CANONICAL QUANTIZATION OF DISSIPATIVE SYSTEMS

Authors

  • Ola A. Jarab'ah Tafila Technical University, Tafila, Jordan
  • Khaled I. Nawafleh Mu'tah University, Al-Karak, Jordan
  • Humam B. Ghassib The University of Jordan, Amman, Jordan

DOI:

https://doi.org/10.19044/esj.2013.v9n36p%25p

Abstract

The canonical method is invoked to quantize dissipative systems using the WKB approximation. The wave function is constructed such that its phase factor is simply Hamilton’s principal function. The energy eigenvalue is found to be in exact agreement with the classical case. To demonstrate our approach, the three examples considered in our previous work (ESJ 9(30), 70-81, 2013) are quantized in detail: the damped harmonic oscillator, a system with a variable mass, and a charged particle in a magnetic field.

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Published

2013-12-31

How to Cite

Jarab’ah, O. A., Nawafleh, K. I., & Ghassib, H. B. (2013). CANONICAL QUANTIZATION OF DISSIPATIVE SYSTEMS. European Scientific Journal, ESJ, 9(36). https://doi.org/10.19044/esj.2013.v9n36p%p

Issue

Vol. 9 No. 36 (2013): ESJ December Edition

Section

Articles

License

This work is licensed under a Creative Commons Attribution 4.0 International License.