Home Page of V. K. B. Kota

• Developing one plus two-body embedded random matrix ensembles with group symmetries for many-body chaos in nuclei with particular emphasis on deriving analytical results.
• Understanding chaos and regular structures generated by shell model and interacting boson model geometries in nuclei.
• Statistical nuclear spectroscopy for level densities, occupancies and Gamow-Teller strengths.
• Group theoretical models for nuclear structure.
• Proton-neutron pairing and structure of nuclei near proton drip line.

The above studies make use of Wigner-Racah algebra for higher Lie groups and theory of probability distributions in statistics. Partly they are also computational in nature involving diagonalization of very large matrices.

1. V.K.B. Kota,
   Spectra and E2 Transition Strengths for N=Z Even-Even Nuclei in IBM-3 Dynamical Symmetry Limits with Good s and d Boson Isospins
   Ann. Phys. (N.Y.) 265, 101-133 (1998).


2. V.K.B. Kota,
   O(36) Symmetry Limit of IBM-4 with good s, d and sd Boson Spin-Isospin Wigner's SU(4) ~ O(6) Symmetries for N ~ Z Odd-Odd Nuclei
   Ann. Phys. (N.Y.) 280, 1-34 (2000).


3. V.K.B. Kota and R. Sahu,
   avefunction structure in (1+2)-body random matrix ensembles,
   Phys. Rev. E64, 016219/1-8 (2001).


4. V.K.B. Kota,
   Embedded random matrix ensembles for complexity and chaos in finite interacting particle systems,
   Physics Reports 347, 223-288 (2001).


5. V.K.B. Kota and K. Kar,
   Group Symmetries in Two-body Random Matrix Ensembles Generating Order Out of Complexity,
   Phys. Rev. E64, 026130/1-7 (2002).


6. N.D. Chavda, V. Potbhare and V.K.B. Kota,
   Statistical Properties of Dense Interacting Boson Systems with One Plus Two-Body Random Matrix Ensembles,
   Phys. Lett. A311, 331-339 (2003).


7. V.K.B. Kota,
   Convergence of Moment Expansions for Expectation Values with Embedded Random Matrix Ensembles and Quantum Chaos,
   Ann. Phys. (N.Y.) 306, 58-77 (2003).


8. R. Sahu and V.K.B. Kota,
   Deformed Shell Model for Collective T=0 and T=1 Bands in V(46) and Mn(50),
   Phys. Rev. C 67, 054323/1-7 (2003).


9. J.M.G. Gomez, K. Kar, V.K.B. Kota, R.A. Molina and J. Retamosa,
   Number of Principal Components and Localization Length in E2 and M1 Transition Strengths in V(46),
   Phys. Rev. C 69, 057302/1-4 (2004).


10. V.K.B. Kota,
    SU(N) Wigner-Racah algebra for the matrix of second moments of embedded Gaussian unitary ensemble of random matrices,
    J. Math. Phys. 46, 033514/1-9 (2005).


11. V.K.B. Kota,
    Regularities with random interactions in energy centroids defined by group symmetries,
    Phys. Rev. C 71, 041304(R)/1-5 (2005).


12. V.K.B. Kota and J.A. Castilho Alcaras,
    Classification of states in SO(8) proton-neutron pairing model,
    Nucl. Phys. A764, 181-204 (2006).