Abstract
We analyze the effects of dissipation in a charged oscillator in the presence of the Aharonov-Bohm effect by using time-dependent mass (m(t)) Hamiltonians. We consider two different models for the dissipative Hamiltonian and analyze the uncertainties (Δr and Δp) and the quantum mechanical expectation value of energy (⟨E⟩) in terms of time (t), damping parameters and flux parameter (v). For the Caldirola-Kanai model, we observe that the flux parameter v decreases the energy dissipation in a quantum dot for a certain range of t.
Highlights
Since the 1920s, the interaction between charged particles and electromagnetic fields has attracted a great attention in the literature under the quantum mechanics point of view
As a matter of fact, the particle is affected by electromagnetic potentials, which may exist in regions where the fields do not exist
In 1959, Aharonov and Bohm [2] discussed the role of the electromagnetic potentials in quantum mechanics
Summary
Since the 1920s, the interaction between charged particles and electromagnetic fields has attracted a great attention in the literature under the quantum mechanics point of view. This model has already been used to study dissipative quantum tunneling [29, 30], time-dependent mesoscopic RLC circuits [31,32,33,34,35], damped effects on the entanglement of a two-level atom in a two-photon field [36], dissipative relativistic motion [37], the matter black-body problem [38], parabolic confined particles (dissipative quantum dots) [39, 40] and the dynamics of the DNA breathing [41]. Dissipative Dynamics and Uncertainty Measures of a Charged Oscillator in the Presence
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
