Rafeeq Syed | University at Buffalo, State University of New York (original) (raw)
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In this report we discuss the equivalence of the classical equations of motion of a coupled oscil... more In this report we discuss the equivalence of the classical equations of motion of a coupled oscillator to the Schrodingers equation of a two-level quantum system. A simple experimental demonstration of the analogy is presented. Phenomena usually observed in a two-level quantum system such as Rabi oscillation, energy level splitting and excited state transition probability due to coupling and Geometric phases are demonstrated in the classical oscillator, with suitable interpretation.
The Electromagnetic wave equation in the context of total internal reflection closely resembles t... more The Electromagnetic wave equation in the context of total internal reflection closely resembles the Schrodinger equation for 1D quantum mechanical tunneling. Exploiting this resemblance the tunneling effect can be studied using EM waves . A simple setup has been used to study various aspects of tunneling such as decay rate and effect of barrier height .Further more the same apparatus was used to measure the dielectric constant of an unknown material. Even though the simplicity of the set up puts limitations on a quantitative analysis, most qualitative aspects are clearly demonstrated.
In this report we discuss the equivalence of the classical equations of motion of a coupled oscil... more In this report we discuss the equivalence of the classical equations of motion of a coupled oscillator to the Schrodingers equation of a two-level quantum system. A simple experimental demonstration of the analogy is presented. Phenomena usually observed in a two-level quantum system such as Rabi oscillation, energy level splitting and excited state transition probability due to coupling and Geometric phases are demonstrated in the classical oscillator, with suitable interpretation.
The Electromagnetic wave equation in the context of total internal reflection closely resembles t... more The Electromagnetic wave equation in the context of total internal reflection closely resembles the Schrodinger equation for 1D quantum mechanical tunneling. Exploiting this resemblance the tunneling effect can be studied using EM waves . A simple setup has been used to study various aspects of tunneling such as decay rate and effect of barrier height .Further more the same apparatus was used to measure the dielectric constant of an unknown material. Even though the simplicity of the set up puts limitations on a quantitative analysis, most qualitative aspects are clearly demonstrated.