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Production and Targeting of Monovalent Quantum Dots
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Dirac potential in a rotational dissipative quantum system.

Yi-Rong Ma1,2, Wei Jia1,2, Shi-Rong Lin1

  • 1Center for Quantum Technology Research, School of Physics, Beijing Institute of Technology, Beijing, 100081, People's Republic of China.

Scientific Reports
|February 9, 2019
PubMed
Summary

This study uses an effective potential to analyze dissipative quantum systems with rotation. The research reveals an equivalence between these systems and monopole systems, offering new insights into quantum dissipation.

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Area of Science:

  • Quantum Mechanics
  • Theoretical Physics
  • Condensed Matter Physics

Background:

  • Dissipative quantum systems are crucial for understanding energy loss in quantum phenomena.
  • Rotational velocity introduces complexities in quantum system dynamics.
  • Effective potentials are valuable tools for simplifying complex quantum interactions.

Purpose of the Study:

  • To investigate a dissipative quantum system incorporating rotational velocity using an effective potential.
  • To derive and solve the governing equation for this system under specific constraints.
  • To explore the relationship between dissipative quantum systems and monopole systems.

Main Methods:

  • Application of an effective potential to a dissipative quantum system.
  • Gauge transformation leading to the Doebner-Goldin equation (DGE).
  • Solving the DGE under the constraint of a vertical relation between rotational velocity and density gradient for a harmonic oscillator model.

Main Results:

  • The Doebner-Goldin equation for a dissipative quantum system with a Dirac potential was obtained and solved.
  • A direct equivalence was established between the dissipative quantum system and a monopole system.
  • The Wu-Yang gauge potentials for the north and south hemispheres were successfully reproduced.
  • Gauge-invariant parameters were derived to characterize system dissipation.

Conclusions:

  • The study successfully models a complex dissipative quantum system with rotation.
  • The established equivalence to a monopole system provides a new perspective on quantum dissipation.
  • The derived gauge-invariant parameters offer a quantitative method for analyzing dissipation characteristics.