By using the Hamiltonian formulation, we demonstrate that the Merton-Garman equation
emerges naturally from the Black-Scholes equation after imposing invariance (symmetry) …

The spontaneous symmetry breaking phenomena applied to Quantum Finance considers
that the martingale state in the stock market corresponds to a ground (vacuum) state if we …

We review some general aspects about the Black–Scholes equation, which is used for
predicting the fair price of an option inside the stock market. Our analysis includes the …

The Revenue Management (RM) problem in airlines for a fixed capacity, single resource
and two classes has been solved before by using a standard formalism. In this paper we …

Risk-sensitive maximum principle and verification theorem for controlled system with delay
is obtained by virtue of classical convex variational technique. The prime feature in the …

A well-known challenge in finance is to price options efficiently and precisely. Quantum
approach is being examined in the hopes of making more effective computers to price …

It was demonstrated previously that the stochastic volatility emerges as the gauge field
necessary for restoring the local symmetry under changes of the prices of the stocks inside …

It is hard to overstate the importance that the concept of symmetry has had in every field of
physics, a fact alluded to by the Nobel Prize winner PW Anderson, who once wrote that" …

Innovative Teaching and Learning http://doi. org/10.4208/itl. 20230105 Vol. 4, No. 2, pp. 73-
93 September 2023 Hitherto it has been a real challenge to integrate innovations in …

This paper presented and evaluated obstacles and solutions for these problems in building
quantum computers. From the perspective of hardware, problems such as processing and …