QUANTUM TUNNELING IN MEDIUMS WITH LINEAR AND NONLINEAR DISSIPATION
We have applied the method of integration of the Heisenberg equation of motion proposed by Bender and Dunne, and M. Kamella and M. Razavy to the potential V(q) = v q - µ q with linear and nonlinear dissipation. We concentrate our calculations on the evolution of basis set of Weyl Ordered Operator...
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| Format: | Article |
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| Language: | English |
| Published: |
University of Tehran
1998-03-01
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| Series: | Journal of Sciences, Islamic Republic of Iran |
| Online Access: | https://jsciences.ut.ac.ir/article_31368_93fffd96653d411246a91b25a4596084.pdf |
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| Summary: | We have applied the method of integration of the Heisenberg equation of motion
proposed by Bender and Dunne, and M. Kamella and M. Razavy to the potential
V(q) = v q - µ q with linear and nonlinear dissipation. We concentrate our
calculations on the evolution of basis set of Weyl Ordered Operators and calculate the
mean position , velocity , the commutation relation [q, p], and the energy of particle.
According to our results, the particle which is confined in the well at t= 0, has some
oscillations before tunneling. If dissipation is lproportional to velocity it inhibits
tunneling but when it is quadric in velocity it facilitates tunneling. Thus, we can
continue our cdculation easily for every power of velocity |
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| ISSN: | 1016-1104 2345-6914 |