https://www.math.snu.ac.kr/board/files/attach/images/701/ff97c54e6e21a4ae39315f9a12b27314.png
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.
Atachment
첨부 '1'
  1. Contact topology and the three-body problem

  2. Harmonic bundles and Toda lattices with opposite sign

  3. Mathematical Analysis Models and Siumlations

  4. Connes's Embedding Conjecture and its equivalent

  5. Connectedness of a zero-level set as a geometric estimate for parabolic PDEs

  6. Combinatorial Laplacians on Acyclic Complexes

  7. 학부생을 위한 ε 강연회: Mathematics from the theory of entanglement

  8. L-function: complex vs. p-adic

  9. 학부생을 위한 ε 강연회: Sir Isaac Newton and scientific computing

  10. A brief introduction to stochastic models, stochastic integrals and stochastic PDEs

  11. Mixed type PDEs and compressible flow

  12. Freudenthal medal, Klein medal 수상자의 수학교육이론

  13. Compressible viscous Navier-Stokes flows: Corner singularity, regularity

  14. 학부생을 위한 ε 강연회: Constructions by ruler and compass together with a conic

  15. Non-commutative Lp-spaces and analysis on quantum spaces

  16. Randomness of prime numbers

  17. Space.Time.Noise

  18. 학부생을 위한 강연회: Tipping Point Analysis and Influence Maximization in Social Networks

  19. Role of Computational Mathematics and Image Processing in Magnetic Resonance Electrical Impedance Tomography (MREIT)

  20. On Ingram’s Conjecture

Board Pagination Prev 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Next
/ 15