path: root/buch/papers/kugel/references.bib

@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},
}

@book{bell_special_2004,
	location = {Mineola, {NY}},
	title = {Special functions for scientists and engineers},
	isbn = {978-0-486-43521-3},
	series = {Dover books on mathematics},
	pagetotal = {247},
	publisher = {Dover Publ},
	author = {Bell, William Wallace},
	date = {2004},
}

@article{winch_geomagnetism_2005,
	title = {Geomagnetism and Schmidt quasi-normalization},
	volume = {160},
	issn = {0956-540X},
	url = {https://doi.org/10.1111/j.1365-246X.2004.02472.x},
	doi = {10.1111/j.1365-246X.2004.02472.x},
	abstract = {Spherical harmonic analysis of the main magnetic field of the Earth and its daily variations is the numerical determination of coefficients of solid spherical harmonics in the mathematical expressions used for the magnetic scalar potential of fields of internal and external origin. The coefficients are determined from vector components of the field and their purpose is to represent the vector field, not to reconstruct the magnetic scalar potential. An alternative interpretation of the spherical harmonic analysis is presented: namely the determination of the coefficients of a series representation of the magnetic vector field on a spherical surface in orthonormal real vector spherical harmonics, which correspond to the internal and external fields, and an additional non-potential toroidal field. The numerical values of the coefficients of an orthonormal vector spherical harmonic series have a direct physical significance, which is not obscured by some arbitrary normalization of the vector spherical harmonics. Therefore, we propose a Schmidt vector normalization to be used in conjunction with the Schmidt quasi-normalization of associated Legendre functions. A property of orthonormalized functions is that the standard deviations of the coefficients determined by the method of least squares from ideal data, which are uniformly accurate and uniformly globally distributed, are constant for all coefficients. The real vector spherical harmonic analysis of the geomagnetic field is extended to a spherical shell and conditions that restrict the radial dependence of the vector spherical harmonic coefficients are examined. In particular, two hypotheses for the current systems deriving from the non-potential toroidal component of the magnetic field over the surface of a sphere are presented, namely, Earth-air currents and field-aligned currents.},
	pages = {487--504},
	number = {2},
	journaltitle = {Geophysical Journal International},
	shortjournal = {Geophysical Journal International},
	author = {Winch, D. E. and Ivers, D. J. and Turner, J. P. R. and Stening, R. J.},
	urldate = {2022-08-19},
	date = {2005-02-01},
	file = {Full Text PDF:/Users/npross/Zotero/storage/KIJMWLLU/Winch et al. - 2005 - Geomagnetism and Schmidt quasi-normalization.pdf:application/pdf;Snapshot:/Users/npross/Zotero/storage/7ZIZYET9/659348.html:text/html},
}

@article{wingeier_spherical_2001,
	title = {Spherical harmonic decomposition applied to spatial-temporal analysis of human high-density electroencephalogram},
	volume = {64},
	issn = {1063-651X, 1095-3787},
	url = {https://link.aps.org/doi/10.1103/PhysRevE.64.051916},
	doi = {10.1103/PhysRevE.64.051916},
	pages = {051916},
	number = {5},
	journaltitle = {Physical Review E},
	shortjournal = {Phys. Rev. E},
	author = {Wingeier, B. M. and Nunez, P. L. and Silberstein, R. B.},
	urldate = {2022-08-27},
	date = {2001-10-26},
	langid = {english},
	file = {Submitted Version:/Users/npross/Zotero/storage/M6C7G2TZ/Wingeier et al. - 2001 - Spherical harmonic decomposition applied to spatia.pdf:application/pdf},
}

@artwork{sheerman-chase_volunteer_2012,
	title = {"Volunteer Duty" Psychology Testing},
	rights = {Attribution License},
	url = {https://www.flickr.com/photos/tim_uk/8135755109/},
	abstract = {Photo by Chris Hope

{ASTROPHYSICIST} We have a very advanced program, something very different, [...]
{MICROBIOLOGIST} An opportunity to reduce your sentence considerably...
[...]
{ASTROPHYSICIST} For a man in your position...an opportunity.
{BOTANIST} Not to volunteer could be a real mistake.
{MICROBIOLOGIST} (tapping his pencil again) Definitely a mistake! 
{\textless}a href="http://scifiscripts.com/scripts/twelvemonkeys.txt" rel="noreferrer nofollow"{\textgreater}scifiscripts.com/scripts/twelvemonkeys.txt{\textless}/a{\textgreater}

This photo was taken during studies that resulted in the publication: Hope, C, Sterr, A, Elangovan, P, Geades, N, Windridge, D, Young, K, Wells, K, Abbey, {CK} and {MelloThoms}, {CR} (2013) High Throughput Screening for Mammography using a Human-Computer Interface with Rapid Serial Visual Presentation ({RSVP}) Medical Imaging 2013: Image Perception, Observer Performance, And Technology Assessment, 8673. ? - ?. {ISSN} 0277-786X 

{\textless}a href="http://epubs.surrey.ac.uk/804796/" rel="noreferrer nofollow"{\textgreater}epubs.surrey.ac.uk/804796/{\textless}/a{\textgreater}},
	author = {Sheerman-Chase, Tim},
	urldate = {2022-08-27},
	date = {2012-10-29},
	keywords = {12, brain, eeg, electroencephalography, mad, monkeys, psychology, research, science, surrey, university},
	file = {"Volunteer Duty" Psychology Testing:/Users/npross/Zotero/storage/UXSB3HYM/Sheerman-Chase - 2012 - Volunteer Duty Psychology Testing.jpg:image/jpg},
}

@software{markwieczorek_shtoolsshtools_2022,
	title = {{SHTOOLS}/{SHTOOLS}: v4.10},
	rights = {Open Access},
	url = {https://zenodo.org/record/6497293},
	shorttitle = {{SHTOOLS}/{SHTOOLS}},
	abstract = {Version 4.10 {\textless}strong{\textgreater}Enhancements{\textless}/strong{\textgreater} Change the preferred backend from 'shtools' to 'ducc'. Improve handing of switching backends. Changing backends will dynamically link the correct routine to the top level modules found in {\textless}code{\textgreater}pyshtools.expand{\textless}/code{\textgreater} and {\textless}code{\textgreater}pyshools.rotate{\textless}/code{\textgreater}. Update python examples so that they don't call routines directly in the shtools backend. [See deprecation note below.] Add historical lunar topography dataset {GLTM}-2B. Add historical martian magnetic field models {FSU}50 and {FSU}90. Add new Mars gravity model {MRO}120F as well as several historical Mars gravity models. Add historical Venus topography datasets {SHTJV}360A01 and {SHTJV}360A02. Add Thebault2021 Earth magnetic field dataset. Add Mars topography dataset {MarsTopo}719, which is a truncated version of {MarsTopo}2600. Update urls for databases hosted at {GSFC}. Reorder optional arguments in docs for {\textless}code{\textgreater}makegravgradgriddh{\textless}/code{\textgreater} and {\textless}code{\textgreater}makemaggravgradgrid{\textless}/code{\textgreater} for consistency with code. Allow 'shtools' and 'dov' file formats to contain floats for degree and order. Minor changes and enhancements to the documentation. {\textless}strong{\textgreater}Bug fixes{\textless}/strong{\textgreater} Fix typo regarding {\textless}code{\textgreater}nthreads{\textless}/code{\textgreater} in {\textless}code{\textgreater}{SHMagCoeffs}.rotate(){\textless}/code{\textgreater} method. Fix bug with {\textless}code{\textgreater}{SHGravCoeffs}.admittance(){\textless}/code{\textgreater} when using {\textless}code{\textgreater}function='geoid'{\textless}/code{\textgreater}. Fix bug in python wrapper of the routine {\textless}code{\textgreater}{MakeGrid}2D{\textless}/code{\textgreater} concerning the mandatory variable {\textless}code{\textgreater}interval{\textless}/code{\textgreater}. Add workaround to use pygmt with shading for versions \>=0.4. Convert all grids to {\textless}code{\textgreater}float{\textless}/code{\textgreater} before using the {\textless}code{\textgreater}ducc{\textless}/code{\textgreater} backend. {\textless}code{\textgreater}{SHGeoid}.to\_netcdf(){\textless}/code{\textgreater} now outputs double precision by default (consistent with the other grid classes). Fix bug with {\textless}code{\textgreater}{SHWindow}.multitaper\_cross\_spectrum(){\textless}/code{\textgreater} when using arbitrary localization regions. Fix bug with the c-wrapper for {\textless}code{\textgreater}{cMakeGradientDH}{\textless}/code{\textgreater} regarding the optional {\textless}code{\textgreater}radius{\textless}/code{\textgreater} parameter. Minor changes to remove deprecation warnings. Fixed {\textless}code{\textgreater}setup.py{\textless}/code{\textgreater} to work with setuptools 62.0.0 and 62.1.0. {\textless}strong{\textgreater}Note:{\textless}/strong{\textgreater} The module {\textless}code{\textgreater}pyshtools.shtools{\textless}/code{\textgreater} will be deprecated in the v4.11 release. This module represents 1 of 2 possible backends for pyshtools, and will henceforth be located at {\textless}code{\textgreater}pyshtools.backends.shtools{\textless}/code{\textgreater}. Unless explicitly required, the user should avoid using the {\textless}code{\textgreater}backends{\textless}/code{\textgreater} modules directly, and should instead call the routines that are located in the top level modules such as {\textless}code{\textgreater}pyshtools.expand{\textless}/code{\textgreater}. Setting the backend by use of the routine {\textless}code{\textgreater}pyshtools.backends.selected\_preferred\_backend(){\textless}/code{\textgreater} determines which backed to use when calling the routines in the top level modules. M. A. Wieczorek, M. Meschede, T. Brugere, A. Corbin, A. Hattori, K. Leinweber, I. Oshchepkov, M. Reinecke, E. Sales de Andrade, E. Schnetter, S. Schröder, A. Vasishta, A. Walker, B. Xu, J. Sierra (2022). {SHTOOLS}: Version 4.10, Zenodo, doi:10.5281/zenodo.592762},
	version = {v4.10},
	publisher = {Zenodo},
	author = {Markwieczorek and Meschede, Matthias and Mreineck and Oshchepkov, Ilya and De Andrade, Elliott Sales and Corbin, Armin and Xoviat and Benda Xu and Schröder, Stefan and Hattori, Akihisa and Aaryaman Vasishta and Walker, Andrew and Schnetter, Erik and Sierra, Juan and Leinweber, Katrin},
	urldate = {2022-08-27},
	date = {2022-04-27},
	doi = {10.5281/ZENODO.6497293},
}

@article{davari_new_2013,
	title = {New Implementation of Legendre Polynomials for Solving Partial Differential Equations},
	volume = {04},
	issn = {2152-7385, 2152-7393},
	url = {http://www.scirp.org/journal/doi.aspx?DOI=10.4236/am.2013.412224},
	doi = {10.4236/am.2013.412224},
	pages = {1647--1650},
	number = {12},
	journaltitle = {Applied Mathematics},
	shortjournal = {{AM}},
	author = {Davari, Ali and Ahmadi, Abozar},
	urldate = {2022-08-28},
	date = {2013},
	file = {Full Text:/Users/npross/Zotero/storage/A8XM56WK/Davari and Ahmadi - 2013 - New Implementation of Legendre Polynomials for Sol.pdf:application/pdf},
}

@article{srinivasan_estimating_1998,
	title = {Estimating the spatial Nyquist of the human {EEG}},
	volume = {30},
	issn = {0743-3808, 1532-5970},
	url = {http://link.springer.com/10.3758/BF03209412},
	doi = {10.3758/BF03209412},
	pages = {8--19},
	number = {1},
	journaltitle = {Behavior Research Methods, Instruments, \& Computers},
	shortjournal = {Behavior Research Methods, Instruments, \& Computers},
	author = {Srinivasan, Ramesh and Tucker, Don M. and Murias, Michael},
	urldate = {2022-08-28},
	date = {1998-03},
	langid = {english},
	file = {Full Text:/Users/npross/Zotero/storage/RCY73VUB/Srinivasan et al. - 1998 - Estimating the spatial Nyquist of the human EEG.pdf:application/pdf},
}

@misc{ruffini_spherical_2002,
	title = {Spherical Harmonics Interpolation, Computation of Laplacians and Gauge Theory},
	url = {http://arxiv.org/abs/physics/0206007},
	doi = {10.48550/arXiv.physics/0206007},
	abstract = {The aim in this note is to define an algorithm to carry out minimal curvature spherical harmonics interpolation, which is then used to calculate the Laplacian for multi-electrode {EEG} data analysis. The approach taken is to respect the data. That is, we implement a minimal curvature condition for the interpolating surface subject to the constraints determined from the multi-electrode data. We implement this approach using spherical harmonics interpolation. In this elegant example we show that minimization requirement and constraints complement each other to fix all degrees of freedom automatically, as occurs in gauge theories. That is, the constraints are respected, while only the orthogonal subspace minimization constraints are enforced. As an example, we discuss the application to interpolate control data and calculate the temporal sequence of laplacians from an {EEG} Mismatch Negativity ({MMN}) experiment (using an implementation of the algorithm in {IDL}).},
	number = {{arXiv}:physics/0206007},
	publisher = {{arXiv}},
	author = {Ruffini, Giulio and Marco, Josep and Grau, Carles},
	urldate = {2022-08-30},
	date = {2002-06-03},
	eprinttype = {arxiv},
	eprint = {physics/0206007},
	keywords = {Physics - Data Analysis, Statistics and Probability, Physics - Medical Physics, Quantitative Biology - Neurons and Cognition},
	file = {arXiv Fulltext PDF:/Users/npross/Zotero/storage/R7Z5FP8D/Ruffini et al. - 2002 - Spherical Harmonics Interpolation, Computation of .pdf:application/pdf;arXiv.org Snapshot:/Users/npross/Zotero/storage/ESQCQXAJ/0206007.html:text/html},
}

@article{pascual-marqui_current_1988,
	title = {Current Source Density Estimation and Interpolation Based on the Spherical Harmonic Fourier Expansion},
	volume = {43},
	issn = {0020-7454},
	url = {https://doi.org/10.3109/00207458808986175},
	doi = {10.3109/00207458808986175},
	abstract = {A method for the spatial analysis of {EEG} and {EP} data, based on the spherical harmonic Fourier expansion ({SHE}) of scalp potential measurements, is described. This model provides efficient and accurate formulas for: (1) the computation of the surface Laplacian and (2) the interpolation of electrical potentials, current source densities, test statistics and other derived variables. Physiologically based simulation experiments show that the {SHE} method gives better estimates of the surface Laplacian than the commonly used finite difference method. Cross-validation studies for the objective comparison of different interpolation methods demonstrate the superiority of the {SHE} over the commonly used methods based on the weighted (inverse distance) average of the nearest three and four neighbor values.},
	pages = {237--249},
	number = {3},
	journaltitle = {International Journal of Neuroscience},
	author = {Pascual-marqui, Roberto D. and Gonzalez-andino, Sara L. and Valdes-sosa, Pedro A.},
	urldate = {2022-08-30},
	date = {1988-01-01},
	note = {Publisher: Taylor \& Francis
\_eprint: https://doi.org/10.3109/00207458808986175},
	keywords = {cross-validated current source density (csd) estimation, cross-validated functional brain mapping, cross-validated laplacian estimation, {ROLANDO} {BISCAY}-{LIRIO}, source derivations, spatial analysis, spherical harmonic fourier expansion},
}