Interaction between two-dimensional quantum oscillators and time-dependent forces: case of a harmonic force Articles uri icon

publication date

  • March 2014

start page

  • 10

end page

  • 13


  • 436

International Standard Serial Number (ISSN)

  • 0921-4526

Electronic International Standard Serial Number (EISSN)

  • 1873-2135


  • We solve analytically the time dependent Schrodinger equation of a two-dimensional quantum oscillator subjected to a time-varying force. We apply the results to the case of a linearly and circularly polarized harmonic force. The main result is that the quantum oscillator orbit center performs a two-dimensional closed loop (elliptical) driven by the force. This theory has been specifically applied to the problem of a two-dimensional electron system subjected to a static and uniform magnetic field and radiation to explain the striking effects of radiation-induced magnetoresistance oscillations and zero resistance states.


  • microwaves; radiation coupling; two-dimensional electrons; zero resistance states; field