Open Science Repository Physics

doi: 10.7392/openaccess.23050410

Quantum Mathematics in Relation to Quantum Physics

Manahel Thabet

United Arab Emirates (UAE)

Abstract

In Quantum Mathematics, the evolution of the states of a dynamical system is deterministic. For instance, given time t, the states of the system are completely determined by the dynamical state at the initial time t. Suppose, a question like x^2-2x+2=0 is solved using completing square method, you will realize that finding the square root of √-1 is impossible; hence, this is a complex number. Additionally, solving a problem of finding a formula for a power of a square matrix A requires the construction of matrices which transform A into diagonal matrix. It is done with any square matrix A, associating homogeneous linear equations Ax=0. Such set of equations will only have non-trivial solutions set if det A=0. These are defined as eigenvalues and eigenvectors. To understand quantum mathematics, one must understand the mathematical models and theories to gain insight for employing physics and mechanics in it. Some mathematicians have solved quantum problems using philosophical approaches which is favorable to them; the strategy I have used is to treat finitely dimensional operators and numbers in some detail and to indicate in general terms how the sane ideas are applied in the physics case.

Keywords: quantum physics, quantum mathematics.

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Cite this paper

APA

Thabet, M. (2013). Quantum Mathematics in Relation to Quantum Physics. Open Science Repository Physics, Online(open-access), e23050410. doi:10.7392/openaccess.23050410

MLA

Thabet, Manahel. “Quantum Mathematics in Relation to Quantum Physics.” Open Science Repository Physics Online.open-access (2013): e23050410.

Chicago

Thabet, Manahel. “Quantum Mathematics in Relation to Quantum Physics.” Open Science Repository Physics Online, no. open-access (August 30, 2013): e23050410. doi:10.7392/openaccess.23050410.

Harvard

Thabet, M., 2013. Quantum Mathematics in Relation to Quantum Physics. Open Science Repository Physics, Online(open-access), p.e23050410.

Science

1. M. Thabet, Quantum Mathematics in Relation to Quantum Physics, Open Science Repository Physics Online, e23050410 (2013).

Nature

1. Thabet, M. Quantum Mathematics in Relation to Quantum Physics. Open Science Repository Physics Online, e23050410 (2013).

doi

Research registered in the DOI resolution system as: 10.7392/openaccess.23050410.

This work is licensed under a Creative Commons Attribution 3.0 Unported License.

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