5. a): Using Hamiltonian equation of motion, Show that the Hamiltonian, p2 mw? H =: -x²et 2 -e 2m Leads to the equation of motion of a damped harmonic oscillator, ï +rx + w?x = 0.
5. a): Using Hamiltonian equation of motion, Show that the Hamiltonian, p2 mw? H =: -x²et 2 -e 2m Leads to the equation of motion of a damped harmonic oscillator, ï +rx + w?x = 0.
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p2
-rt
2m
Leads to the equation of motion of a damped harmonic oscillator, ï +rx + w?x = 0.
mw?
x²et
2
H =
e"
Transcribed Image Text:5. a): Using Hamiltonian equation of motion, Show that the Hamiltonian,
p2
-rt
2m
Leads to the equation of motion of a damped harmonic oscillator, ï +rx + w?x = 0.
mw?
x²et
2
H =
e
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