# Noncanonical quantum optics

@article{Czachor2000NoncanonicalQO, title={Noncanonical quantum optics}, author={Marek Czachor}, journal={arXiv: Quantum Physics}, year={2000} }

Modification of the right-hand-side of canonical commutation relations (CCR) naturally occurs if one considers a harmonic oscillator with indefinite frequency. Quantization of electromagnetic field by means of such a non-CCR algebra naturally removes the infinite energy of vacuum but still results in a theory which is very similar to quantum electrodynamics. An analysis of perturbation theory shows that the non-canonical theory has an automatically built-in cut-off but requires charge/mass…

## 13 Citations

### A solvable model of interacting photons

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It is a general belief that the relevant models of quantum field theory cannot be solved analytically. It is even not clear how to formulate these models in a mathematically consistent manner. Only…

### Regularization as Quantization in Reducible Representations of CCR

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A covariant quantization scheme employing reducible representations of canonical commutation relations with positive-definite metric and Hermitian four-potentials (an alternative to the Gupta-Bleuler…

### Non-classical correlations in reducible quantum electrodynamics

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The question is discussed whether the momentum of a photon has a quantum uncertainty or whether it is a classical quantity. The latter assumption is the main characteristic of reducible Quantum…

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A four-dimensional photon polarization space, such that gives a different interpretation of the ladder operators for the time-like degree comparing to the Gupta-Bleuler formulation is presented. This…

### Emergent Coulomb Forces in Reducible Quantum Electrodynamics

- PhysicsFoundations of Science
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This paper discusses an attempt to develop a mathematically rigorous theory of quantum electrodynamics (QED). It deviates from the standard version of QED mainly in two aspects: it is assumed that…

### J an 2 01 9 Emergent Coulomb forces in reducible Quantum Electrodynamics

- Physics
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This paper discusses an attempt to develop a mathematically rigorous theory of Quantum Electrodynamics (QED). It deviates from the standard version of QED mainly in two aspects: it is assumed that…

### Reducible representations of CAR and CCR with possible applications to field quantization

- Mathematics
- 2003

Reducible representations of CAR and CCR are applied to second quantization of Dirac and Maxwell fields. The resulting field operators are indeed operators and not operator-valued distributions.…

### Cavity-QED Tests of Representations of Canonical Commutation Relations Employed in Field Quantization

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- 2005

Various aspects of dissipative and nondissipative decoherence of Rabi oscillations are discussed in the context of field quantization in alternative representations of CCR. Theory is confronted with…

### Relativistic EPR-type experiments for photons in the background of reducible representation HOLA algebras

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- 2015

Relativistic EPR-type experiments for photons in the background of reducible representation algebras are discussed. A model for the four Bell states, such that maintains maximally correlated in two…

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