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{\Large {\bf A Multi-Subband Theory of the Origin of Intrinsic Oscillations
in Double-Barrier Quantum Well Systems}}\\[0pt]
{\large Peiji Zhao$^1$, D. L. Woolard$^2$, H. L. Cui$^3$, N. J. M. Horing$^3$ \\[0pt]
}
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\large

{\it $^1$ Department of Electrical and Computer Engineering\\
North Carloina State University, Raleigh, NC 27695}\\
{\it $^2$ Army Research Office, Research Triangle Park, NC 27709}\\
{\it $^3$ Department of Physics and Engineering Physics\\
Stevens Institute of Technology, Hoboken, NJ 07030}
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{\normalsize We present a theory accounting for the origin of high
frequency current oscillations in a double barrier quantum well system. The origin of such current oscillations is traced to the
development of a dynamic emitter quantum well and the concomitant coupling of the energy
levels in the double barrier quantum well system. The relationship between
the oscillation frequency and the energy level structure of the system is
expressed as $\nu =\Delta E_{0}/\hbar $: A self-consistent, time-dependent
Wigner-Poisson numerical computer experiment has been used to exhibit remarkable
intrinsic, sustained current oscillations in the double- barrier quantum well
at Tera-Hertz frequencies; and a procedure for calculating $\Delta E_{0}$, the
energy difference at time $t_{0}$ (defined such that the contribution to the
energy difference from the potential oscillation is zero) is also presented.
The simulated oscillation frequency determined using the Wigner-Poisson
analysis is in very good agreement with that calculated using a Schroedinger
equation with a self-consistent potential determined from the Poisson
equation. }

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