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Presentation PHY409

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  • Module
  • PHY409
  • Institution
  • Ambrose Alli University

This paper has demonstrated how symmetries arising from the interaction topology or due to the structure and representation of the system and control Hamiltonian can be effectively utilized in reducing the size of the Hilbert space. Rather than applying these symmetries separately, it is shown in t...

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Document information

  • September 7, 2023
  • 48
  • 2023/2024
  • Presentation
  • Unknown

Subjects

  • abstract
  • introduction
  • literature review
  • summary and conclusion
  • reference
  • symmetries and conservation law for quantum spin
  • application of symmetries to finite heisenberg

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  • Ambrose Alli University
  • PHY409
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APPLICATION OF SYMMETRIES AND CONSERVATION LAWS IN THE EXACT
DIAGONALIZATION OF EIGHT AND TEN SITES HEISENBERG CHAINS




BY




UNIMHEN EMMANUEL OSAS
MATRIC NO.: FPS/PHY/18/48128




DEPARTMENT OF PHYSICS
FACULTY OF PHYSICAL SCIENCES
AMBROSE ALLI UNIVERSITY EKPOMA-NIGERIA




AUGUST, 2023




1

,APPLICATION OF SYMMETRIES AND CONSERVATION LAWS IN THE EXACT
DIAGONALIZATION OF EIGHT AND TEN SITES HEISENBERG CHAINS




BY




UNIMHEN EMMANUEL OSAS
MATRIC NO.: FPS/PHY/18/48128



A PROJECT WORK SUBMITTED TO THE
DEPARTMENT OF PHYSICS, FACULTY OF PHYSICAL SCIENCES, AMBROSE
ALLI UNIVERSITY, EKPOMA-NIGERIA.

IN PARTIAL FULFILMENT FOR THE AWARD OF BACHELOR OF SCIENCE B.Sc
(HONS) PHYSICS




AUGUST, 2023




i

, CERTIFICATION

We certify that the project work entitled Application of Symmetries and Conservation Laws

in the Exact Diagonalization of Eight and Ten Sites Heisenberg Chains was carried out by

Unimhen Emmanuel OSAS and this work is adequate in scope and quantity for the partial

fulfilment for the award of the degree of Bachelor of Science in Physics.




………………………………….. …….......……………
Dr. S. Ehika Date
(Supervisor)



…………………………………. ……..…………….
Dr. S.Ehika Date
(Ag. Head of Department)




………………………………… ……..…………….
External Examiner Date




ii

, DEDICATION

This project is dedicated to the Almighty God for his infinite mercy, Grace, endless

favour and round supply in carrying out this student research project. And also thank those

that have been supporting me from the beginning ,lastly to my beloved parent for their love

and care.




iii

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