Hidden Kinematics and Dual Quantum References in Magnetic Resonance

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Quantum Physics arXiv:2602.07636 (quant-ph) [Submitted on 7 Feb 2026] Title:Hidden Kinematics and Dual Quantum References in Magnetic Resonance Authors:Sunghyun Kim View a PDF of the paper titled Hidden Kinematics and Dual Quantum References in Magnetic Resonance, by Sunghyun Kim View PDF HTML (experimental) Abstract:Spin resonance phenomena are conventionally described using transition probabilities formulated in a rotating frame, whose physical meaning implicitly depends on the choice of quantum reference standard. In this Colloquium, we show that a spin in a rotating magnetic field constitutes a configuration involving two quantum descriptions that share a common quantization operator but differ in their kinematic and dynamical roles. The transition probability therefore emerges as a relational quantity between quantum reference standards rather than an intrinsic property of a single evolving spin state. By incorporating the kinematic motion of the spin vector together with the dynamical evolution, this framework restores consistent energy accounting and reveals the dual-reference structure underlying spin dynamics in rotating magnetic fields. Comments: Subjects: Quantum Physics (quant-ph); Mathematical Physics (math-ph); Atomic Physics (physics.atom-ph) Cite as: arXiv:2602.07636 [quant-ph] (or arXiv:2602.07636v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2602.07636 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Sunghyun Kim [view email] [v1] Sat, 7 Feb 2026 17:33:17 UTC (519 KB) Full-text links: Access Paper: View a PDF of the paper titled Hidden Kinematics and Dual Quantum References in Magnetic Resonance, by Sunghyun KimView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-02 Change to browse by: math math-ph math.MP physics physics.atom-ph References & Citations INSPIRE HEP NASA ADSGoogle Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer (What is the Explorer?) Connected Papers Toggle Connected Papers (What is Connected Papers?) Litmaps Toggle Litmaps (What is Litmaps?) scite.ai Toggle scite Smart Citations (What are Smart Citations?) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv (What is alphaXiv?) Links to Code Toggle CatalyzeX Code Finder for Papers (What is CatalyzeX?) DagsHub Toggle DagsHub (What is DagsHub?) GotitPub Toggle Gotit.pub (What is GotitPub?) Huggingface Toggle Hugging Face (What is Huggingface?) Links to Code Toggle Papers with Code (What is Papers with Code?) ScienceCast Toggle ScienceCast (What is ScienceCast?) Demos Demos Replicate Toggle Replicate (What is Replicate?) Spaces Toggle Hugging Face Spaces (What is Spaces?) Spaces Toggle TXYZ.AI (What is TXYZ.AI?) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower (What are Influence Flowers?) Core recommender toggle CORE Recommender (What is CORE?) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs. Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)
