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Faculty
Department of Physics
Santosh Kumar
Assistant Professor,
Department of Physics,
School of Natural Sciences
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Education Details
Ph.D., Jawaharlal Nehru University, New Delhi, 2011
M.Sc., Jawaharlal Nehru University, New Delhi, 2005
B.Sc., Vinoba Bhave University, Hazaribag, 2002

Professional Experience
Post-Doctoral Research Associate at AG Guhr, University of Duisburg-Essen, Germany, July 2011-June 2013

Teaching
  • PHY 101: Introduction to Physics I
  • PHY 102: Introduction to Physics II
  • PHY 203: Introduction to Mathematical Physics I
  • PHY 204: Introduction to Mathematical Physics II
  • PHY 207: Abridged Course for Minor Physics
  • PHY557: Probability, Statistics, Matrix Theory and Applications

Research Interests
Our research is concerned with the investigation of statistical properties of complex and/or chaotic systems. The study covers topics as varied as quantum conductance in mesoscopic devices, entanglement in random pure states, transmission properties in microwave resonators, and performance of multiple antenna communication systems. The mathematical tools used for this purpose include Random Matrix Theory and Supersymmetry, which are extremely rich subjects in themselves. Consequently, development of novel tools and techniques in these and related areas is also of interest.

Select Publications
Distribution of off-diagonal cross sections in quantum chaotic scattering: Exact results and data comparison, S Kumar, B Dietz, T Guhr, A Richter, Physical Review Letters 119, 244102 (2017).
[Editors' Suggestion]
DOI Link:

Relativistic nature of carriers: Origin of electron-hole conduction asymmetry in monolayer graphene, P. K. Srivastava, S. Arya, S. Kumar, S. Ghosh, Physical Review B (Rapid Communications) 96, 241407(R) (2017).
DOI Link:

A Novel Approximation for K Distribution: Closed form BER using DPSK Modulation in Free Space Optical Communication, R. K. Singh, Karmeshu, and S. Kumar, IEEE Photonics Journal 9, 1 (2017).
DOI Link:

Smallest eigenvalue density for regular or fixed-trace complex Wishart–Laguerre ensemble and entanglement in coupled kicked tops, S. Kumar, B. Sambasivam, and S. Anand, Journal of Physics A: Mathematical and Theoretical 50, 345201 (2017).
DOI Link:

Approximate Sum Rate for Integer-Forcing Receiver, A. S. Guerreiro, G. Fraidenraich, and S. Kumar, IEEE Transactions on Communications (2017).
DOI Link:

On the Exact and Approximate Eigenvalue Distribution for Sum of Wishart Matrices, G. F. Pivaro, S. Kumar, G. Fraidenraich, and C. F. Dias, IEEE Transactions on Vehicular Technology (2017).
DOI Link:

The Probability That All Eigenvalues are Real for Products of Truncated Real Orthogonal Random Matrices, P. J. Forrester and S. Kumar, Journal of Theoretical Probability (2017).
DOI Link:

On the Exact Distribution of Mutual Information of Two-user MIMO MAC Based on Quotient Distribution of Wishart Matrices, G. Pivaro, S. Kumar, G. Fraidenraich, EURASIP Journal on Wireless Communications and Networking 2017, 75 (2017).
DOI Link:

On the Ergodic Capacity of Distributed MIMO Antenna Systems, S. Kumar, Wireless Personal Communications 92, 381 (2017).
DOI Link:

Volume of metric balls in real Grassmann manifold with an application to frames, S. Kumar, R.-A. Pitaval, L. Wei, IEEE International Symposium on Information Theory and Its Applications (ISITA), (2016).
IEEE Link:

The Correlated Jacobi and the Correlated Cauchy-Lorentz Ensembles, T. Wirtz, D. Waltner, M. Kieburg, S. Kumar, Journal of Statistical Physics 162, 495 (2016).
DOI Link:

Exact evaluations of some Meijer G-functions and probability of all eigenvalues real for the product of two Gaussian matrices, S. Kumar, Journal of Physics A: Mathematical and Theoretical 48, 445206 (2015).
DOI Link: IOP Publisher's Pick - Interview:

Random matrix ensembles involving Gaussian Wigner and Wishart matrices, and biorthogonal structure, S. Kumar, Physical Review E 92, 032903 (2015).
DOI Link:

Eigenvalue Statistics for the Sum of Two Complex Wishart Matrices, S. Kumar, Europhysics Letters 107, 60002 (2014).
DOI Link:

Distributions of Off-Diagonal Scattering Matrix Elements: Exact Results, A. Nock, S. Kumar, H.-J. Sommers and T. Guhr, Annals of Physics 342, 103 (2014).
DOI Link:

Distribution of Scattering Matrix Elements in Quantum Chaotic Scattering, S. Kumar, A. Nock, H.-J. Sommers, T. Guhr, B. Dietz, M. Miski-Oglu, A. Richter, and F. Schäfer, Physical Review Letters 111, 030403 (2013).
DOI Link:

Random Matrix Ensembles: Wang-Landau Algorithm for Spectral Densities, S. Kumar, Europhysics Letters. 101, 20002 (2013).
DOI Link:

Entanglement in Random Pure States: Spectral Density and Average von Neumann Entropy, S. Kumar and A. Pandey, Journal of Physics A: Mathematical and Theoretical 44, 445301 (2011).
DOI Link:

Skew-Orthogonal Polynomials and Crossover Ensembles of Random Matrices, S. Kumar and A. Pandey, Annals of Physics 326, 1877 (2011).
DOI Link:

Conductance Distributions in Chaotic Mesoscopic Cavities, S. Kumar and A. Pandey, Journal of Physics A: Mathematical and Theoretical 43, 285101 (2010).
DOI Link:

Random Matrix Model for Nakagami-Hoyt Fading, S. Kumar and A. Pandey, IEEE Transactions on Information Theory 56, 2360 (2010).
DOI Link:

Jacobi Crossover Ensembles of Random Matrices and Statistics of Transmission Eigenvalues, S. Kumar and A. Pandey, Journal of Physics A: Mathematical and Theoretical 43, 085001 (2010).
DOI Link:

Universal Spectral Correlations in Orthogonal-Unitary and Symplectic-Unitary Crossover Ensembles of Random Matrices, S. Kumar and A. Pandey, Physical Review E 79, 026211 (2009).
DOI Link:

National and International Recognition
Reviewer for IEEE, APS, IOP, Springer, and Wiley journals

Invited talk at the international symposium ‘RMT, Time Series and Many-Body Systems’,Centro Internacional de Ciencias A. C.,Cuernavaca, Mexico (June, 2017)

Invited speaker at Mini Symposium of the 10th Conference on Nonlinear Systems and Dynamics (CNSD-2016), IISER Kolkata (December 2016)

Invited speaker at the workshop on "Random Product Matrices: New Developments & Applications", Bielefeld, Germany (August 2016)

Invited speaker at the "4th International Conference on Complex Dynamical Systems & Applications", NIT Durgapur, India (February 2016)

Invited speaker at the "IX Brunel-Bielefeld Workshop on Random Matrix Theory, Bielefeld", Germany (December 2013)

Invited speaker at the Langeoog conference of the Collaborative Research Center SFB/TR12 “Symmetries and universality in mesoscopic systems", Germany (February 2013)

Invited speaker at the workshop on Quantum chaos and quantum information, IIT Madras, Chennai, India (July, 2010)

CSIR-UGC fellowship, India (2005)

Gold Medalist of the M.Sc. Physics 2003-2005 batch at Jawaharlal Nehru University, New Delhi, with a grade average of 8.28 out of 9.
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