"...Most of Introductory level QM deals with Linear Algebra at its base concepts. Along with that concept comes "linear superposition," which means that we can simply add the wavefunctions as they move with respect to each other.
No, waves cannot be considered to be a sum of particle states."
This semi-tramp desn't know if his old QM texbook outdated.
It tells: ...use wave function to describe particle state.
If the "linear superposition" of wave functions does not mean "a sum of particle states", what is it?
If someone misconsider it's "a sum of paricles moving with different momentum values", that's misconcept.
If you have a system of agents (whether human, biological, molecular or atomic), if you treat them as competitive entities (competing for money or energy, etc), then does not maximum entropy equate to maximum competition. Ergo can entropy be treated as a measure of or proxy for the level of competition in a system?
I'm not talking competition like a tournament.
Think of agent based modelling systems, where you have multiple agents all operating simultaneously and independently, such as economic agents in the economic market place or biological agents within an ecosystem. They are all competing for resource (money or energy).
Economic theory suggests that in a situation of perfect competition (i.e. maximum competition) then the outcome is even dispersion of the energy / money throughout all agents in the system. The outcome is no different to energy dispersing through a molecular system. The maths is the same.
So why do we not consider it to be the same thing?