Speaker
Description
The study elucidates the quantum trajectories of the relativistic Quarkonium oscillator in conic gravitational field. First, the Klein-Gordon (KG) equation is solved with respect to the constrained metric, and the quantum dynamics are discussed around the asymptotic regimes. Afterwards, the energy spectrum is found for the examination of the bound states and scattering cases. Secondly, the Bohmian trajectories are investigated with respect to the quantum Hamilton Jacobi equation (QHJE) in de Broglie-Bohm (dBB) perspective to investigate the interaction of the Quarkonium oscillator with the space-time background via the resonances and phase of the quantum trajectories. Finally, the thermodynamic evolution of the system with respect to time is discussed by the complex partition function. Consequently, it is inferred that, in the extreme space-time environments the dynamics of the Quarkonium confinement lies in the well-defined quantum trajectories through the complex domains, and leads to the
apprehensible observables via the quantum phase transitions.
| Other topic / keywords: | Quantum Gravity and Complex Quantum Trajectories; Klein-Gordon Oscillator and Cornell Potential, Complex Thermodynamics and Quasinormal Modes, Heun Functions |
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