Modified Heisenberg Commutation Relations, Free Schrödinger Equations, Tunnel Effect and Its Connections with the Black–Scholes Equation

Modified Heisenberg Commutation Relations, Free Schrödinger Equations, Tunnel Effect and Its Connections with the Black–Scholes Equation

This paper explores the implications of modifying the canonical Heisenberg commutation relations over two simple systems, such as the free particle and the tunnel effect generated by a step-like potential. The modified commutation relations include position-dependent and momentum-dependent terms ana...

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Bibliographic Details
Main Authors: Mauricio Contreras González, Roberto Ortiz Herrera, José González Suárez
Format: Article
Language:English
Published: MDPI AG 2025-01-01
Series:Axioms
Subjects:
modified Heisenberg commutation relations
quantum mechanics
tunnel effect
Black–Scholes equation
econophysics
Online Access:https://www.mdpi.com/2075-1680/14/1/60
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