Quantum stochastic calculus is a generalization of stochastic calculus to noncommuting variables. The tools provided by quantum stochastic calculus are...

Stochastic calculus is a branch of mathematics that operates on stochastic processes. It allows a consistent theory of integration to be defined for integrals...

Quantum calculus, sometimes called calculus without limits, is equivalent to traditional infinitesimal calculus without the notion of limits. The two...

emeritus at the Indian Statistical Institute and a pioneer of quantum stochastic calculus. Parthasarathy was the recipient of the Shanti Swarup Bhatnagar...

Motion and Stochastic Calculus. Springer. ISBN 978-1-4612-0949-2. Applebaum, David (2004). "Lévy processes: From probability to finance and quantum groups"...

scattering theory, spectral theory of Schrödinger operators, quantum stochastic calculus, noncommutative geometry, and, more broadly, in mathematical...

Mathematics of Classical and Quantum Physics (Revised ed.). Dover Publications. ISBN 978-0486671642. Weinstock, Robert (1974). Calculus of Variations with Applications...

ISBN 9783540706229. van de Wetering, John (2018). "Quantum theory is a quasi-stochastic process theory". Electronic Proceedings in Theoretical Computer...

The quantum mind or quantum consciousness is a group of hypotheses proposing that local physical laws and interactions from classical mechanics or connections...

Russian). 7 (5): 345–360. V. P. Belavkin (1992). "Quantum stochastic calculus and quantum nonlinear filtering". Journal of Multivariate Analysis. 42...

Itô calculus, named after Kiyosi Itô, extends the methods of calculus to stochastic processes such as Brownian motion (see Wiener process). It has important...

In quantum gravity, quantum geometry is the set of mathematical concepts that generalize geometry to describe physical phenomena at distance scales comparable...

what he saw as absurdities in the views that other physicists had about quantum mechanics (ideas later labeled the Copenhagen interpretation), by applying...

rules of calculus. There are two dominating versions of stochastic calculus, the Itô stochastic calculus and the Stratonovich stochastic calculus. Each of...

Quantum cryptography is the science of exploiting quantum mechanical properties to perform cryptographic tasks. The best known example of quantum cryptography...

known as a Markov process, and stochastic calculus, which involves differential equations and integrals based on stochastic processes such as the Wiener...

addition to classical wave model for understanding optical interference, quantum matter waves also demonstrate interference. The above can be demonstrated...

Stochastic quantum mechanics is a framework for describing the dynamics of particles that are subjected to an intrinsic random processes as well as various...

The many-worlds interpretation (MWI) is an interpretation of quantum mechanics that asserts that the universal wavefunction is objectively real, and that...

also relates quantum and stochastic processes, and this provided the basis for the grand synthesis of the 1970s, which unified quantum field theory with...

so-called Itô calculus. He also pioneered the world connections between stochastic calculus and differential geometry, known as stochastic differential...

Parthasarathy - TWAS Prize in Mathematics Awardee and pioneer of quantum stochastic calculus M. S. Raghunathan - Director of National Centre for Mathematics...

Diego. K. R. Parthasarathy, Indian mathematician, a pioneer of quantum stochastic calculus and professor emeritus at the Indian Statistical Institute. Madhava...

Quantum chaos is a branch of physics focused on how chaotic classical dynamical systems can be described in terms of quantum theory. The primary question...

the same way ordinary stochastic differential equations generalize ordinary differential equations. They have relevance to quantum field theory, statistical...

(set theory, Cantor's diagonal argument) Church–Rosser theorem (lambda calculus) Compactness theorem (mathematical logic) Conservativity theorem (mathematical...

Multivariable calculus (also known as multivariate calculus) is the extension of calculus in one variable to calculus with functions of several variables:...

In quantum field theory, the Casimir effect (or Casimir force) is a physical force acting on the macroscopic boundaries of a confined space which arises...

Schrödinger equation. It was an experimental milestone in the creation of quantum mechanics. According to Maxwell's equations in the late 19th century, light...

Supersymmetric theory of stochastic dynamics (STS) is a multidisciplinary approach to stochastic dynamics on the intersection of dynamical systems theory...