Extra Form
강연자 지운식
소속 충북대학교
date 2011-04-14
We start with the famous Heisenberg uncertainty principle to give the idea of the probability in quantum mechanics. The Heisenberg uncertainty principle states by precise inequalities that the product of uncertainties of two physical quantities, such as momentum and position (operators), must be greater than certain (strictly positive) constant, which means that if we know one of the quantities more precisely, then we know the other one less precisely. Therefore, in quantum mechanics, predictions should be probabilistic, not deterministic, and then position and momentum should be considered as random variables to measure their probabilities.
In mathematical framework, the noncommutative probability is another name of quantum probability, and a quantum probability space consists of an -algebra of operators on a Hilbert space and a state (normalized positive linear functional) on the operator algebra. We study the basic notions in quantum probability theory comparing with the basic notions in classical (commutative) probability theory, and we also study the fundamental theory of quantum stochastic calculus motivated by the classical stochastic calculus.
Finally, we discuss several applications with future prospects of classical and quantum probability theory.
첨부 '1'
List of Articles
카테고리 제목 소속 강연자
수학강연회 Introduction to Non-Positively Curved Groups file KAIST 김상현
수학강연회 Noncommutative Geometry. Quantum Space-Time and Diffeomorphism Invariant Geometry file 서울대학교 Raphael Ponge
수학강연회 행렬함수 Permanent의 극소값 결정과 미해결 문제들 file 제주대학교/서울대학교 송석준
수학강연회 The Mathematics of the Bose Gas and its Condensation file KAIST 이지운
수학강연회 Codimension Three Conjecture file 교토대학교/서울대학교 Masaki Kashiwara
수학강연회 학부생을 위한 강연: 건축과 수학 file UI 건축사무소 위진복
수학강연회 Classical and Quantum Probability Theory file 충북대학교 지운식
수학강연회 Iwasawa main conjecture and p-adic L-functions file 포항공과대학교 박지훈
수학강연회 학부생을 위한 강연: Choi's orthogonal Latin Squares is at least 61 years earlier than Euler's file 연세대학교 송홍엽
수학강연회 젊은과학자상 수상기념강연: From particle to kinetic and hydrodynamic descriptions to flocking and synchronization file 서울대학교 하승열
수학강연회 Sums of squares in quadratic number rings file Univ. of Kentucky David Leep
수학강연회 Fano manifolds of Calabi-Yau Type file 서울대학교 Atanas Iliev
수학강연회 곡선의 정의란 무엇인가? file 서울대학교 김영훈
수학강연회 The significance of dimensions in mathematics file Kyoto Univ./서울대학교 Heisuke Hironaka
수학강연회 Fermat´s last theorem file 카이스트 최서현
수학강연회 It all started with Moser file Univ. of Wisconsin/포항공대 Paul Rabinowitz
수학강연회 On some nonlinear elliptic problems file Paul Sabatier University, Toulouse Yuri Egorov
수학강연회 Topology and number theory file Univ. College London/포항공대 김민형
수학강연회 Conservation laws and differential geometry file Univ. of Wisconsin Marshall Slemrod
수학강연회 학부학생을 위한 강연회: 기하학과 우주론 file 홍익대학교 이남훈
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