Quantum finance utilizes the mathematical frameworks of quantum mechanics—specifically and Feynman path integrals —to model complex financial systems like option pricing and interest rate dynamics.
Feynman path integrals offer a method to calculate the probability of asset price transitions by summing over all possible price trajectories. PATH INTEGRALS AND HAMILTONIANS Quantum Finance: Path Integrals and Hamiltonian...
: The Hamiltonian formulation allows for the use of "financial potentials" to model market conditions and "eigenfunctions" to find exact solutions for various path-dependent options. 2. Path Integrals and Asset Pricing Quantum Finance: Path Integrals and Hamiltonian...
) serves as the generator of time evolution for financial instruments. Quantum Finance: Path Integrals and Hamiltonian...
This approach provides a powerful alternative to traditional stochastic calculus by reformulating financial evolution as the motion of states in a linear vector space. 1. The Hamiltonian in Finance The Hamiltonian (