Homiltonion in terms of d and a*. where d = (x + LP) mw And, mw J و a* = (V). Fox two B(xp) Poisson Pracket is, 2A 2B ах ар mw (x-CP) 2 given functions A(x₂P) and N {A, B} Calculate Poisson brackets {α₂α*} {α₂H} {a*>H} 2A 2B 2р 2х V).write down act) and its solution? time evolation equation for
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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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