Hello, bonjour, ahn nyeong, salvete, Welcome to the seventh homework session of Statistical Mechanics: Algorithms and Computations from the Physics Department of Ecole Normale Supérieure. This week has given rise to a providential Quantum Monte Carlo algorithm for ideal bosons. It was by this algorithm, implemented in a few lines in Python, that we studied the fascinating subject of Bose-Einstein condensation for many hundreds and even thousands of particles in a three-dimensional harmonic trap. So it 's now up to you to thoroughly investigate this algorithm and to study some of the physical properties of the Bose gas. At low temperature there are spectacular effects that you will study in detail Surprisingly, also at high temperature there are effects of the bosonic statistics and our, your Quantum Monte Carlo algorithm is powerful enough to see them. We left out the treatment of Bosons interacting with each other via a pair potential. But remember: this is not a serious restriction: because in an ideal Bose gas the main effect is the curious statistical interaction that comes from the indiscernability of the particles in the trap. So good luck, and have fun with homework session 7.