https://www.math.snu.ac.kr/board/files/attach/images/701/ff97c54e6e21a4ae39315f9a12b27314.png
Extra Form
Lecturer 지운식
Dept. 충북대학교
date Apr 14, 2011
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.
Atachment
Attachment '1'
List of Articles
Category Subject Dept. Lecturer
Math Colloquia Freudenthal medal, Klein medal 수상자의 수학교육이론 file 서울대 수학교육과 권오남
Math Colloquia Normal form reduction for unconditional well-posedness of canonical dispersive equations file KAIST 권순식
Math Colloquia Contact topology of singularities and symplectic fillings file 순천대학교 권명기
Math Colloquia 학부생을 위한 강연: A COMBINATORIAL FORMULA FOR INFORMATION FLOW IN A NETWORK file Univ. of Rhode Island/서울대학교 국웅
Math Colloquia Combinatorial Laplacians on Acyclic Complexes file 서울대학교 국웅
Math Colloquia <학부생을 위한 ɛ 강연> Continuous-time Portfolio Selection file 아주대학교 금융공학과 구형건
Math Colloquia Solver friendly finite element methods file Oklahoma State Univ. 구자언
Math Colloquia 학부생을 위한 강연회: What is the algebraic number theory? file KAIST 구자경
Math Colloquia Topology of configuration spaces on graphs file KAIST 고기형
Math Colloquia 학부생을 위한 ε 강연회: Mathematics from the theory of entanglement file 서울대학교 계승혁
Math Colloquia <정년퇴임 기념강연> 작용소대수와 양자정보이론 file 서울대학교 계승혁
Math Colloquia Spectral Analysis for the Anomalous Localized Resonance by Plasmonic Structures file 인하대학교 강현배
Math Colloquia <학부생을 위한 ε 강연> Variable-driven sociological research with data innovations file 연세대학교 강정한
Math Colloquia Periodic orbits in symplectic geometry file 서울대 강정수
Math Colloquia Gaussian free field and conformal field theory file 서울대학교 강남규
Math Colloquia Random conformal geometry of Coulomb gas formalism file 서울대학교 강남규
Math Colloquia Conformal field theory in mathematics file 고등과학원 강남규
Math Colloquia Brownian motion with darning and conformal mappings file University of Washington Zhen-Qing Chen
Math Colloquia Anomalous diffusions and fractional order differential equations file University of Washington Zhen-Qing Chen
Math Colloquia On some nonlinear elliptic problems file Paul Sabatier University, Toulouse Yuri Egorov
Board Pagination Prev 1 2 3 4 5 6 7 8 9 10 11 12 Next
/ 12