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• W2793513789 abstract "Quantum effects on a pair of Bateman oscillators embedded in an ambient noncommutative space (Moyal plane) is analyzed using both path integral and canonical quantization schemes within the framework of Hilbert-Schmidt operator formulation. We adopt a method which is distinct from the one which employs 't Hooft's scheme of quantization, carried out earlier in the literature where the ambient space was taken to be commutative. Our quantization shows that we end up finally again with a Bateman system except that the damping factor undergoes renormalization. The corresponding expression shows that the renormalized damping factor can be non-zero even if bare one is zero to begin with. Conversely, the noncommuatative parameter $theta$, taken to be a free one now, can be fine-tuned to get a vanishing renormalized damping factor. This indicates a duality between dissipative commutative theory and non-dissipative noncommutative theory." @default.
• W2793513789 created "2018-03-29" @default.
• W2793513789 creator A5035667505 @default.
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• W2793513789 date "2018-06-11" @default.
• W2793513789 modified "2023-09-27" @default.
• W2793513789 title "Connecting dissipation and noncommutativity: A Bateman system case study" @default.
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• W2793513789 doi "https://doi.org/10.1103/physreva.97.062110" @default.
• W2793513789 hasPublicationYear "2018" @default.
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