Abstract
This chapter introduces the main theme of the book: quantum finance theory using quantum anharmonic oscillator model. It begins with quantum financial particle (QFP) concept and their intrinsic quantum energy fields, the so-called quantum price field (QPF). It studies the notion of quantum price in quantum finance and its relationship with quantum energy level. After that, it examines the Schrödinger equation and explores the physical meaning of wave function (\(\psi\)) followed by studying the core of this chapter—the five key players in secondary financial markets—market makers, arbitrageurs, speculators, hedgers and investors inclusive of their roles, characteristics, and behaviors. After that, it studies classical financial dynamics and the notion of excess demand. Based on the definition of excess demand, it derives quantum dynamics of these five key parties and deduces the overall quantum dynamic equation of their combined behaviors in secondary financial market. It will then revisit Schrödinger equation and combine it with the author’s latest work on quantum dynamics modeling of various parties in a secondary financial market, along with a step-by-step mathematical derivation of quantum finance Schrödinger equation.
The mathematical framework of quantum theory has passed countless successful tests and is now universally accepted as a consistent and accurate description of all atomic phenomena.
Erwin Schrödinger (1887–1961)
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Lee, R.S.T. (2020). Quantum Finance Theory. In: Quantum Finance. Springer, Singapore. https://doi.org/10.1007/978-981-32-9796-8_4
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DOI: https://doi.org/10.1007/978-981-32-9796-8_4
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