The Quantum Pendulum Clock · AI Generator #GEN-08DF96DC
Physics · quantum-mechanics
Problem
A physicist designs a novel atomic clock based on a lithium ion (Li²⁺) trapped in a one-dimensional harmonic potential well. The ion oscillates quantum mechanically with angular frequency ω=2.50×1014rad/s. The clock operates by detecting transitions between adjacent energy levels of this quantum harmonic oscillator.
To calibrate the clock, the physicist needs to determine the energy difference between the n=3 and n=2 energy levels of the trapped ion. What is this energy difference in electron volts (eV)?