Kalyan Bidhan Sinha (K.B. Sinha) (born 3 June 1944) is an Indian mathematician. He is a professor at the Jawaharlal Nehru Centre for Advanced Scientific Research,[1] and Professor Emeritus for life of the Indian Statistical Institute.
Sinha was a post-doctoral research associate at the University of Geneva. During this time he co-authored, with Werner Amrein and Josef-Maria Jauch, a well-known book[4] on scattering theory, which used mathematically rigorous methods to develop the subject.
Sinha is President of the Association for Quantum Probability and Infinite Dimensional Analysis[6] (since 2013). He has served on numerous editorial boards, including those of Infinite Dimensional Analysis, Quantum Probability, and Related Topics,[7]Reviews in Mathematical Physics, and the Journal of Stochastic Analysis.[8]
Amrein, Werner O.; Jauch, Josef M.; Sinha, Kalyan B. Scattering theory in quantum mechanics. Physical principles and mathematical methods. Lecture Notes and Supplements in Physics, No. 16. W. A. Benjamin, Inc., Reading, Mass.-London-Amsterdam, 1977.
Amrein, W. O.; Sinha, Kalyan B. On pairs of projections in a Hilbert space. Linear Algebra Appl. 208/209 (1994), 425–435.
Goswami, Debashish; Sinha, Kalyan B. Hilbert modules and stochastic dilation of a quantum dynamical semigroup on a von Neumann algebra. Comm. Math. Phys. 205 (1999), no. 2, 377–403.
Parthasarathy, K. R.; Sinha, K. B. Stochastic integral representation of bounded quantum martingales in Fock space. J. Funct. Anal. 67 (1986), no. 1, 126–151.
Lindsay, J. Martin; Sinha, Kalyan B. Feynman-Kac representation of some noncommutative elliptic operators. J. Funct. Anal. 147 (1997), no. 2, 400–419.
^Amrein, Werner O.; Jauch, Josef M.; Sinha, Kalyan B. Scattering theory in quantum mechanics. Physical principles and mathematical methods. Lecture Notes and Supplements in Physics, No. 16. W. A. Benjamin, Inc., Reading, Mass.-London-Amsterdam, 1977