Sinha, Kalyan B. (Kalyan Bidhan) 1944
Overview
Works:  21 works in 66 publications in 1 language and 1,122 library holdings 

Genres:  Conference papers and proceedings Academic theses Popular works 
Roles:  Author, Editor 
Publication Timeline
.
Most widely held works by
Kalyan B Sinha
Scattering theory in quantum mechanics : physical principles and mathematical methods by
Werner O Amrein(
Book
)
10 editions published in 1977 in English and held by 337 WorldCat member libraries worldwide
10 editions published in 1977 in English and held by 337 WorldCat member libraries worldwide
Quantum stochastic processes and noncommutative geometry by
Kalyan B Sinha(
Book
)
17 editions published between 2006 and 2007 in English and held by 323 WorldCat member libraries worldwide
The classical theory of stochastic processes has important applications arising from the need to describe irreversible evolutions in classical mechanics; analogously quantum stochastic processes can be used to model the dynamics of irreversible quantum systems. Noncommutative, i.e. quantum, geometry provides a framework in which quantum stochastic structures can be explored. This book is the first to describe how these two mathematical constructions are related. In particular, key ideas of semigroups and complete positivity are combined to yield quantum dynamical semigroups (QDS). Sinha and Goswami also develop a general theory of EvansHudson dilation for both bounded and unbounded coefficients. The unique features of the book, including the interaction of QDS and quantum stochastic calculus with noncommutative geometry and a thorough discussion of this calculus with unbounded coefficients, will make it of interest to graduate students and researchers in functional analysis, probability and mathematical physics
17 editions published between 2006 and 2007 in English and held by 323 WorldCat member libraries worldwide
The classical theory of stochastic processes has important applications arising from the need to describe irreversible evolutions in classical mechanics; analogously quantum stochastic processes can be used to model the dynamics of irreversible quantum systems. Noncommutative, i.e. quantum, geometry provides a framework in which quantum stochastic structures can be explored. This book is the first to describe how these two mathematical constructions are related. In particular, key ideas of semigroups and complete positivity are combined to yield quantum dynamical semigroups (QDS). Sinha and Goswami also develop a general theory of EvansHudson dilation for both bounded and unbounded coefficients. The unique features of the book, including the interaction of QDS and quantum stochastic calculus with noncommutative geometry and a thorough discussion of this calculus with unbounded coefficients, will make it of interest to graduate students and researchers in functional analysis, probability and mathematical physics
Theory of semigroups and applications by
Kalyan B Sinha(
)
9 editions published in 2017 in English and held by 212 WorldCat member libraries worldwide
Publisher Description (unedited publisher data) This book combines the spirit of a textbook and of a monograph on the topic of Semigroups and their applications. It is expected to have potential users across a broad spectrum including operator theory, partial differential equations, harmonic analysis, probability and statistics and classical and quantum mechanics. A reasonable amount of familiarity with real analysis, including the Lebesgueintegration theory, basic functional analysis and bounded linear operators is assumed. However, any discourse on a theory of semigroups needs an introduction to unbounded linear operators, some elements of which have been included in the Appendix, along with the basic ideas of the Fourier transform and of Sobolev spaces. The chapters 4 through 6 contain advanced material, not often found in textbooks, but which have many interesting applications such as the FeynmanKac formula, the central limit theorem and the construction of Markov semigroups. The exercises are given in the text as the topics are developed, so that the interested reader can be persuaded to solve these as a part of learning that topic
9 editions published in 2017 in English and held by 212 WorldCat member libraries worldwide
Publisher Description (unedited publisher data) This book combines the spirit of a textbook and of a monograph on the topic of Semigroups and their applications. It is expected to have potential users across a broad spectrum including operator theory, partial differential equations, harmonic analysis, probability and statistics and classical and quantum mechanics. A reasonable amount of familiarity with real analysis, including the Lebesgueintegration theory, basic functional analysis and bounded linear operators is assumed. However, any discourse on a theory of semigroups needs an introduction to unbounded linear operators, some elements of which have been included in the Appendix, along with the basic ideas of the Fourier transform and of Sobolev spaces. The chapters 4 through 6 contain advanced material, not often found in textbooks, but which have many interesting applications such as the FeynmanKac formula, the central limit theorem and the construction of Markov semigroups. The exercises are given in the text as the topics are developed, so that the interested reader can be persuaded to solve these as a part of learning that topic
Contributions in mathematical physics : a tribute to Gerard G. Emch(
)
8 editions published in 2007 in English and held by 181 WorldCat member libraries worldwide
Gérard G. Emch, b. 1936, mathematical physicist and quantum mechanic; contributed articles
8 editions published in 2007 in English and held by 181 WorldCat member libraries worldwide
Gérard G. Emch, b. 1936, mathematical physicist and quantum mechanic; contributed articles
Scattering theory in quantum mechanics : physical principles and mathematical methods by
Werner O Amrein(
Book
)
4 editions published in 1977 in English and Undetermined and held by 40 WorldCat member libraries worldwide
4 editions published in 1977 in English and Undetermined and held by 40 WorldCat member libraries worldwide
Unitary processes with independent increments and representations of Hilbert tensor algebras by Lingaraj Sahu(
)
2 editions published in 2007 in English and held by 9 WorldCat member libraries worldwide
2 editions published in 2007 in English and held by 9 WorldCat member libraries worldwide
Contributions in Mathematical Physics A Tribute to Gerard G. Emch(
)
1 edition published in 2007 in English and held by 6 WorldCat member libraries worldwide
1 edition published in 2007 in English and held by 6 WorldCat member libraries worldwide
Quantum stochastic processes and noncommutative geometry by
Kalyan B Sinha(
Book
)
1 edition published in 2006 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2006 in English and held by 2 WorldCat member libraries worldwide
Special issue on spectral and inverse spectral theory by Workshop "Spectral and Inverse Spectral Theory"(
Book
)
1 edition published in 1994 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1994 in English and held by 2 WorldCat member libraries worldwide
Schrödinger operators with empty singularly continuous spectra by Michael Demuth(
Book
)
1 edition published in 1999 in English and held by 1 WorldCat member library worldwide
1 edition published in 1999 in English and held by 1 WorldCat member library worldwide
The cocycle identity holds under Stopping(
)
1 edition published in 2017 in English and held by 1 WorldCat member library worldwide
Abstract In recent work of the authors, it was shown how to use any finite quantum stop time to stop the CCR flow and its strongly continuous isometric cocycles (Q. J. Math. 65:1145–1164, 2014). The stopped cocycle was shown to satisfy a stopped form of the cocycle identity, valid for deterministic increments of the time used for stopping. Here, a generalization of this identity is obtained, where both cocycle parameters are replaced with finite quantum stop times
1 edition published in 2017 in English and held by 1 WorldCat member library worldwide
Abstract In recent work of the authors, it was shown how to use any finite quantum stop time to stop the CCR flow and its strongly continuous isometric cocycles (Q. J. Math. 65:1145–1164, 2014). The stopped cocycle was shown to satisfy a stopped form of the cocycle identity, valid for deterministic increments of the time used for stopping. Here, a generalization of this identity is obtained, where both cocycle parameters are replaced with finite quantum stop times
On boundedness and [formula] continuity of second quantisation by
Huzihiro Araki(
Book
)
1 edition published in 1995 in English and held by 1 WorldCat member library worldwide
Abstract: "In this short note, we determine precisely which operators have the property that their (full, symmetric or antisymmetric) second quantisation is an operator which is bounded or belongs to one of the various Schatten ideals; we also note that in 'the interior' of the natural domain, the second quantisation is a continuous map."
1 edition published in 1995 in English and held by 1 WorldCat member library worldwide
Abstract: "In this short note, we determine precisely which operators have the property that their (full, symmetric or antisymmetric) second quantisation is an operator which is bounded or belongs to one of the various Schatten ideals; we also note that in 'the interior' of the natural domain, the second quantisation is a continuous map."
<> by
A Mohapatra(
)
1 edition published in 1992 in English and held by 1 WorldCat member library worldwide
1 edition published in 1992 in English and held by 1 WorldCat member library worldwide
Time delay and resonances in potential scattering by
Werner Oskar Amrein(
)
1 edition published in 2006 in English and held by 1 WorldCat member library worldwide
1 edition published in 2006 in English and held by 1 WorldCat member library worldwide
A random TrotterKato product formula by
K. R Parthasarathy(
)
1 edition published in 1982 in English and held by 1 WorldCat member library worldwide
1 edition published in 1982 in English and held by 1 WorldCat member library worldwide
Scattering theory in quantum mechanics: physical principles and mathematical methods by
Werner O Amrein(
Book
)
2 editions published in 1977 in English and held by 1 WorldCat member library worldwide
2 editions published in 1977 in English and held by 1 WorldCat member library worldwide
A noninteraction theorem for a class of Bose fields by
Kalyan B Sinha(
)
1 edition published in 1969 in English and held by 1 WorldCat member library worldwide
1 edition published in 1969 in English and held by 1 WorldCat member library worldwide
On pairs of projections in a Hilbert space by
Werner Oskar Amrein(
)
1 edition published in 1994 in English and held by 1 WorldCat member library worldwide
1 edition published in 1994 in English and held by 1 WorldCat member library worldwide
Understanding mathematics(
Book
)
1 edition published in 2000 in English and held by 1 WorldCat member library worldwide
1 edition published in 2000 in English and held by 1 WorldCat member library worldwide
Quantum flows with unbounded structure maps and finite degrees of freedom by
Franco Fagnola(
Book
)
1 edition published in 1990 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 1990 in English and held by 0 WorldCat member libraries worldwide
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Related Identities
 Amrein, Werner O. Author Creator
 Jauch, Josef M. (Josef Maria) 19141974
 Goswami, Debashish
 Srivastava, Sachi Other
 Emch, Gérard G. Honoree
 Ali, S. Twareque (Syed Twareque) Editor
 Ali, S. Twareque Editor
 Sahu, Lingaraj Author
 Schürmann, Michael
 Ali, Syed Twareque Editor
Associated Subjects
Differential equations Differential equations, Partial Functional analysis Functions of real variables Geometric quantization Hilbert space Inverse problems (Differential equations) Mathematical physics Mathematics MathematicsStudy and teaching Noncommutative differential geometry Quantum groups Quantum theory Scattering (Mathematics) Scattering (Physics) Semigroups Spectral theory (Mathematics) Stochastic processes Topology