QA one-dimensional harmoniec oscillator of mass m and natural frequency w is in the quantum stati 14) = { 107 + 1/1 + £/12) at time t=0, where in denotes the eigenstate with eigenvalue (n+5)*w. It follows that the expectation value of the position operator & is (TIFR 2016) @) x (0) (Coswx + + Siwe) x(0) (CONE-Sinct) x(0) (crowt -fsiwe) (1) x(0) (Crowe + / Sniwe)

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Q. A one-dimensional harmonic oscillator of mass m and natural
frequency w is in the quantumn stati
<*1²+ ++ 411 + + 601 € = <chil
at time t=0, where in dinates the eigenstate with eigenvalue (n+4)*w.
se fallows that the expectation value <x> of the position
operator & is
(TIFR 2016)
(@) x (0) (Coswx + + Sinwe)
x(0) (CoNt-Sinet)
x(0) (cowt - siwit)
(1) x (0) (Crowe + + Smiwe)
Transcribed Image Text:Q. A one-dimensional harmonic oscillator of mass m and natural frequency w is in the quantumn stati <*1²+ ++ 411 + + 601 € = <chil at time t=0, where in dinates the eigenstate with eigenvalue (n+4)*w. se fallows that the expectation value <x> of the position operator & is (TIFR 2016) (@) x (0) (Coswx + + Sinwe) x(0) (CoNt-Sinet) x(0) (cowt - siwit) (1) x (0) (Crowe + + Smiwe)
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