Classical and Quantum White Noise Theory

분야Field	2018 Math Colloquium
날짜Date	2018-03-23 ~ 2018-03-23	시간Time	15:50 ~ 18:00
장소Place	Math. Bldg. 404	초청자Host	김건우
연사Speaker	Un Cig Ji	소속Affiliation	Chungbuk National University
TOPIC	Classical and Quantum White Noise Theory
소개 및 안내사항Content	Title: Classical and Quantum White Noise Theory Abstract: By inviting the infinite dimensional distribution theory, we introduce precise definitions of (classical) white noise and quantum white noise. Based on the classical and quantum white noise theory, we discuss classical and quantum stochastic calculus, and we introduce the quantum white noise derivatives of white noise operators as a quantum counterpart of Malliavin, Hida and Gross derivatives. Then we study some applications of the quantum white noise derivatives to Bogoliubov transformation and the quantum extension of the (classical) Girsanov transformation.

학회명Field	Classical and Quantum White Noise Theory
날짜Date	2018-03-23 ~ 2018-03-23	시간Time	15:50 ~ 18:00
장소Place	Math. Bldg. 404	초청자Host	김건우
소개 및 안내사항Content	Title: Classical and Quantum White Noise Theory Abstract: By inviting the infinite dimensional distribution theory, we introduce precise definitions of (classical) white noise and quantum white noise. Based on the classical and quantum white noise theory, we discuss classical and quantum stochastic calculus, and we introduce the quantum white noise derivatives of white noise operators as a quantum counterpart of Malliavin, Hida and Gross derivatives. Then we study some applications of the quantum white noise derivatives to Bogoliubov transformation and the quantum extension of the (classical) Girsanov transformation.

성명Field	Classical and Quantum White Noise Theory
날짜Date	2018-03-23 ~ 2018-03-23	시간Time	15:50 ~ 18:00
소속Affiliation	Chungbuk National University	초청자Host	김건우
소개 및 안내사항Content	Title: Classical and Quantum White Noise Theory Abstract: By inviting the infinite dimensional distribution theory, we introduce precise definitions of (classical) white noise and quantum white noise. Based on the classical and quantum white noise theory, we discuss classical and quantum stochastic calculus, and we introduce the quantum white noise derivatives of white noise operators as a quantum counterpart of Malliavin, Hida and Gross derivatives. Then we study some applications of the quantum white noise derivatives to Bogoliubov transformation and the quantum extension of the (classical) Girsanov transformation.

성명Field	Classical and Quantum White Noise Theory
날짜Date	2018-03-23 ~ 2018-03-23	시간Time	15:50 ~ 18:00
호실Host		인원수Affiliation	Un Cig Ji
사용목적Affiliation	김건우	신청방식Host	Chungbuk National University
소개 및 안내사항Content	Title: Classical and Quantum White Noise Theory Abstract: By inviting the infinite dimensional distribution theory, we introduce precise definitions of (classical) white noise and quantum white noise. Based on the classical and quantum white noise theory, we discuss classical and quantum stochastic calculus, and we introduce the quantum white noise derivatives of white noise operators as a quantum counterpart of Malliavin, Hida and Gross derivatives. Then we study some applications of the quantum white noise derivatives to Bogoliubov transformation and the quantum extension of the (classical) Girsanov transformation.