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Projectile motion of surface gravity water wave packets: An analogy to quantum mechanics

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Abstract

We study phase contributions of wave functions that occur in the evolution of Gaussian surface gravity water wave packets with nonzero initial momenta propagating in the presence and absence of an effective external linear potential. Our approach takes advantage of the fact that in contrast to matter waves, water waves allow us to measure both their amplitudes and phases.

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Notes

  1. We emphasize that the Kennard phase has also been observed [16] in a Stern–Gerlach atom interferometer.

  2. For studies on ballistic wave packets in systems analogous to surface gravity water wave pulses we refer to Refs. [17,18,19].

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Acknowledgements

We thank Tamir Ilan and Anatoliy Khait for technical support and assistance. This work is funded by DIP, the German-Israeli Project Cooperation (AR 924/1-1, DU 1086/2-1) supported by the DFG, and the Israel Science Foundation (Grant nos. 1415/17 and 508/19). G.G.R. is grateful for the opportunity to participate in the FQMT’19 conference, during which he was inspired to study several new topics. M.Z. thanks the German Space Agency (DLR) with funds provided by the Federal Ministry for Economic Affairs and Energy (BMWi) due to an enactment of the German Bundestag under Grant nos. DLR 50WM1556, 50WM1956. M.A.E. is thankful to the Center for Integrated Quantum Science and Technology (IQ\(^{\mathrm {ST}}\)) for its generous financial support. W.P.S. is grateful to Texas A&M University for a Faculty Fellowship at the Hagler Institute for Advanced Study at the Texas A&M University as well as to the Texas A&M AgriLife Research. The research of the IQ\(^{\mathrm {ST}}\) is financially supported by the Ministry of Science, Research and Arts Baden–Württemberg.

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Authors and Affiliations

  1. Raymond and Beverly Sackler School of Physics and Astronomy, Faculty of Exact Sciences, Tel Aviv University, Tel Aviv, 69978, Israel

    Georgi Gary Rozenman

  2. School of Electrical Engineering, Iby and Aladar Fleischman Faculty of Engineering, Tel Aviv University, Tel Aviv, 69978, Israel

    Georgi Gary Rozenman & Ady Arie

  3. Institut für Quantenphysik and Center for Integrated Quantum Science and Technology (IQST), Universität Ulm, 89081, Ulm, Germany

    Matthias Zimmermann, Maxim A. Efremov & Wolfgang P. Schleich

  4. Institute of Quantum Technologies, German Aerospace Center (DLR), 89081, Ulm, Germany

    Matthias Zimmermann, Maxim A. Efremov & Wolfgang P. Schleich

  5. Hagler Institute for Advanced Study at Texas A&M University, Texas A & M AgriLife Research, Institute for Quantum Science and Engineering (IQSE), and Department of Physics and Astronomy, Texas A & M University, College Station, TX, 77843-4242, USA

    Wolfgang P. Schleich

  6. Department of Physics, Grinnell College, P.O. Box 805, Grinnell, IA, 50112, USA

    William B. Case

  7. City College of the City University of New York, New York, NY, 10031, USA

    Daniel M. Greenberger

  8. School of Mechanical Engineering, Iby and Aladar Fleischman Faculty of Engineering, Tel Aviv University, Tel Aviv, 69978, Israel

    Lev Shemer

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  1. Georgi Gary Rozenman
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  2. Matthias Zimmermann
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  3. Maxim A. Efremov
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Correspondence to Georgi Gary Rozenman.

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Rozenman, G.G., Zimmermann, M., Efremov, M.A. et al. Projectile motion of surface gravity water wave packets: An analogy to quantum mechanics. Eur. Phys. J. Spec. Top. 230, 931–935 (2021). https://doi.org/10.1140/epjs/s11734-021-00096-y

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