Seminar Organizer: Kumar Abhinav
Previous Series Lists [Series 1, Series 2, Series 3, Series 4]
Series 5
Upcoming
On 29th April 2024 at 15:00 hrs ICT.
Speaker: David Senjaya, Mahidol University
Title: The Canonical Quantization and Gravitational Atoms
Abstract:
There are many theories based on the so-called singular Lagrangian where there exist inherent constraints between the canonical variables. These theories must be treated carefully via Dirac prescription of Hamiltonization. In this seminar, the classification of constraints will be discussed in moderate depth. To be able to make a smooth connection between classical and quantum mechanics, the so-called reparametrization invariant action of the classical theory (both non-relativistic and relativistic) will be introduced. The Lagrangians of the actions are found to be singular and a constraint function is found for each. Applying the Dirac prescription of the canonical quantization to the constraints, the Schrodinger and Klein-Gordon equation appears automatically. Using the obtained Klein-Gordon equation, we discuss the quasibound states’ (gravitational atom) novel exact solutions of massive and massless scalar particles bound in a static spherically symmetric Schwarzschild black hole space-time. A special function named the Confluent Heun function is introduced as the exact radial solutions. With the exact solutions in hand, we continue to calculate the Hawking radiation via the Damour-Ruffini method without having to formulate a separate theory of black hole thermodynamics.
References:
[1] Alexei A. Deriglazov and Bruno F. Rizzuti. 2011. Am. J. Phys. 79, 882–885.
[2] David Senjaya. 2023. JHEAp 40 (2023) 49-54.
[3] David Senjaya. 2024. Phys.Lett.B 849 (2024) 138414.
[4] David Senjaya. 2024. Eur.Phys.J.C 84 (2024) 1, 57.
[5] David Senjaya. 2024. Eur.Phys.J.C 84 (2024) 3, 229.
| No. | Date & Time | Title | Speaker & Affiliation |
| 1 | 16th Oct 2023, ICT 15:00-16:30 | Interacting dark sector in scalar-tensor and vector tensor theories | Masroor C. Pookkillath, NAS-MUNA |
| 2 | 30th Oct 2023, ICT 15:00-16:30 | An overview of the advances in Cosmology in the last decades | Leila Lobato Graef, Instituto de Física, Universidade Federal Fluminense, Brazil |
| 3 | 20th Nov 2023, ICT 15:00-16:30 | Time series analysis of air pollutants in Delhi* | Divya Gupta, NAS-MUNA |
| 4 | 4th Dec 2023, ICT 15:00-16:30 | Quantum Cosmology à la Polymerization | Manabendra Sharma, NAS-MUNA |
| 5 | 27th Dec 2023, ICT 15:00-16:30 | Dynamics of Quintom model and status on Hubble tension | Nandan Roy, NAS-MUNA |
| 6 | 29th Jan 2024, ICT 15:00-16:30 | Nonlocal Massive Gauge Models and the Role of Duality: Part 1 |
Kumar Abhinav, NAS-MUNA |
| 7 | 12th Feb 2024, ICT 15:00-16:30 | Nonlocal Massive Gauge Models and the Role of Duality: Part 2 |
Kumar Abhinav, NAS-MUNA |
| 8 | 4th Mar 2024, ICT 15:00-16:30 | Analysis Global Rice Trade Network* |
Phichayoot Baisiri, NAS-MUNA |
| 9 | 9th Apr 2024, ICT 15:00-16:30 | Multiplex Networks: The Hidden Layers of Complexity |
Pradeep Bhadola, NAS-MUNA |
| 10 | 29th Apr 2024, ICT 15:00-16:30 | The Canonical Quantization and Gravitational Atoms | David Senjaya, Mahidol University |
* Under seminar course NWTP 691, 2023