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On some conditionally solvable quantum-mechanical problems
(IOP Publishing, 2020-09-03)
We analyze two conditionally solvable quantum-mechanical models: a one-dimensional sextic oscillator and a perturbed Coulomb problem. Both lead to a three-term recurrence relation for the expansion coefficients. We show ...
Quasi-exact solvability and entropies of the one dimensional regularised Calogero model
(IOP Publishing, 2018-04-17)
The Calogero model can be regularised through the introduction of a cutoff parameter which removes the divergence in the interaction term. In this work we show that the one-dimensional two-particle regularised Calogero ...
Information-theoretic features of many fermion systems: An exploration based on exactly solvable models
(Molecular Diversity Preservation International, 2021-11)
Finite quantum many fermion systems are essential for our current understanding of Nature. They are at the core of molecular, atomic, and nuclear physics. In recent years, the application of information and complexity ...
Short-time behaviour of demand and price viewed through an exactly solvable model for heterogeneous interacting market agents
(ELSEVIER SCIENCE BV, 2009)
We introduce a stochastic heterogeneous interacting-agent model for the short-time non-equilibrium evolution of excess demand and price in a stylized asset market. We consider a combination of social interaction within ...