The principle of symmetric bracket invariance as the origin of first and second quantization

T. Garavaglia; S. K. Kauffmann

The principle of symmetric bracket invariance as the origin of first and second quantization

High Energy Physics - Theory 2007-05-23 v2

Authors: T. Garavaglia , S. K. Kauffmann

Abstract

The principle of invariance of the c-number symmetric bracket is used to derive both the quantum operator commutator relation $[\hat q, \hat p]=i\hbar$ and the time-dependent Schr\"odinger equation. A c-number dynamical equation is found which leads to the second quantized field theory of bosons and fermions.

Keywords

symmetric bracket invariance canonical commutator schrödinger equation first quantization second quantization boson fermion

Cite

@article{arxiv.hep-th/9907059,
  title  = {The principle of symmetric bracket invariance as the origin of first and second quantization},
  author = {T. Garavaglia and S. K. Kauffmann},
  journal= {arXiv preprint arXiv:hep-th/9907059},
  year   = {2007}
}

Comments

14 pages. Contributed Paper: XIX International Symposium on Lepton and Photon Interactions at High Energies, Stanford University, August 9-14, 1999

The principle of symmetric bracket invariance as the origin of first and second quantization

Abstract

Keywords

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