A particle of mass m is located at a one-dimensional potential, a b U(x) x2 - Where the period of positive oscillations effected by the particle with respect а, b are constants. Show that small to the equilibrium position is T = 4n/2ma³ /b4

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A particle of mass m is located at a one-dimensional potential,
a
b
U(x)
Where
а,
b
positive
constants.
Show
that
the period of
small
are
oscillations effected by the particle with
position is
respect
to
the equilibrium
T = 4n/2ma³ /b4
Transcribed Image Text:A particle of mass m is located at a one-dimensional potential, a b U(x) Where а, b positive constants. Show that the period of small are oscillations effected by the particle with position is respect to the equilibrium T = 4n/2ma³ /b4
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