aksaray j. sci. eng.Aksaray University Journal of Science and Engineering2587-1277Aksaray ÜniversitesiQuantum Mechanics Approach for Appropriately Chosen HamiltonianKayaAhmetNEVŞEHİR HACI BEKTAŞ VELİ ÜNİVERSİTESİhttps://orcid.org/0000-0001-5109-813010.29002/asujse.999472063020226142560922202101262022Risk theory has always played a significant role in mathematical finance and actuarial sciences. A novel approach to the risk theory of non-life insurance is quantum mechanics. To compute finite-time non-ruin probability, I introduce the quantum mechanics formalism in discrete space and continuous space with the appropriately chosen Hamiltonian. By using the quantum mechanics approach and the stochastic method, the non-ruin operator is defined, and tensor products of operator concepts are presented for several examples.
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