PROBLEM 1 Consider a ld oscillator subject to an additional constant force F, so that the potential energy is given by: U(1) = mw? 2² – Fr Using the solution of the SE for oscillator at F = 0, write down the wave functions and the energy levels at F > 0. Can the ground state energy of oscillator under a constant force be negative? HINT: The force F causes a displacement of U(r) without changing its parabolic shape.
PROBLEM 1 Consider a ld oscillator subject to an additional constant force F, so that the potential energy is given by: U(1) = mw? 2² – Fr Using the solution of the SE for oscillator at F = 0, write down the wave functions and the energy levels at F > 0. Can the ground state energy of oscillator under a constant force be negative? HINT: The force F causes a displacement of U(r) without changing its parabolic shape.
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Transcribed Image Text:PROBLEM 1 Consider a 1d oscillator subject to an additional constant force
F, so that the potential energy is given by:
mw?
-x² – Fx
2
U (x) =
|
Using the solution of the SE for oscillator at F = 0, write down the wave
functions and the energy levels at F > 0. Can the ground state energy of
ocillator under a constant force be negative?
HINT: The force F causes a displacement of U(x) without changing its
parabolic shape.
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