• Corpus ID: 227247729

A new proposal to the extension of complex numbers.

@article{Medina2020ANP,
  title={A new proposal to the extension of complex numbers.},
  author={Israel A. Gonz'alez Medina},
  journal={arXiv: General Physics},
  year={2020}
}
We propose the extension of the complex numbers to be the new domain where new concepts, like negative and imaginary probabilities, can be defined. The unit of the new space is defined as the solution of the unsolvable equation in the complex domain: $|z|^2= z^* z = i$. The existence of the unsolvable equation in a closed domain as complex's lead to the definition of a new type of multiplication, for not violate the fundamental theorem of algebra. The definition of the new space also requests… 

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SHOWING 1-9 OF 9 REFERENCES

A new proposal for a quantum theory for isolated n-particle systems with variable masses connected by a field with variable form

We propose a new quantum approach for describing a system of $n$ interacting particles with variable mass connected by an unknown field with variable form ($n$-VMVF systems). Instead of assuming any

Bakerian Lecture - The physical interpretation of quantum mechanics

  • P. Dirac
  • Physics
    Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
  • 1942
Modern developments of atomic theory have required alterations in some of the most fundamental physical ideas. This has resulted in its being usually easier to discover the equations that describe

Negative probability

  • A. Blass
  • Philosophy
    Mathematical Proceedings of the Cambridge Philosophical Society
  • 1945
A simple proof of the uniqueness of Wigner’s distribution, which produces the correct marginal distributions for all linear combinations of position and momentum.

Modern Quantum Mechanics

1. Fundamental Concepts. 2. Quantum Dynamics. 3. Theory of Angular Momentum. 4. Symmetry in Quantum Mechanics. 5. Approximation Methods. 6. Identical Particles. 7. Scattering Theory. Appendices.

On the Non-Existence of Elements of Hopf Invariant One

“The Elements of Quaternions”

IN answer to my reviewer's question (vide p. 154), I must frankly admit that (a) Eq. 8, p. 40, should have been a group of six equations, i = √−1, j =√−1, &c.; and that (b) The inference should

Construção algébrica do corpo complexo

  • 2009

Construção algébrica do corpo complexo

  • 2009