Question

Example 9.1 (Charged oscillator in an electric field) A particle of charge ( q ) and mass ( m ), which is moving in a one-dimensional harmonic potential of frequency ( omega ), is subject to a weak electric field ( mathcal{E} ) in the ( x )-direction. (a) Find the exact expression for the energy. (b) Calculate the energy to first nonzero correction and compare it with the exact result obtained in (a).

          Example 9.1 (Charged oscillator in an electric field)
A particle of charge ( q ) and mass ( m ), which is moving in a one-dimensional harmonic potential of frequency ( omega ), is subject to a weak electric field ( mathcal{E} ) in the ( x )-direction.
(a) Find the exact expression for the energy.
(b) Calculate the energy to first nonzero correction and compare it with the exact result obtained in (a).

Example 9.1 (Charged oscillator in an electric field)
A particle of charge ( q ) and mass ( m ), which is moving in a one-dimensional harmonic potential of frequency ( omega ), is subject to a weak electric field ( mathcalE ) in the ( x )-direction.
(a) Find the exact expression for the energy.
(b) Calculate the energy to first nonzero correction and compare it with the exact result obtained in (a).

Added by Bakhtawar R.

Physics for IIT-JEE 2012-2013: Electricity & Magnetism

B.M. Sharma 2012 Edition

Chapter 1

Instant Answer

Solved by Expert Supreeta N

05/10/2023

Step 1

The Hamiltonian for a one-dimensional harmonic oscillator is given by: \( H_0 = \frac{p^2}{2m} + \frac{1}{2}m\omega^2 x^2 \) Show more…

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A particle of charge q and mass m, which is moving in a one-dimensional harmonic potential of frequency , is subject to a weak electric field E in the x-direction.(a) Find the exact expression for the energy.(b) Calculate the energy to first nonzero correction and compare it with the exact result obtained in (a).