Award Date


Degree Type


Degree Name

Master of Science (MS)


Electrical and Computer Engineering

Number of Pages



Starting from the analytical solution to the Time-Independent Schrodinger Equation, and exploiting the analogy between the transmission line equations and the time-independent Schrodinger wave equation, an analytical expression for the Average Particle Traversal (APT) time, {dollar}\tau\sb{\rm APT},{dollar} through a rectangular potential barrier region, under no bias, is derived, in terms of the barrier width, potential, and the incident energy of the electron. This approach is extended to derive an analytical expression for the APT time through a resonant tunneling structure, two symmetrical rectangular potential barriers sandwiching a potential well, under no bias. The results of the single potential barrier traversal time are compared with that of other approaches. The APT time is inversely proportional to the transmission coefficient, and satisfies physically intuitive energy limits. For the resonant tunneling structure, the APT time is minimum at resonant energies, and the {dollar}\tau\sb{\rm APT}{dollar} is inversely proportional to the transmission coefficient. The maximum frequency of oscillation is estimated and compared for some of the experimentally studied resonant tunneling structures based on the APT time. The agreement is excellent.


Analytical; Approach; Devices; Electronic; Mechanical; Quantum; Time; Tunneling

Controlled Subject

Electrical engineering; Condensed matter; Physics

File Format


File Size

2252.8 KB

Degree Grantor

University of Nevada, Las Vegas




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