Maurice A. de Gosson

Phase Space Representation of the Density Operator: Bopp Pseudodifferential Calculus and Moyal Product

#1

Maurice de Gosson

(Nov 21, 2024)

e-Print:
- 2411.14391 [math-ph]

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Polar Duality and Quasi-States: a Geometric Picture of Quantum Indeterminacy

#2

Maurice de Gosson

(Jul 9, 2024)

e-Print:
- 2407.06684 [quant-ph]

pdf

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A metaplectic perspective of uncertainty principles in the linear canonical transform domain

#3

(May 7, 2024)

Published in:
- J.Funct.Anal. 287 (2024) 110494
•
e-Print:
- 2405.10651 [math.FA]

pdfDOI

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Polar duality and the reconstruction of quantum covariance matrices from partial data

#4

Maurice A. de Gosson

(Dec 22, 2023)

Published in:
- J.Phys.A 57 (2024) 20, 205303
•
e-Print:
- 2312.14823 [quant-ph]

DOI

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Symplectic and Lagrangian polar duality; applications to quantum harmonic analysis

#5

(Sep 14, 2023)

Published in:
- J.Math.Phys. 65 (2024) 6, 062106
•
e-Print:
- 2309.07775 [math-ph]

DOI

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Reconstruction of Gaussian Quantum States from Ideal Position Measurements: Beyond Pauli's Problem, I

#6

Maurice de Gosson

(Jan 29, 2023)

e-Print:
- 2301.12498 [quant-ph]

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Entanglement of Bipartite Gaussian States: a Simple Criterion and its Geometric Interpretation

#7

Maurice de Gosson

(Oct 4, 2022)

e-Print:
- 2210.01735 [quant-ph]

pdf

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Toeplitz density operators and their separability properties

#8

Maurice de Gosson
(
- Vienna U., Dept. Math.
)

(Sep 16, 2022)

Published in:
- Quant.Stud.Math.Found. 10 (2023) 2, 245-261
•
e-Print:
- 2209.08051 [quant-ph]

DOI

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Pointillisme à la Signac and Construction of a Quantum Fiber Bundle Over Convex Bodies

#9

Maurice de Gosson
(
- Vienna U.
)
,
Charlyne de Gosson
(
- Vienna U.
)

(Jul 31, 2022)

Published in:
- Found.Phys. 53 (2023) 2, 43
•
e-Print:
- 2208.00470 [quant-ph]

DOI

reference search2 citations

Symplectic Polar Duality, Quantum Blobs, and Generalized Gaussians

#10

(Jun 13, 2022)

Published in:
- Symmetry 14 (2022) 9, 1890
•
e-Print:
- 2206.06334 [quant-ph]

DOI

reference search4 citations

Symplectic Radon Transform and the Metaplectic Representation

#11

Maurice A. de Gosson
(
- Vienna U., Dept. Math.
)

(Apr 14, 2022)

Published in:
- Entropy 24 (2022) 6, 761
•
e-Print:
- 2204.07106 [quant-ph]

DOI

reference search4 citations

A Few Almost Trivial Notes on the Symplectic Radon Transform and the Tomographic Picture of Quantum Mechanics

#12

Maurice de Gosson
(
- Vienna U., Dept. Math.
)

(Mar 31, 2022)

e-Print:
- 2203.17210 [quant-ph]

pdf

reference search3 citations

Polar Duality Between Pairs of Transverse Lagrangian Planes. Applications to Uncertainty Principles

#13

Maurice de Gosson

(Oct 26, 2021)

e-Print:
- 2110.14479 [math-ph]

pdf

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The Pauli Problem for Gaussian Quantum States: Geometric Interpretation

#14

Maurice A. de Gosson
(
- Vienna U.
)

(Oct 14, 2021)

Published in:
- Mathematics 9 (2021) 20, 2578

DOI

reference search3 citations

On the Wigner distribution of the reduced density matrix

#15

(Jun 26, 2021)

Published in:
- Adv.Theor.Math.Phys. 26 (2022) 9, 3069-3079
•
e-Print:
- 2106.14056 [quant-ph]

pdfDOI

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Gaussian quantum states can be disentangled using symplectic rotations

#16

Maurice A. de Gosson

(May 24, 2021)

Published in:
- Lett.Math.Phys. 111 (2021) 3, 73

pdfDOI

reference search2 citations

Partial Traces and the Geometry of Entanglement; Sufficient Conditions for the Separability of Gaussian States

#17

(Mar 29, 2020)

Published in:
- Rev.Math.Phys. 34 (2022) 2250005
•
e-Print:
- 2003.13190 [quant-ph]

pdf

reference search3 citations

Symplectic coarse-grained classical and semclassical evolution of subsystems: New theoretical approach

#18

Maurice A. de Gosson
(
- Vienna U., Dept. Math.
)

(Feb 16, 2020)

Published in:
- J.Math.Phys. 61 (2020) 9, 092102
•
e-Print:
- 2002.06641 [quant-ph]

pdfDOI

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Symplectic Coarse-Grained Dynamics: Chalkboard Motion in Classical and Quantum Mechanics

#19

Maurice A. de Gosson
(
- Vienna U., Dept. Math.
)

(Jan 19, 2019)

Published in:
- Adv.Theor.Math.Phys. 24 (2020) 4, 925-977
•
e-Print:
- 1901.06554 [math-ph]

pdfDOI

reference search4 citations

Phase Spaces, Parity Operators, and the Born–Jordan Distribution

#20

(Nov 14, 2018)

Published in:
- Annales Henri Poincare 24 (2023) 12, 4169-4236
•
e-Print:
- 1811.05872 [quant-ph]

DOI

reference search6 citations

Quantum Harmonic Analysis of the Density Matrix

#21

Maurice A. de Gosson
(
- Vienna U., Dept. Math.
)

(Sep 26, 2018)

Published in:
- Quanta 7 (2018) 1, 74-110
•
e-Print:
- 1703.00889 [quant-ph]

pdfDOI

reference search10 citations

Gaussian distributions and phase space Weyl–Heisenberg frames

#22

(Jun 7, 2018)

Published in:
- Appl.Comput.Harmon.Anal. 48 (2020) 374-394

DOI

reference search1 citation

Mixed Quantum States with Variable Planck Constant

#23

Maurice de Gosson

(Jun 19, 2017)

Published in:
- Phys.Lett.A 381 (2017) 3033-3037
•
e-Print:
- 1706.06069 [quant-ph]

pdfDOI

reference search13 citations

On the Dependence of Quantum States on the Value of Planck's Constant

#24

(Dec 16, 2016)

e-Print:
- 1612.05578 [quant-ph]

pdf

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On the Quantization Problem

#25

Maurice A. Gosson

(2016)

Published in:
- Fundam.Theor.Phys. 182 (2016) 9-21

DOI

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Maurice A. de Gosson(
Potsdam, Max Planck Inst.
)

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Maurice A. de Gosson(Potsdam, Max Planck Inst.)

Date of paper

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Maurice A. de Gosson(
Potsdam, Max Planck Inst.
)