It takes the average reader 4 hours and 10 minutes to read Transforms in Quantum White Noise by Un Cig Ji
Assuming a reading speed of 250 words per minute. Learn more
This book is the first comprehensive monograph focusing on the recent developments of quantum white noise calculus and its applications. Quantum white noise calculus is a quantum extension of the Gaussian white noise calculus and provides a useful toolbox for the analysis of operators on Boson Fock space based on an infinite dimensional distribution theory of Schwartz type. This volume starts with the famous Wiener-Ito-Segal isomorphism between the Fock space and the L2-space over a Gaussian space, and systematically constructs Gelfand triples along which white noise operators are defined. The white noise operators cover a wide class of operators on Fock space including pointwisely defined annihilation and creation operators called quantum white noise and a white noise operator is regarded as a function of quantum white noise. The main purpose of this volume is to describe the new concept of quantum white noise derivatives, a kind of functional derivative for white noise operators. This idea leads to a new type of differential equations for white noise operators with applications in stochastic analysis and quantum physics. In particular, transforms of white noise functions and operators such as Fourier-Gauss transform, Fourier-Mehler transform, Bogoliubov transform, and quantum Girsanov transform are characterized as solutions to differential equations of new type. The development of quantum white noise derivative sheds fresh light on the study of Fock space operators.
Transforms in Quantum White Noise by Un Cig Ji is 250 pages long, and a total of 62,500 words.
This makes it 84% the length of the average book. It also has 76% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 5 hours and 41 minutes to read Transforms in Quantum White Noise aloud.
Transforms in Quantum White Noise is suitable for students ages 12 and up.
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