Following up with the London Dispersion Forces In mathematics, particularly in combinatorics, a Stirling number of the second kind (or Stirling partition number) is the number of ways to partition a set of n objects into k non-empty subsets. Stirling numbers of the second kind are one of two kinds of Stirling numbers, the other kind being called Stirling numbers of the first kind (or Stirling cycle numbers). Mutually inverse (finite or infinite) triangular matrices can be formed from the Stirling numbers of each kind according to the parameters n, k.

London Disperson Forces... I got your Stirling number of the second kind... you Sexy prime Freudenthal–Tits magic square Lie Algebra

Solving Fröhlich and Holstein Hamiltonians citing Fr ̈ohlich polaron and bipolaron: recent developments researchers consider, The Holstein Polaron Problem Revisited The main mathematical tool is a three-term recurrence relation between the wave function amplitudes that was obtained using the properties of a family of orthogonal functions, namely the Poisson-Charlier polynomials.

The falling factorial and Stirling Number may be applied to express quasiparticles or collective excitations that include phonons (particles derived from the vibrations of atoms in a solid), plasmons (particles derived from plasma oscillations), and many others.

These particles are typically called "quasiparticles" if they are related to fermions, and called "collective excitations" if they are related to bosons, although the precise distinction is not universally agreed upon. Thus, electrons and holes are typically called "quasiparticles", while phonons and plasmons are typically called "collective excitations".

The quasiparticle concept is most important in condensed matter physics since it is one of the few known ways of simplifying the quantum mechanical many-body problem.

List of quasiparticles

The behavior of superconductors suggests that electron pairs are coupling over a range of hundreds of nanometers, three orders of magnitude larger than the lattice spacing. Called Cooper pairs, these coupled electrons can take the character of a boson and condense into the ground state.

Low-Temperature Superconductors

Lev Davidovich Landau (22 January 1908 - April 1968) accomplishments include the independent co-discovery of the density matrix method in quantum mechanics (alongside John von Neumann), the quantum mechanical theory of diamagnetism, the theory of superfluidity, the theory of second-order phase transitions, the Ginzburg–Landau theory of superconductivity, the theory of Fermi liquid, the explanation of Landau damping in plasma physics, the Landau pole in quantum electrodynamics, the two-component theory of neutrinos, and Landau's equations for S matrix singularities.

Superconductor classification

In physics, the Landau–Lifshitz–Gilbert equation, named for Lev Landau and Evgeny Lifshitz and T. L. Gilbert, is a name used for a differential equation describing the precessional motion of magnetization M in a solid. It is a modification by Gilbert of the original equation of Landau and Lifshitz.

Lyapunov optimization for dynamical systems:

via

Foster's theorem

See

The Sexy prime Freudenthal–Tits magic square Lie Algebra

and

Three Laws, Four Basic Forces and Four types of bonds

applied with

Simpson's rule Consumer Problem with Hicksian demand

More specifically...

What is the chaos theory in psychology?

Chaos theory is the belief, propounded by Henri Poincare, that seemingly simple events could produce complex and confounding behaviors. It is a theory that was seen to have great potential for discovery among many fields including psychology.

Growing Our Economy 35th District of Texas, honorable United States Congressman Lloyd Doggett

Krugman, in 'The Self Organizing Economy' cites Herman Simon, who suggests the size of U.S. cities approximates a power law... more technically power spectra... example Schroeder gives in 'Fractals, Chaos, Power Laws' is one of an electron in an excited state trapped in a semiconductor...
Nonlinear Pricing: Theory and Applications
By Christopher T. May

The power spectral density (PSD) of the signal describes the power present in the signal as a function of frequency, per unit frequency. Power spectral density is commonly expressed in watts per hertz (W/Hz).