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Open Quantum Systems Decoherence
Path integral action and exact renormalization group dualities for quantum systems in noncommutative plane
arXiv
Authors: Sunandan Gangopadhyay
Year
2014
Paper ID
47176
Status
Preprint
Abstract Read
~2 min
Abstract Words
85
Citations
N/A
Abstract
We employ the path integral approach developed in [29] to discuss the (generalized) harmonic oscillator in a noncommutative plane. The action for this system is derived in the coherent state basis with additional degrees of freedom. From this the action in the coherent state basis without any additional degrees of freedom is obtained. This gives the ground state spectrum of the system. We then employ the exact renormalization group approach to show that an equivalence can be constructed between this (noncommutative) system and a commutative system.
Why This Paper Matters
- This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
- It adds a 2014 reference point for readers tracking recent quantum research.
- We employ the path integral approach developed in [29] to discuss the (generalized) harmonic oscillator in a noncommutative plane.
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