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...
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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