Quantization of Damped Systems Using Fractional WKB Approximation


  •  Ola A. Jarabah    

Abstract

The Hamilton Jacobi theory is used to obtain the fractional Hamilton-Jacobi function for fractional damped systems. The technique of separation of variables is applied here to solve the Hamilton Jacobi partial differential equation for fractional damped systems. The fractional Hamilton-Jacobi function is used to construct the wave function and then to quantize these systems using fractional WKB approximation. The solution of the illustrative example is found to be in exact agreement with the usual classical mechanics for regular Lagrangian when fractional derivatives are replaced with the integer order derivatives and r-0 .



This work is licensed under a Creative Commons Attribution 4.0 License.
  • Issn(Print): 1916-9639
  • Issn(Onlne): 1916-9647
  • Started: 2009
  • Frequency: bimonthly

Journal Metrics

Google-based Impact Factor (2017): 3.90
h-index (November 2017): 17
i10-index (November 2017): 33
h5-index (November 2017): 12
h5-median (November 2017): 19

Learn more

Contact