Quantum mechanical estimation of cylindrical waveguide parameters with entropy computation

  • L. Kumar
  • V. Shankar Pandey
  • H. Parthasarathy
  • V. Shrimali
Article
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Abstract

This paper aims at first deriving the general forms of the electromagnetic vector and scalar potentials inside a cylindrical wave-guide by placing a 3D-charged quantum oscillator within the waveguide. The interaction Hamiltonian between the oscillator and the e-m field is derived. We then use this interaction Hamiltonian to calculate the transition probability of the oscillator from one stationary state to another. This calculation enables us to derive quantum mechanical algorithms for estimating the size of the waveguide. A problem that is useful in nano-level engineering is discussed. Finally an approximate expression for the amount of entropy pumped by e-m field into the atom is computed.

Keywords

Schrödinger equation 3D quantum harmonic oscillators Waveguide Transition probability Perturbation theory 

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Electronics and Communication EngineeringNational Institute of TechnologyDelhiIndia
  2. 2.Department of PhysicsNational Institute of TechnologyDelhiIndia
  3. 3.Division of Electronics and Communication EngineeringNetaji Subhas Institute of TechnologyDelhiIndia
  4. 4.Department of Electronics and Communication EngineeringG.B Pant Govt. Engineering CollegeDelhiIndia

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