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Quantum Mechanics in Phase Space: An introduction

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arxiv 2208.08682 v6 pith:MZMURLXY submitted 2022-08-18 quant-ph

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keywords mechanicsquantumphasespacebasiccollectiongaussianinformal
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Informal collection of lecture notes introducing quantum mechanics in phase space and basic Gaussian quantum mechanics.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Correlation and Entanglement partners in Gaussian systems

    quant-ph 2025-12 conditional novelty 5.0 of 10

    For Gaussian states, every correlated single mode has a unique partner (pure states) or separate correlation/entanglement partners (mixed states), constructed from the state's complex structure.

  2. On the Meaning of Localization in Non-Local Quantum Field Theory and On the Limits of a Space-Time Description and the Physical Meaning of Phase Space in a Nonlocal Continuum

    physics.gen-ph 2026-06 unverdicted novelty 4.0 of 10

    The paper derives a nonlocal phase-space uncertainty relation implying a minimal measurable length of order L_M and a finite phase-space cell in nonlocal QFT.

  3. On the Meaning of Localization in Non-Local Quantum Field Theory and On the Limits of a Space-Time Description and the Physical Meaning of Phase Space in a Nonlocal Continuum

    physics.gen-ph 2026-06 unverdicted novelty 3.0 of 10

    Derives nonlocal uncertainty relation with exact variance addition for localization width, implying minimal length L_M in UV limit of nonlocal QFT.

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