Kugel: Introduction and preliminaries (not spherical harmonics, yet)

1 files changed, 193 insertions, 33 deletions

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-%
-% references.bib -- Bibliography file for the paper kugel
-%
-% (c) 2020 Autor, Hochschule Rapperswil
-%
-
-@online{kugel:bibtex,
-	title = {BibTeX},
-	url = {https://de.wikipedia.org/wiki/BibTeX},
-	date = {2020-02-06},
-	year = {2020},
-	month = {2},
-	day = {6}
-}
-
-@book{kugel:numerical-analysis,
-	title = {Numerical Analysis},
-	author = {David Kincaid and Ward Cheney},
-	publisher = {American Mathematical Society},
-	year = {2002},
-	isbn = {978-8-8218-4788-6},
-	inseries = {Pure and applied undegraduate texts},
-	volume = {2}
-}
-
-@article{kugel:mendezmueller,
-        author = { Tabea Méndez and Andreas Müller },
-        title = { Noncommutative harmonic analysis and image registration },
-        journal = { Appl. Comput. Harmon. Anal.},
-        year = 2019,
-        volume = 47,
-        pages = {607--627},
-        url = {https://doi.org/10.1016/j.acha.2017.11.004}
+
+@article{carvalhaes_surface_2015,
+	title = {The surface Laplacian technique in {EEG}: Theory and methods},
+	volume = {97},
+	issn = {01678760},
+	url = {https://linkinghub.elsevier.com/retrieve/pii/S0167876015001749},
+	doi = {10.1016/j.ijpsycho.2015.04.023},
+	shorttitle = {The surface Laplacian technique in {EEG}},
+	pages = {174--188},
+	number = {3},
+	journaltitle = {International Journal of Psychophysiology},
+	shortjournal = {International Journal of Psychophysiology},
+	author = {Carvalhaes, Claudio and de Barros, J. Acacio},
+	urldate = {2022-05-16},
+	date = {2015-09},
+	langid = {english},
+	file = {Submitted Version:/Users/npross/Zotero/storage/SN4YUNQC/Carvalhaes and de Barros - 2015 - The surface Laplacian technique in EEG Theory and.pdf:application/pdf},
+}
+
+@video{minutephysics_better_2021,
+	title = {A Better Way To Picture Atoms},
+	url = {https://www.youtube.com/watch?v=W2Xb2GFK2yc},
+	abstract = {Thanks to Google for sponsoring a portion of this video!
+Support {MinutePhysics} on Patreon: http://www.patreon.com/minutephysics
+ 
+This video is about using Bohmian trajectories to visualize the wavefunctions of hydrogen orbitals, rendered in 3D using custom python code in Blender.
+
+{REFERENCES}
+A Suggested Interpretation of the Quantum Theory in Terms of "Hidden" Variables. I
+David Bohm, Physical Review, Vol 85 No. 2, January 15, 1952
+
+Speakable and Unspeakable in Quantum Mechanics
+J. S. Bell
+
+Trajectory construction of Dirac evolution
+Peter Holland
+
+The de Broglie-Bohm Causal Interpretation of Quantum Mechanics and its Application to some Simple Systems by Caroline Colijn
+
+Bohmian Trajectories as the Foundation of Quantum Mechanics
+http://arxiv.org/abs/0912.2666v1
+
+The Pilot-Wave Perspective on Quantum Scattering and Tunneling
+http://arxiv.org/abs/1210.7265v2
+
+A Quantum Potential Description of One-Dimensional Time-Dependent Scattering From Square Barriers and Square Wells
+Dewdney, Foundations of Physics, {VoL} 12, No. 1, 1982 
+
+Link to Patreon Supporters: http://www.minutephysics.com/supporters/ 
+ 
+{MinutePhysics} is on twitter - @minutephysics 
+And facebook - http://facebook.com/minutephysics 
+ 
+Minute Physics provides an energetic and entertaining view of old and new problems in physics -- all in a minute! 
+ 
+Created by Henry Reich},
+	author = {{minutephysics}},
+	urldate = {2022-05-19},
+	date = {2021-05-19},
+}
+
+@article{ries_role_2013,
+	title = {Role of the lateral prefrontal cortex in speech monitoring},
+	volume = {7},
+	issn = {1662-5161},
+	url = {http://journal.frontiersin.org/article/10.3389/fnhum.2013.00703/abstract},
+	doi = {10.3389/fnhum.2013.00703},
+	journaltitle = {Frontiers in Human Neuroscience},
+	shortjournal = {Front. Hum. Neurosci.},
+	author = {Riès, Stephanie K. and Xie, Kira and Haaland, Kathleen Y. and Dronkers, Nina F. and Knight, Robert T.},
+	urldate = {2022-05-16},
+	date = {2013},
+	file = {Full Text:/Users/npross/Zotero/storage/W7KTJB8E/Riès et al. - 2013 - Role of the lateral prefrontal cortex in speech mo.pdf:application/pdf},
+}
+
+@online{saylor_academy_atomic_2012,
+	title = {Atomic Orbitals and Their Energies},
+	url = {http://saylordotorg.github.io/text_general-chemistry-principles-patterns-and-applications-v1.0/s10-05-atomic-orbitals-and-their-ener.html},
+	author = {{Saylor Academy}},
+	urldate = {2022-05-30},
+	date = {2012},
+	file = {Atomic Orbitals and Their Energies:/Users/npross/Zotero/storage/LJ8DM3YI/s10-05-atomic-orbitals-and-their-ener.html:text/html},
+}
+
+@inproceedings{schmitz_using_2012,
+	location = {Santa Clara, {CA}, {USA}},
+	title = {Using spherical harmonics for modeling antenna patterns},
+	isbn = {978-1-4577-1155-8 978-1-4577-1153-4 978-1-4577-1154-1},
+	url = {http://ieeexplore.ieee.org/document/6175298/},
+	doi = {10.1109/RWS.2012.6175298},
+	eventtitle = {2012 {IEEE} Radio and Wireless Symposium ({RWS})},
+	pages = {155--158},
+	booktitle = {2012 {IEEE} Radio and Wireless Symposium},
+	publisher = {{IEEE}},
+	author = {Schmitz, Arne and Karolski, Thomas and Kobbelt, Leif},
+	urldate = {2022-05-16},
+	date = {2012-01},
+}
+
+@online{allard_mathematics_2009,
+	title = {Mathematics 203-204 - Basic Analysis I-{II}},
+	url = {https://services.math.duke.edu/~wka/math204/},
+	author = {Allard, William K.},
+	urldate = {2022-07-25},
+	date = {2009},
+	file = {Mathematics 203-204 - Basic Analysis I-II:/Users/npross/Zotero/storage/LJISXBCM/math204.html:text/html},
+}
+
+@book{olver_introduction_2013,
+	location = {New York, {NY}},
+	title = {Introduction to partial differential equations},
+	isbn = {978-3-319-02098-3},
+	publisher = {Springer Science+Business Media, {LLC}},
+	author = {Olver, Peter J.},
+	date = {2013},
+}
+
+@book{miller_partial_2020,
+	location = {Mineola, New York},
+	title = {Partial differential equations in engineering problems},
+	isbn = {978-0-486-84329-2},
+	abstract = {"Requiring only an elementary knowledge of ordinary differential equations, this concise text begins by deriving common partial differential equations associated with vibration, heat flow, electricity, and elasticity. The treatment discusses and applies the techniques of Fourier analysis to these equations and extends the discussion to the Fourier integral. Final chapters discuss Legendre, Bessel, and Mathieu functions and the general structure of differential operators"--},
+	publisher = {Dover Publications, Inc},
+	author = {Miller, Kenneth S.},
+	date = {2020},
+	keywords = {Differential equations, Partial},
+}
+
+@book{asmar_complex_2018,
+	location = {Cham},
+	title = {Complex analysis with applications},
+	isbn = {978-3-319-94062-5},
+	series = {Undergraduate texts in mathematics},
+	pagetotal = {494},
+	publisher = {Springer},
+	author = {Asmar, Nakhlé H. and Grafakos, Loukas},
+	date = {2018},
+	doi = {10.1007/978-3-319-94063-2},
+	file = {Table of Contents PDF:/Users/npross/Zotero/storage/G2Q2RDFU/Asmar and Grafakos - 2018 - Complex analysis with applications.pdf:application/pdf},
+}
+
+@book{adkins_ordinary_2012,
+	location = {New York},
+	title = {Ordinary differential equations},
+	isbn = {978-1-4614-3617-1},
+	series = {Undergraduate texts in mathematics},
+	pagetotal = {799},
+	publisher = {Springer},
+	author = {Adkins, William A. and Davidson, Mark G.},
+	date = {2012},
+	keywords = {Differential equations},
+}
+
+@book{griffiths_introduction_2015,
+	title = {Introduction to electrodynamics},
+	isbn = {978-93-325-5044-5},
+	author = {Griffiths, David J},
+	date = {2015},
+	note = {{OCLC}: 965197645},
+}
+
+@book{tao_analysis_2016,
+	title = {Analysis 2},
+	isbn = {978-981-10-1804-6},
+	url = {https://doi.org/10.1007/978-981-10-1804-6},
+	author = {Tao, Terence},
+	urldate = {2022-07-25},
+	date = {2016},
+	note = {{OCLC}: 965325026},
+}
+
+@book{axler_linear_2015,
+	location = {Cham},
+	title = {Linear Algebra Done Right},
+	isbn = {978-3-319-11079-0 978-3-319-11080-6},
+	url = {https://link.springer.com/10.1007/978-3-319-11080-6},
+	series = {Undergraduate Texts in Mathematics},
+	publisher = {Springer International Publishing},
+	author = {Axler, Sheldon},
+	urldate = {2022-07-25},
+	date = {2015},
+	langid = {english},
+	doi = {10.1007/978-3-319-11080-6},
+	file = {Submitted Version:/Users/npross/Zotero/storage/3Y8MX74N/Axler - 2015 - Linear Algebra Done Right.pdf:application/pdf},
 }
 
+@online{eck_metric_2022,
+	title = {Metric Spaces: Completeness},
+	url = {https://math.hws.edu/eck/metric-spaces/completeness.html},
+	titleaddon = {Math 331: Foundations of Analysis},
+	author = {Eck, David J.},
+	urldate = {2022-08-01},
+	date = {2022},
+	file = {Metric Spaces\: Completeness:/Users/npross/Zotero/storage/5JYEE8NF/completeness.html:text/html},
+}
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