The Longrongion of 1D harmonic is, ()- write Euler-Congrange equation of system? ().write Hamiltonion of system and Costesponding homiltonion equations? iii). Calculate da* and re-express Homiltonian in terms And, 1 = 1 + ² m² ²x² 2 m 2 d = a* of a and a*. where, (x + (P) = mw J N mw (x-CP)
The Longrongion of 1D harmonic is, ()- write Euler-Congrange equation of system? ().write Hamiltonion of system and Costesponding homiltonion equations? iii). Calculate da* and re-express Homiltonian in terms And, 1 = 1 + ² m² ²x² 2 m 2 d = a* of a and a*. where, (x + (P) = mw J N mw (x-CP)
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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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