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Quantum Mechanical Derivation of the Wallis Formula for $\ pi$
Quantum Mechanical Derivation of the Wallis Formula for $\ pi$

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Quantized Vibrational Energy for a diatomic molecule

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... This is (24.1). The energy levels of a free relativistic fermion can be understood in much the same way. Interacting relativistic particles can be created and destroyed — a process which is most efficiently described in terms of quantum field theory. But it is possible to think of a free relativisti ...
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... collisions (to be defined below) that lead to the approach to equilibrium, and not in the properties of that equilibrium (such as the equation of state, compressibility etc.). In some cases (e.g. Fermi liquid theory) it is useful to take other effects of the interactions into account in a mean field ...
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Lattice Boltzmann methods

Lattice Boltzmann methods (LBM) (or Thermal Lattice Boltzmann methods (TLBM)) is a class of computational fluid dynamics (CFD) methods for fluid simulation. Instead of solving the Navier–Stokes equations, the discrete Boltzmann equation is solved to simulate the flow of a Newtonian fluid with collision models such as Bhatnagar-Gross-Krook (BGK). By simulating streaming and collision processes across a limited number of particles, the intrinsic particle interactions evince a microcosm of viscous flow behavior applicable across the greater mass.
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