AYOOLUWA OLAKUNLE ODUFOWORA | The Open University (original) (raw)

Uploads

Thesis Chapters by AYOOLUWA OLAKUNLE ODUFOWORA

This project looks into the strong interaction of quarks and antiquarks in hadrons. The interact... more This project looks into the strong interaction of quarks and antiquarks in hadrons. The interaction which involves the SU(3) colour symmetry group is based on the colour hyperfine interaction, similar to the electromagnetic hyperfine interaction in the hydrogen atoms. This is the cause of the 1420MHz ( or 21-cm wavelength) radiation from the transition between the hyperfine split members of the hydrogen ground state. The pointlike nature of the quarks helps to have a deeper understanding of their interactions.
The project is restricted to working in within the relativistic quark model. A fit for the quark masses and magnetic moments is done so as to produce a good prediction for the baryon masses and magnetic moments with the best possible measure of precision given by the parameter X^2. The fit as a result of the colour hyperfine interaction produces the mass of up and down quark (m_n) to be 362.6 MeV/c2, mass of strange quark (m_s) to be 537.9 MeV/c^2, the colour hyperfine interaction parameter (A/m^2_n) to be 49.2 MeV/c^2 with the best possible X^2 of 33.5. The coherence of these values with predicted and experimental values definitely make the model a good one.

This quantum mechanical approach to the analysis of potential helps to find solutions to the problem of bound state systems whose applications is seen in electronics, nuclear physics, modern physics to mention but few.
The method of potential envelopes is used to analyze the bound state spectrum of the Schrodinger Hamiltonian H= -  + V(r), where V(r) is the potential considered. Using the comparison theorem and appropriate analysis of the semi-classical expression involving the considered potential helps us to establish simple formulas yielding upper and lower bounds for all the energy eigenvalues.

Drafts by AYOOLUWA OLAKUNLE ODUFOWORA

Papers by AYOOLUWA OLAKUNLE ODUFOWORA

This thesis investigates the effects of strong Rydberg-Rydberg interactions in the presence of th... more This thesis investigates the effects of strong Rydberg-Rydberg interactions in the presence of three-level coherent phenomena such as electromagnetically induced transparency (EIT), Autler-Townes splitting (ATS) and coherent population trapping (CPT). As a result of their remarkable properties, highly excited Rydberg atoms have great potential for applications in diverse areas. The interaction-induced dipole blockade between the Rydberg atoms has been proposed as a fundamental tool in quantum information processing with neutral atoms. Yet, they require an increasing level of understanding and control. I would like to thank my supervisors, Dr. Silvia Bergamini and Dr. Calum Maccormick, for first giving me the opportunity to do this research. Without your immense help, professional guidance and not the least, your extreme patience, I would not have lasted a day. All my knowledge in the field, I have acquired from you. My experience with you will live with me forever, and I am eternally grateful. I would like to thank my former group members Katarzyna Krzyzanowska, Micheal Copley-May and Rudy Romain, who introduced me to the basics of the lab. I will also like to appreciate my fellow PhD student, Siobhan Patrick. Although we only worked together for a few months, I must say that your resumption into the lab was timely, and it was a real pleasure to work with you. I feel very grateful to have been blessed with some amazing friends who made my PhD experience memorable. I will like to appreciate Mark Parker for creating the avenue to talk to him any time and for the exciting PhD conversations we had. Special gratitude to Ganiyu D. Adebanjo, with whom I have shared two academic journeys (Italy and UK). I want to say thank you for being more than just a friend at every milestone I reach. I owe a great deal to my friend, Akinwande O. Cole, for his invaluable support since I found myself in Milton Keynes. You practically made me your burden and allowed me to freely inconvenient you every time. It would be impossible to count all the ways that you have helped me in life. Thank you so much for all that you have done, and I only hope I can reciprocate your kind gestures in the nearest future. I am deeply grateful to my parents and siblings for their prayers and support per time. Thank you so much for nurturing me to the person I am and believing in me in whatever I find myself to do. I also want to appreciate my parents-in-law for their love, support, trust and prayers. Most importantly, I would like to give the most unfeigned gratitude to my lovely wife, Kehinde Mary Taiwo, for her consistent love and countless sacrifices throughout this journey. Walking down the aisle with you was the best thing that happened to me throughout my PhD. You have inspired me to pursue my dreams with dedication. You have always encouraged me to be positive even when I feel like its the end of the road. You have always prayed for me both in secret and in the open. Thank you very much for being my best friend.

This project looks into the strong interaction of quarks and antiquarks in hadrons. The interacti... more This project looks into the strong interaction of quarks and antiquarks in hadrons. The interaction which involves the SU(3) colour symmetry group is based on the colour hyperfine interaction, similar to the electromagnetic hyperfine interaction in the hydrogen atoms. This is the cause of the 1420MHz ( or 21-cm wavelength) radiation from the transition between the hyperfine split members of the hydrogen ground state. The pointlike nature of the quarks helps to have a deeper understanding of their interactions. The project is restricted to working in within the relativistic quark model. A fit for the quark masses and magnetic moments is done so as to produce a good prediction for the baryon masses and magnetic moments with the best possible measure of precision given by the parameter X^2. The fit as a result of the colour hyperfine interaction produces the mass of up and down quark (m_n) to be 362.6 MeV/c2, mass of strange quark (m_s) to be 537.9 MeV/c^2, the colour hyperfine interaction parameter (A/m^2_n) to be 49.2 MeV/c^2 with the best possible X^2 of 33.5. The coherence of these values with predicted and experimental values definitely make the model a good one.

The scope about the word potential has been given different forms of approaches, both classically... more The scope about the word potential has been given different forms of approaches, both classically and quantum mechanically. The quantum mechanical approach which involves finding the solution of the time independent Schrodinger equation tends to have an upper hand where the classical approach fails. Many types of potential are in existence depending on how the word potential is used and what is coined with. Some potential exist in simple form while some exist as the superposition of the simple ones. This quantum mechanical approach to the analysis of potential helps to find solutions to the problem of bound state systems whose applications is seen in electronics, nuclear physics, modern physics to mention but few. The method of potential envelopes is used to analyze the bound state spectrum of the Schrodinger Hamiltonian H= -  + V(r), where V(r) is the potential considered. Using the comparison theorem and appropriate analysis of the semi-classical expression involving the considered potential helps us to establish simple formulas yielding upper and lower bounds for all the energy eigenvalues.

Journal of Mathematical Physics, 1970

The work of Finkelstein, Kruskal, Graves and Brill, Carter, and Boyer and Lindquist on the extens... more The work of Finkelstein, Kruskal, Graves and Brill, Carter, and Boyer and Lindquist on the extension and schematic representation of 2‐dimensional metrics is systematized and generalized. As a result, a number of extensions may be found by inspection. Some well‐ ...

Journal of Mathematical Physics, 1970