This post is based on my paper with Avy Soffer. Let us recall from Chapter 1 that the BEC occupies the lowest quantum state, at that point macroscopic quantum phenomena become apparent. Above the BEC are excited atoms, which occupy higher quantum states. The are two types of interactions: excited atoms – excited atoms, condensate atoms…… Continue reading Chapter 3: What else besides the condensate growth term?
This post is based on my joint work with Toan Nguyen. Milady de Winter is a spy for Cardinal Richelieu and the most beautiful female fictional character in the classic ”The Three Musketeers” by Alexandre Dumas (father). Being twenty-two, uncommonly beautiful, with brilliant blue eyes and a bewitching voice, Milady can seduce any men she wants.…… Continue reading Chapter 2: Could the beautiful, sexy Milady de Winter seduce all the men?
This post is based on my joint work with Ricardo Alonso and Irene M. Gamba. If a dilute gas of bosons, about one-hundred-thousandth the density of normal air, is cooled to a temperature very close to absolute zero (0 K or -273.15C), the gas will be changed into a new state of matter, called Bose-Einstein condensate (BEC).…… Continue reading Chapter 1. Condensate growth term: existence, uniqueness, propagations of moments
Please have a look at the About and Table of Contents also. In general, I am interested in understanding the mathematics behind the physics of classical and quantum gases, as well as dispersive waves. 1. Quantum gases: After the production of the first Bose-Einstein Condensates (BECs), that led to the 2001 Nobel Prize of Physics, there has…… Continue reading Chapter 0. Introduction