Quantum Mechanics Approach for Appropriately Chosen Hamiltonian

Ahmet Kaya

doi:10.29002/asujse.999472

EN

Quantum Mechanics Approach for Appropriately Chosen Hamiltonian

Abstract

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.

Keywords

References

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Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Ahmet Kaya ^*
0000-0001-5109-8130
Türkiye

Publication Date

June 30, 2022

Submission Date

September 22, 2021

Acceptance Date

January 26, 2022

Published in Issue

Year 2022 Volume: 6 Number: 1

DOI

https://doi.org/10.29002/asujse.999472

IZ

https://izlik.org/JA57KZ85ZR

Cite

RIS / Bibtex

APA

Kaya, A. (2022). Quantum Mechanics Approach for Appropriately Chosen Hamiltonian. Aksaray University Journal of Science and Engineering, 6(1), 42-56. https://doi.org/10.29002/asujse.999472

Quantum Mechanics Approach for Appropriately Chosen Hamiltonian

Abstract

Keywords

Öz

References

Details

Primary Language

Subjects

Journal Section

Authors

Publication Date

Submission Date

Acceptance Date

Published in Issue

DOI

IZ

Cite