# Quantum backflow of a Dirac fermion on a ring

@inproceedings{Paccoia2022QuantumBO, title={Quantum backflow of a Dirac fermion on a ring}, author={Valentin Daniel Paccoia and Orlando Panella and Pinaki Roy Dipartimento di Fisica e Geologia and Universita' di Perugia and Istituto Nazionale Fisica Nucleare and Sezione di Perugia and Faculty of Nuclear Sciences and Tong University and Ho Chi Minh City and Vietnam.}, year={2022} }

Valentin Daniel Paccoia, Orlando Panella, and Pinaki Roy 4 Dipartimento di Fisica e Geologia, Università degli Studi di Perugia, Via A. Pascoli, 06123, Perugia, Italy∗ Istituto Nazionale di Fisica Nucleare, Sezione di Perugia, Via A. Pascoli, I-06123 Perugia, Italy† Atomic Molecular and Optical Physics Research Group, Advanced Institute of Materials Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam‡ Faculty of Applied Sciences, Ton Duc Thang University, Ho Chi Minh City, Vietnam…

## One Citation

### Comment on"Backflow in relativistic wave equations"

- Mathematics
- 2022

is a quantum an quantum-mechanical phenomenon”, a nonclassical a phenomenon”, a

## References

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The quantum backflow effect is a counterintuitive behavior of the probability current of a free particle, which may be negative even for states with vanishing negative momentum component. Here, we…

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It was known that a free, non-relativistic particle in a superposition of positive momenta can, in certain cases, bear a negative probability current — hence termed quantum backflow. Here, it is…

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In its standard formulation, quantum backflow is a classically impossible phenomenon in which a free quantum particle in a positive-momentum state exhibits a negative probability current. Recently,…

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In its original formulation, quantum backflow (QB) is an interference effect that manifests itself as a negative probability transfer for free-particle states comprised of plane waves with only…

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We investigate the backflow effect in elementary quantum mechanics - the phenomenon in which a state consisting entirely of positive momenta may have negative current and the probability flows in the…

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We study the quantum backflow problem in the noncommutative plane. In particular, we have considered a charged particle with and without an oscillator interaction with noncommuting momentum operators…

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Dissipative backflow is studied in the context of open quantum systems. This theoretical analysis is carried out within two frameworks, the effective time-dependent Hamiltonian due to Caldirola–Kanai…

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We derive some rigorous results concerning the backflow operator introduced by Bracken and Melloy. We show that it is linear bounded, self-adjoint and non-compact. Thus the question is underlined…

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In this paper we discuss relativistic quantum backflow. The general theory of relativistic backflow is presented and it is shown that the backflow can be written as a function of a simple parameter…

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The amount of quantum backflow for arbitrary momentum distributions is quantified, paving the way towards its experimental verification.