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SPECIAL AMO/QO Pizza Seminar


"On the Problem of Electromagnetic-Field Quantization"


Dr. Sergei K. Suslov
School of Mathematical and Statistical Sciences
Arizona State University


ABSTRACT 

We consider the radiation field operators in a cavity with varying dielectric medium in terms of solutions of Heisenberg's equations of motion for the most general one-dimensional quadratic Hamiltonian. Explicit solutions of these equations are obtained by quadratures and applications to the radiation field quantization, including randomly varying media, are briefly discussed. Some applications to quantum optics, cavity quantum electrodynamics, and superfocusing in channeling scattering are also mentioned.
    References
  1. C. Krattenthaler, S. I. Kryuchkov, A. Mahalov, and S. K. Suslov, "On the problem of electromagnetic-field quantization, Int. J. Theor. Phys.," to appear; see also arXiv:1301.7328v2 [math-ph] 9 Apr 2013.
  2. S. I. Kryuchkov, S. K. Suslov, and J. M. Vega-Guzmán,"The minimum-uncertainty squeezed states for atoms and photons in a cavity," J. Phys. B:At. Mol. Opt. Phys. 46 (2013) no. 10, 104007.
  3. R. M. López, S. K. Suslov, and J. M. Vega-Guzmán,"On a hidden symmetry of harmonic oscillators," J. Diff. Eqns. Appl. 19 (2013) # 4, 543-554.
  4. R. M. López, S. K. Suslov, and J. M. Vega-Guzmán,"Reconstracting the Schrödinger groups," Physica Scripta 87 (2013) no. 3, 038112.
  5. S. K. Suslov,"An analog of the Berry phase for simple harmonic oscillators," Physica Scripta 87 (2013) no. 3, 038118.
  6. S. K. Suslov,"On integrability of nonautonomous nonlinear Schrödinger equations," Proc. Amer. Math. Soc. 140 (2012) no. 9, 3067-3082.



Monday September 16, 2013
IQSE 578, 12:30 noon
Mitchell Physics Building


Institute for Quantum Science and Engineering
Texas A&M University

(Pizza, salad, and soda to be served at 12:00 noon)

Host: Dr. Marlan O. Scully