# Chapter 7: Coupling kinetic and Schrodinger equations – A simplified model by Soffer and Tran.

This post is based on my joint paper with Avy Soffer. When a bose gas is cooled below the Bose-Einstein critical temperature, the Bose-Einstein condensate is formed, consisting of a macroscopic number of particles, all in the ground state of the system. As we have already known from previous chapters (Chapters 1 &3), a finite … Continue reading Chapter 7: Coupling kinetic and Schrodinger equations – A simplified model by Soffer and Tran.

# Chapter 6: Derivation of quantum kinetic equations

This post is based on my joint work with Linda E. Reichl. Let us recall from the previous chapters 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: … Continue reading Chapter 6: Derivation of quantum kinetic equations

# Chapter 5: Chemical reaction network and quantum kinetic theories. The key of a successful marriage.

This post is based on my joint work with Gheorghe Craciun. In this chapter, I will try to answer the following conjecture: ''What is the key for the marriage of chemical reaction network and quantum kinetic theories to be successful?'' The behavior of reactor vessels used in chemical engineering are often based on systems of nonlinear ordinary … Continue reading Chapter 5: Chemical reaction network and quantum kinetic theories. The key of a successful marriage.