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Tangent87 said:I'm not 100% sure but maybe you have to find an expression for the perturbed wavefunction in the ground state and then use this to find the probability? Again, that is just my intuition, I may be completely wrong, but I'd be interested to see a solution.
Also just out of interest how did you do part (i)? I assume you use normalisation to find N, but how do you find alpha?
A simple harmonic oscillator is a system that experiences a restoring force proportional to its displacement from its equilibrium position. This results in a periodic motion, with a constant frequency and amplitude.
The probability of perturbation refers to the likelihood that a perturbation, or disturbance, will occur in a system. In the context of a simple harmonic oscillator, it is the likelihood that the system will experience a change in its equilibrium state.
The probability of perturbation in a simple harmonic oscillator can be calculated using the principles of statistical mechanics. It involves considering all possible states of the system and their associated energies, and then using mathematical equations to determine the probability of each state occurring.
Any scientist or researcher with a strong understanding of statistical mechanics and the principles of quantum mechanics can solve the probability of perturbation in a simple harmonic oscillator. This type of problem is often studied in fields such as theoretical physics and quantum chemistry.
Solving the probability of perturbation in a simple harmonic oscillator can provide valuable insights into the behavior and stability of the system. It can also help in understanding how external factors, such as temperature or pressure, may affect the system and its equilibrium state.