Option price dynamics equation and models of quantum mechanics

Quantum Neural Computation for Option Price Modelling

We propose a new cognitive framework for option price modelling, using quantum neural computation formalism. Briefly, when we apply a classical nonlinear neuralnetwork learning to a linear quantum Schrödinger equation, as a result we get a nonlinear Schrödinger equation (NLS), performing as a quantum stochastic filter. In this paper, we present a bidirectional quantum associative memory model f...

Supersymmetric Quantum Mechanics and Painlevé IV Equation

As it has been proven, the determination of general one-dimensional Schrödinger Hamiltonians having third-order differential ladder operators requires to solve the Painlevé IV equation. In this work, it will be shown that some specific subsets of the higher-order supersymmetric partners of the harmonic oscillator possess third-order differential ladder operators. This allows us to introduce a s...

Quantum Mechanics and the Mechanism of Sexual Reproduction

There are many claims that quantum mechanics plays a key role in the origin and/or operation of biological organisms. The mechanism of the meiosis, mitosis and gametes life cycle from the view-point of quantum for human has been represented. The quantum gates have been used to simulate these processes for the first time. The reason of several hundred sperms has been explained in the male too

Quantum Mechanics and the Mechanism of Sexual Reproduction

There are many claims that quantum mechanics plays a key role in the origin and/or operation of biological organisms. The mechanism of the meiosis, mitosis and gametes life cycle from the view-point of quantum for human has been represented. The quantum gates have been used to simulate these processes for the first time. The reason of several hundred sperms has been explained in the male too

Classical models of quantum mechanics