Experiments show that a charged particle moving in a magnetic field experiences a force F=Q(v×B) Q-the charge of the particle, v-the velocity of the particle(vector), B-the magnetic field. there is also an electric field, the force acting on the particle is F=Q(E+v×B)
European Options on Stock 12.2 Paying Continuous Dividends We get the same probability distribution for the stock price at time T in each of the following cases 1. The stock starts at price So and provides a continuous dividend yield q 2. The stock starts at price Soe-q' and provides no dividend yield
Application of MR2T2 algorithm in statistical mechanics Canonical ensemble: Distribution function: p(rN)=exp(-E(rN)/KT)/Q Q= JdrN exp(-E(rN)/kT) Different states of the Markov chain: In the application of Metropolis algorithm to a simulation of molecular system, the states of the Markov chain correspond to different configurations of the molecular system