# The role of infrared divergence for decoherence

@article{Kupsch1999TheRO, title={The role of infrared divergence for decoherence}, author={Joachim Kupsch}, journal={Journal of Mathematical Physics}, year={1999}, volume={41}, pages={5945-5953} }

Continuous and discrete superselection rules induced by the interaction with the environment are investigated for a class of exactly soluble Hamiltonian models. The environment is given by a boson field. Stable superselection sectors can only emerge if the low frequences dominate and the ground state of the boson field disappears due to infrared divergence. The models allow uniform estimates of all transition matrix elements between different superselection sectors.

## 11 Citations

### Decoherence and Infrared Divergence 1

- Physics
- 2002

The dynamics of a particle which is linearly coupled to the environment of a Boson field is investigated. For velocity coupling and for local (position) coupling the reduced dynamics of the particle…

### Superselection rules induced by infrared divergence

- Physics
- 2004

Superselection rules induced by the interaction with a mass zero Boson field are investigated for a class of exactly soluble Hamiltonian models. The calculations apply as well to discrete as to…

### Decoherence and infrared divergence

- Physics
- 2002

The dynamics of a particle which is linearly coupled to a boson field is investigated. The boson field induces superselection rules for the momentum of the particle, if the field is infrared…

### Applications of canonical transformations

- Physics
- 2005

Canonical transformations are defined and discussed along with the coherent and the ultracoherent vectors. It is shown that the single-mode and the n-mode squeezing operators are elements of the…

### Self-adjointness of quadratic Hamiltonians and a representation method for their exponents

- Mathematics
- 2007

Solutions to a series of Cauchy problems for an equation of Schrödinger type with the Hamiltonian obtained by Wiener-Segal-Fock quantization of (finite- and infinite-dimensional) Hamiltonian systems…

### Decoherence by Lindblad motion

- Physics
- 2004

The predictive power of Lindblad equations for the dynamics of open systems is discussed. In a model with only one Lindblad operator the asymptotic state (density operator) for t → ∞ determines the…

### Frequently Asked Questions About Decoherence

- Physics
- 2000

This work focuses on environment induced decoherence and its degree of usefulness for the interpretation of quantum theory, and discusses the emergence of a classical world.

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Many people are trying to be smarter every day. How's about you? There are many ways to evoke this case you can find knowledge and lesson everywhere you want. However, it will involve you to get what…