The Black-Scholes equation in finance: quantum mechanical approaches

DOI10.1016/j.physa.2023.128909MaRDI QIDQ6099026

Özlem Yeşiltaş

Publication date: 19 June 2023

Published in: Physica A (Search for Journal in Brave)

zbMATH Keywords

Black-Scholes modelquantum finance

Mathematics Subject Classification ID

Statistical mechanics, structure of matter (82-XX)

Cites Work

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• Exceptional orthogonal polynomials and exactly solvable potentials in position dependent mass Schrödinger Hamiltonians
• Intertwining operator method and supersymmetry for effective mass Schrödinger equations
• Study of the generalized quantum isotonic nonlinear oscillator potential
• Higher order supersymmetric truncated oscillators
• Resonance phenomena in option pricing with arbitrage
• An accurate solution for the generalized Black-Scholes equations governing option pricing
• Supersymmetry and shape invariance of exceptional orthogonal polynomials
• An extended class of orthogonal polynomials defined by a Sturm-Liouville problem
• Exceptional orthogonal polynomials and the Darboux transformation
• Supersymmetry as a method of obtaining new superintegrable systems with higher order integrals of motion
• On form-preserving transformations for the time-dependent Schrödinger equation
• Exact solutions via invariant approach for Black‐Scholes model with time‐dependent parameters
• Quantum Finance

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