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Quantum Algorithms

Revisiting Dirac and Schrödinger: A Proof Offered for the Non-Relativistic Time-Dependent Schrödinger Equation

arXiv

Authors: Ali Sanayei

Year

2013

Paper ID

32847

Status

Preprint

Abstract Read

~2 min

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Abstract

In this paper, three plausible axioms together with two definitions are employed to build an axiomatic framework, and then with the help of the Dirac formalism, it is demonstrated that the time-dependent Schrödinger wave equation is no longer a postulate for the whole theory, but a theorem. Subsequently, a proof for the theorem is presented. The result implies that the other remaining axioms of the picture essentially involve the Schrödinger equation, and this consequence lets the whole theory become stronger.

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In this paper, three plausible axioms together with two definitions are employed to build an axiomatic framework, and then with the help of the Dirac formalism, it is...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1309.1787 [2] arXiv https://arxiv.org/abs/1309.1787 [3] Publisher https://arxiv.org/abs/1309.1787

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