Sudden reduction in spring stiffness for quantum harmonic oscillator

[andrewthorn]

A harmonic oscillator with frequency ω is in its ground state when the stiffness of the spring is instantaneously reduced by a factor f²<1, so its natural frequency becomes f²ω. What is the probability that the oscillator is subsequently found to have energy 1.5(hbar)f²ω? Thanks

 

[Avodyne]

Sounds like a homework problem that belongs in the homework help section. You will need to show an attempt to solve.