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Publications Influence

Geometry on the quantum Heisenberg manifold

- Partha Sarathi Chakraborty, K. Sinha
- Mathematics
- 24 December 2001

Abstract A class of C ∗ -algebras called quantum Heisenberg manifolds were introduced by Rieffel in (Comm. Math. Phys. 122 (1989) 531) as strict deformation quantization of Heisenberg manifolds.… Expand

26 7- PDF

Stochastic Integral Representation of Bounded Quantum Martingales in Fock Space

- K. Parthasarathy, K. Sinha
- Mathematics
- 1 June 1986

It is a classical theorem of Kunita and Watanabe [6] that every square integrable martingale adapted to the standard Brownian motion can be uniquely expressed as the stochastic integral of a… Expand

71 5

Quantum random walk revisited

- K. Sinha
- Mathematics
- 2006

In the framework of the symmetric Fock space over L 2 (R + ), the details of the approximation of the four fundamental quantum stochastic increments by the four appropriate spin-matrices are studied.… Expand

11 4- PDF

On pairs of projections in a Hilbert space

We give an algebraic derivation of the canonical form of a generic pair of projections. The result is used to determine the spectral shift of a pair of projections and various properties of Fredholm… Expand

39 3

Spectral shift function and trace formula

- K. Sinha, A. Mohapatra
- Mathematics
- 1 November 1994

The complete proofs of Krein’s theorem on the spectral shift function and the trace formula are given for a pair of self-adjoint operators such that either (i) their difference is trace-class or (ii)… Expand

14 3

Hilbert Modules and Stochastic Dilation of a Quantum Dynamical Semigroup on a von Neumann Algebra

- Debashish Goswami, K. Sinha
- Mathematics
- 1 August 1999

Abstract:A general theory for constructing a weak Markov dilation of a uniformly continuous quantum dynamical semigroup Tt on a von Neumann algebra ? with respect to the Fock filtration is developed… Expand

55 2

Quantum Stochastic Processes and Noncommutative Geometry

- K. Sinha, Debashish Goswami
- Mathematics
- 25 January 2007

1. Introduction 2. Preliminaries 3. Quantum dynamical semigroups 4. Hilbert modules 5. Quantum stochastic calculus with bounded coefficients 6. Dilation of quantum dynamical semigroups with bounded… Expand

43 2- PDF

Quantum stop times

- L. Accardi, K. Sinha
- Mathematics
- 1989

The notion of stop-time can be naturally translated in a quantum probabilistic framework and this problem has been studied by several authors [1], [2], [3], [4], [5]. Recently Parthasarathy and Sinha… Expand

4 2

UNIFICATION OF QUANTUM NOISE PROCESSES IN FOCK SPACES

- K. Parthasarathy, K. Sinha
- Mathematics
- 1 October 1991

15 2