TY - JOUR
T1 - Quantum Mechanics Approach for Appropriately Chosen Hamiltonian
AU - Kaya, Ahmet
PY - 2022
DA - June
Y2 - 2022
DO - 10.29002/asujse.999472
JF - Aksaray University Journal of Science and Engineering
JO - Aksaray J. Sci. Eng.
PB - Aksaray Üniversitesi
WT - DergiPark
SN - 2587-1277
SP - 42
EP - 56
VL - 6
IS - 1
LA - en
AB - Risk 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.
In this paper, Dirac notations are operated to find the Hamiltonian matrix with the eigenvector basis for two and three-state cases, and its tensor product version with a change of basis.
KW - Ruin Probability
KW - Risk Theory
KW - Hamiltonian
KW - Quantum Mechanics
KW - Dirac Notations
KW - Tensor Product
KW - Non-life Insurance
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UR - https://doi.org/10.29002/asujse.999472
L1 - http://asujse.aksaray.edu.tr/tr/download/article-file/1989753
ER -