Jul 10 – 22, 2023
Orthodox Academy of Crete, Kolymbari, Crete, Greece (Hybrid mode)
Europe/Athens timezone

On Diagonalization and Bound State Existence Conditions for Coupled Harmonic Oscillators

Jul 19, 2023, 4:40 PM
20m
Room 2

Room 2

Talk Quantum Physics, Quantum Optics and Quantum Information Quantum Physics, Quantum Optics and Quantum Information

Speaker

Mohsin Ilahi

Description

We have established the connection between two diagonalization methods that have
been put forward recently for solving time-dependent and time-independent three coupled
quantum harmonic oscillators (CQHO). One method invokes SU(3) Lie group structure while the other takes SO(3) Lie group construction into consideration for diagonalization. Necessary and
sufficient conditions for the existence of bound states which are valid for both the time-dependent and time-independent three CQHO have been derived explicitly. Implications and insights of the results obtained have also been discussed. In particular, a resolution the derived results offer for some of the issues that have been
pointed out recently related to the latter method, that is, the one based on SU(3) Lie group structure, has been discussed as well.

Details

Mr. Mohsin Ilahi, Aligarh Muslim University, India

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Authors

Mr Mohsin Ilahi (Aligarh Muslim University) Dr Abdulla Abdulsalam (King Abdulaziz University) Ms Lana Alabbasi (King Abdulaziz University)

Presentation materials