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Schrödinger group and quantum finance

Using the one dimensional free particle symmetries, the quantum finance symmetries are obtained. Namely, it is shown that Black-Scholes equation is invariant under Schrödinger group. In order to do this, the one dimensional free non-relativistic particle and its symmetries are revisited. To get the Black-Scholes equation symmetries, the particle mass is identified as the inverse of square of the volatility. Furthermore, using financial variables, a Schrödinger algebra representation is constructed.

preprint2013arXivOpen access
Juan M. RomeroUlises LavanaElio Martínez
q-fin.GNphysics.gen-ph
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Juan M. RomeroUlises LavanaElio Martínez

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