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Lie algebraic techniques; vibrational spectra; copper tetramesityl porphyrin.

Using Lie algebraic techniques and simpler expressions of the matrix elements of Majorana and Casimir operators given by us, we obtain an effective Hamiltonian operator which conveniently describes stretching vibrations of biomolecules. For a copper tetramesityl porphyrin molecule, the higher excited vibrational levels are calculated by applying the $U (2)$ algebraic approach.

Srinivasa Rao Karumuri¹ Joydeep Choudhury¹ Nirmal Kumar Sarkar² Ramendu Bhattacharjee¹

1. Department of Physics, Post-Graduate Centre, P.B. Siddhartha College of Arts and Science, Vijayawada 520 010, India
2. Department of Physics, Karimganj College, Karimganj 788 710, India

Published

January 2010

Manuscript received

16 December 2008

Manuscript revised

11 July 2009

Accepted

30 July 2009