- #1
ee_mike
- 12
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The problem is
A particle of mass m and electric charges q can move only in one dimension and is subject to a harmonic force and a homogeneous electrostatic field. The Hamiltonian operator for the system is
H= p2/2m +mw2/2*x2 - qεx
a. solve the energy eigenvalue problem
b. if the system is initially in the ground state of the unperturbed harmonic oscillator, ket= |0>, what is the probability of finding it in the ground state of the full Hamiltonian?
Could anybody offer some methods to handle this question? Thank you very much.
A particle of mass m and electric charges q can move only in one dimension and is subject to a harmonic force and a homogeneous electrostatic field. The Hamiltonian operator for the system is
H= p2/2m +mw2/2*x2 - qεx
a. solve the energy eigenvalue problem
b. if the system is initially in the ground state of the unperturbed harmonic oscillator, ket= |0>, what is the probability of finding it in the ground state of the full Hamiltonian?
Could anybody offer some methods to handle this question? Thank you very much.