This bibliography lists sources used to create this site with links to pages giving tables of contents and/or brief summaries or abstracts for these sources. A secondary goal for this bibliography is to form the foundations for a guide to help students and instructors chose which textbooks to use as well as what topics to focus on at different stages based on how numerous authors structure different topics. Throughout these entries I attempt to map textbooks onto particular courses as well as name prerequisites for those courses. As a general rule, authors tend to be rather generous with introducing information from prequisite texts in the first chapter or first few chapters of their textbooks. Thus, even if you're not ready for a particular topic, but you really want to try, you can make sure you master the chapters that introduce such prerequisite knowledge. Otherwise, these chapters are often skipped in actual courses. Unless otherwise stated, I refer to courses as they are typically organized in the _United States,_ since that's where I'm largely educated and also representative of who many textbooks are for. # How I choose sources I spend a lot of time browsing through different books and papers. There are three overlapping categories of material: * Whatever my professors use to teach or wrote themselves. * Whatever is cited on wikipedia article references. * Anything that gives me an aha moment. * Primary sources that are considered to be the first to describe a particular invention or phenomenon. 🏗️THIS BIBLIOGRAPHY IS UNDER CONSTRUCTION. FOR COMPLETE BIBLIOGRAPHIES SEE THE [INDEX PAGES](Welcome%20to%20The%20Quantum%20Well!.md#Indices)🏗️ # Academic papers (pre-1900) [Hall, E. H., On a New Action of the Magnet on Electric currents, _American Journal of Mathematics_, vol. 2 no. 3, 1879](Hall,%20E.%20H.,%20On%20a%20New%20Action%20of%20the%20Magnet%20on%20Electric%20currents,%20American%20Journal%20of%20Mathematics,%20vol.%202%20no.%203,%201879.md) # Academic papers (1900-1950) [Bloch, F., Über die Quantenmechanik der Elektronen in Kristallgittern, _Zeitschrift für Physik_ 52, 555–600, 1929.](Bloch,%20F.,%20Über%20die%20Quantenmechanik%20der%20Elektronen%20in%20Kristallgittern,%20Zeitschrift%20für%20Physik%2052,%20555–600,%201929..md) [Born, M., Zur Quantenmechanik der Stoßvorgänge, _Zeitschrift für Physik_ 37, 863-867, 1926.](Born,%20M.,%20Zur%20Quantenmechanik%20der%20Stoßvorgänge,%20Zeitschrift%20für%20Physik%2037,%20863-867,%201926..md) [Cosens, C. R., A balance-detector for alternating-current bridge, _Proceedings of the Physical Society_, 46. 818, 1934](Cosens,%20C.%20R.,%20A%20balance-detector%20for%20alternating-current%20bridge,%20Proceedings%20of%20the%20Physical%20Society,%2046.%20818,%201934..md) [Einstein A., Podolsky B., Rosen N., Can a Quantum-Mechanical Description of Physical Reality Be Considered Complete?, _Phys. Rev._, 47, 1935](Einstein%20A.,%20Podolsky%20B.,%20Rosen%20N.,%20Can%20a%20Quantum-Mechanical%20Description%20of%20Physical%20Reality%20Be%20Considered%20Complete.,%20Phys.%20Rev.,%2047,%201935.md) [Groenwold, H.J., _On the principles of elementary quantum mechanics_, Physica, vol. 12., 1946.](Groenwold,%20H.J.,%20On%20the%20principles%20of%20elementary%20quantum%20mechanics,%20Physica,%20vol.%2012.,%201946..md) [Kronig R. de L., Penney W. G., Quantum mechanics of electrons in crystal lattices, _Procedings of the Royal Society of London A_ 130, 499-513, 1931.](Kronig%20R.%20de%20L.,%20Penney%20W.%20G.,%20Quantum%20mechanics%20of%20electrons%20in%20crystal%20lattices,%20Procedings%20of%20the%20Royal%20Society%20of%20London%20A%20130,%20499-513,%201931..md) [Moyal J. E., _Quantum mechanics as a statistical theory_, Mathematical Proceedings of the Cambridge Philosophical Society, 1949.](Moyal%20J.%20E.,%20Quantum%20mechanics%20as%20a%20statistical%20theory,%20Mathematical%20Proceedings%20of%20the%20Cambridge%20Philosophical%20Society,%201949..md) # Academic papers (1950-1999) [Axler, S., Down With Determinants, _American Mathematical Monthly_ 102, 1995.](Axler,%20S.,%20Down%20With%20Determinants,%20American%20Mathematical%20Monthly%20102,%201995..md) [Cage, M. E., Dziuba, R.F., Bruce, F. F., A Test of the quantum Hall Effect as a resistance standard, _IEEE Transactions on Instrumentation and Measurement_, 1985.](Cage,%20M.%20E.,%20Dziuba,%20R.F.,%20Bruce,%20F.%20F.,%20A%20Test%20of%20the%20quantum%20Hall%20Effect%20as%20a%20resistance%20standard,%20IEEE%20Transactions%20on%20Instrumentation%20and%20Measurement,%201985..md) [Handbury Brown R., Twiss, _A test of a new type of type of stellar interferometer on Sirius_, Nature 178, 1956.](Hanbury%20Brown%20R.,%20Twiss,%20A%20test%20of%20a%20new%20type%20of%20type%20of%20stellar%20interferometer%20on%20Sirius,%20Nature%20178,%201956..md) [Hughston L. P., A complete classification of quantum ensembles having a given density matrix, _Phys Lett A 183_, 1993.](Hughston%20L.%20P.,%20A%20complete%20classification%20of%20quantum%20ensembles%20having%20a%20given%20density%20matrix,%20Phys%20Lett%20A%20183.%201993..md) [Prakesh, H., Chandra, N., Density Operator of Unpolarized Radiation, Phys. Rev. A, vol. 4, No. 2, 1970.](Prakesh,%20H.,%20Chandra,%20N.,%20Density%20Operator%20of%20Unpolarized%20Radiation,%20Phys.%20Rev.%20A,%20vol.%204,%20No.%202%20(1970).md) [Wooters, W. K., Zurek W. H., A single quantum cannot be cloned, _Nature_, 299, 1982](Wooters,%20W.%20K.,%20Zurek%20W.%20H.,%20A%20single%20quantum%20cannot%20be%20cloned,%20Nature,%20299,%201982.md) # Academic papers (2000 and after) [Söderholm, J., Björk, G., Trifonov, Unpolarized light in quantum optics, arXivquant-ph0007099, 2000](Söderholm,%20J.,%20Björk,%20G.,%20Trifonov,%20Unpolarized%20light%20in%20quantum%20optics,%20arXivquant-ph0007099,%202000.md) [Vitiello M.S., Scalari G., Williams B., De Natale P., Quantum cascade: lasers 20 years of challenges, Optics Express, Vol. 23, Issue 4, 2015](Vitiello%20M.S.,%20Scalari%20G.,%20Williams%20B.,%20De%20Natale%20P.,%20Quantum%20cascade%20lasers%2020%20years%20of%20challenges,%20Optics%20Express,%20Vol.%2023,%20Issue%204,%202015.md) # Mathematics books ## Mathematics textbooks [Altland, A. von Delft, J., _Mathematics for Physicists_. Cambridge University Press. 2019.](Altland,%20A.%20von%20Delft,%20J.%20Mathematics%20for%20Physicists,%20Cambridge%20University%20Press,%202019.md) [Aluffi, P., _Algebra: Chapter 0_, American Mathematical Society, 2009](Aluffi,%20P.,%20Algebra%20Chapter%200,%20American%20Mathematical%20Society,%202009.md) [Axler S., Gerhing F.W., Ribet K.A., _Linear Algebra Done Right_. Springer, 2nd edition. 1997.](Axler%20S.,%20Gerhing%20F.W.,%20Ribet%20K.A.%20Linear%20Algebra%20Done%20Right,%20Springer,%202nd%20edition,%201997.md) [Barrington, D. M., _A Mathematical Foundation for Computer Science_, Kendall Hunt Publishing Company, Preliminary edition, 2019.](Barrington,%20D.%20M.,%20A%20Mathematical%20Foundation%20for%20Computer%20Science,%20Kendall%20Hunt%20Publishing%20Company,%20Preliminary%20edition,%202019..md) [Boas M., _Mathematical Methods in the Physical Sciences_. John Wiley and Sons, 3rd edition, 2006.](Boas%20M.,%20Mathematical%20Methods%20in%20the%20Physical%20Sciences.%20John%20Wiley%20and%20Sons,%203rd%20edition,%202006..md) [Brigham E. O., _The Fast Fourier Transform and Its Applications_, Prentice Hall, 1988.](Brigham%20E.%20O.,%20The%20Fast%20Fourier%20Transform%20and%20Its%20Applications,%20Prentice%20Hall,%201988..md) [Brown, J. W., Churchill R. V., _Complex Variables and Applications_, McGraw Hill, 8th edition, 2009.](Brown,%20J.%20W.,%20Churchill%20R.%20V.,%20Complex%20Variables%20and%20Applications,%20McGraw%20Hill,%208th%20edition,%202009..md) [Cherney D., Denton T., and Waldron A., _Linear Algebra_, 2013.](Cherney%20D.,%20Denton%20T.,%20and%20Waldron%20A.,%20Linear%20Algebra,%202013..md) [Hall, B., _Lie Groups Lie Algebras and Representations_, Springer, 2nd edition, 2015.](Hall,%20B.,%20Lie%20Groups%20Lie%20Algebras%20and%20Representations,%20Springer,%202nd%20edition,%202015..md) [Jech, T., _Set Theory_, Springer, 3rd edition, 2002.](Jech,%20T.,%20Set%20Theory,%20Springer,%203rd%20edition,%202002..md) [Jänich K., _Topology_. Translated by Silvio Levy, Springer-Verlag 1984](Jänich%20K.,%20Topology.%20Translated%20by%20Silvio%20Levy,%20Springer-Verlag,%201984.md) [Kuttler K., _Elementary Linear Algebra_, 2021.](Kuttler%20K.,%20Elementary%20Linear%20Algebra,%202021..md) [Munkres, J. R., _Topology_, Prentice Hall, 2nd Edition, 2000.](Munkres,%20J.%20R.,%20Topology,%20Prentice%20Hall,%202nd%20Edition,%202000..md) [von Neumann J., _Mathematical Foundations of Quantum Mechanics_. Translated by Robert T. Beyer. Princeton University Press, 2018.](von%20Neumann%20J.,%20Mathematical%20Foundations%20of%20Quantum%20Mechanics.%20Translated%20by%20Robert%20T.%20Beyer.%20Princeton%20University%20Press,%202018..md) [Wasserman, L., _All of Statistics - A Concise Course in Statistical Inference_, Springer, 2003.](Wasserman,%20L.,%20All%20of%20Statistics%20-%20A%20Concise%20Course%20in%20Statistical%20Inference,%20Springer,%202003..md) # Physics and engineering books ## Physics and engineering anthologies [Wheeler, J. A., Zurek, W. H., _Quantum Theory and Measurement_, Princeton University Press, 1983.](Wheeler,%20J.%20A.,%20Zurek,%20W.%20H.,%20Quantum%20Theory%20and%20Measurement,%20Princeton%20University%20Press,1983..md) ## Physics and engineering textbooks [Altland A., Simons B., _Condensed Matter Field Theory_, Cambridge University Press, 2nd edition, 2010](Altland%20A.,%20Simons%20B.,%20Condensed%20Matter%20Field%20Theory,%20Cambridge%20University%20Press,%202nd%20edition,%202010.md) [Ashcroft N. W., Mermin, N. D.,_Solid State Physics_, Harcourt College Publishers, 1976.](Ashcroft%20N.%20W.,%20Mermin,%20N.%20D.,%20Solid%20State%20Physics,%20Harcourt%20College%20Publishers,%201976..md) [Baym, G., _Lectures on Quantum Mechanics_, Westview Press, 1990](Baym,%20G.,%20Lectures%20on%20Quantum%20Mechanics,%20Westview%20Press,%201990.md) [[Ballentine L. E., Quantum Mechanics - A modern Development, World Scientific Publishing C., 2000]] [Brennan, K. F., _The Physics of Semiconductors_, Cambridge University Press, 1999.](Brennan,%20K.%20F.,%20The%20Physics%20of%20Semiconductors,%20Cambridge%20University%20Press,%201999..md) [Fowles, G. R., _Introduction to Modern Optics_, Dover Publications Inc, 2nd edition, 1989.](Fowles,%20G.%20R.,%20Introduction%20to%20Modern%20Optics,%20Dover%20Publications%20Inc,%202nd%20edition,%201989..md) [Gottfried, K., Yan T., _Quantum Mechanics, Fundamentals_, Springer, 2nd edition, 2003.](Gottfried,%20K.,%20Yan%20T.,%20Quantum%20Mechanics,%20Fundamentals,%20Springer,%202nd%20edition,%202003..md) [Griffiths, D. J., _Introduction to Electrodynamics_, Pearson Prentice Hall, 4th edition, 2017.](Griffiths,%20D.%20J.,%20Introduction%20to%20Electrodynamics,%20Pearson%20Prentice%20Hall,%204th%20edition,%202017..md) [Griffiths D. J., _Introduction to Quantum Mechanics_, Pearson Prentice Hall, 2nd edition, 2005.](Griffiths%20D.%20J.,%20Introduction%20to%20Quantum%20Mechanics,%20Pearson%20Prentice%20Hall,%202nd%20edition,%202005..md) [Horowitz, P., Hayes, T.C., _The Art of Electonics Student Manual_, Cambrdge University Press, 2nd edition, 1989.](Horowitz,%20P.,%20Hayes,%20T.C.,%20The%20Art%20of%20Electonics%20Student%20Manual,%20Cambrdge%20University%20Press,%202nd%20edition,%201989..md) [Horowitz, P., Hill, W., _The Art of Electronics_, Cambridge University Press, 3rd Edition, 2015.](Horowitz,%20P.,%20Hill,%20W.,%20The%20Art%20of%20Electronics,%20Cambridge%20University%20Press,%203rd%20Edition,%202015..md) [Kittel, C., _Introduction to Solid State Physics_, Wiley & Sons, 8th edition, 2005](Kittel,%20C.,%20Introduction%20to%20Solid%20State%20Physics,%20Wiley%20&%20Sons,%208th%20edition,%202005..md) [Likharev, K., _Essential Graduate Physics-Quantum Mechanics_, LibreTexts, 2024](Likharev,%20K.,%20Essential%20Graduate%20Physics-Quantum%20Mechanics,%20LibreTexts,%202024.md) [Mandel L., Wolf E., _Optical Coherence and Quantum Optics_, Cambridge University Press, 1995.](Mandel%20L.,%20Wolf%20E.,%20Optical%20Coherence%20and%20Quantum%20Optics,%20Cambridge%20University%20Press,%201995..md) [Nielsen, M. A., Chuang, I. L. _Quantum Computation and Quantum Information_, Cambridge University Press, 2010](Nielsen,%20M.%20A.,%20Chuang,%20I.%20L.%20Quantum%20Computation%20and%20Quantum%20Information,%20Cambridge%20University%20Press,%202010.md) [Oppenheim A. V., Willsky A. S., Nawab S. H., _Signals and Systems_, Prentice Hall, 1996.](Oppenheim%20A.%20V.,%20Willsky%20A.%20S.,%20Nawab%20S.%20H.,%20Signals%20and%20Systems,%20Prentice%20Hall,%201996..md) [Pedrotti F., Pedrotti L., _Introduction to Optics_, Prentice-Hall International, 2nd Edition, 1993.](Pedrotti%20F.,%20Pedrotti%20L.,%20Introduction%20to%20Optics,%20Prentice-Hall%20International,%202nd%20Edition,%201993..md) [Peres, A., _Quantum Theory Concepts and Methods_, Kluwer Academic Publishers, 2002](Peres,%20A.,%20Quantum%20Theory%20Concepts%20and%20Methods,%20Kluwer%20Academic%20Publishers,%202002.md) [Pritchard, P. J., Fox and McDonald's Introduction to Fluid Mechanics, Wiley, 11th edition, 2011](Pritchard,%20P.%20J.,%20Fox%20and%20McDonald's%20Introduction%20to%20Fluid%20Mechanics,%20Wiley,%2011th%20edition,%202011.md) [Sakurai, J. J., Napolitano J., _Modern Quantum Mechanics_, Addison-Wesley, 2nd Edition, 2011](Sakurai,%20J.%20J.,%20Napolitano%20J.,%20Modern%20Quantum%20Mechanics,%20Addison-Wesley,%202nd%20Edition,%202011.md) [Shankar, R., _Principles of Quantum Mechanics_, Plenum Press, 2nd edition, 1994.](Shankar,%20R.,%20Principles%20of%20Quantum%20Mechanics,%20Plenum%20Press,%202nd%20edition,%201994..md) [Steck, D. A.,_Quantum and Atom Optics_, 2007 (last revised September 2021)](Steck,%20D.%20A.,Quantum%20and%20Atom%20Optics,%202007%20(last%20revised%20September%202021).md) [Sze, S. M. _Semiconductor Devices Physics and Technology_. John Wiley & Sons. 2nd Edition, 2002.](Sze,%20S.%20M.%20Semiconductor%20Devices%20Physics%20and%20Technology.%20John%20Wiley%20&%20Sons.%202nd%20Edition,%202002..md) [Sze, S., Ng, Kwok K. _Physics of Semiconductor Devices_. John Wiley and Sons, 2007.](Sze,%20S.,%20Ng,%20Kwok%20K.%20Physics%20of%20Semiconductor%20Devices.%20John%20Wiley%20and%20Sons,%202007..md) [Taylor, J. R., _Classical Mechanics_, Unversity Science Books, 2005.](Taylor,%20J.%20R.,%20Classical%20Mechanics,%20Unversity%20Science%20Books,%202005..md) [Woit, Peter. _Quantum Theory, Groups and Representations: An Introduction_. Springer. 2017.](Woit,%20Peter.%20Quantum%20Theory,%20Groups%20and%20Representations%20An%20Introduction,%20Springer,%202017.md) # Mathematics lecture notes [Marcolli M., The notion of space in mathematics, general audience lecture, sponsored by Revolution Books, Berkeley, 2009.](Marcolli%20M.,%20The%20notion%20of%20space%20in%20mathematics,%20general%20audience%20lecture,%20sponsored%20by%20Revolution%20Books,%20Berkeley,%202009..md) # Physics lecture notes [Broedersz, C. P., T M1, _Advanced Statistical Physics_, Lecture Notes, Summer 2018.](Broedersz,%20C.%20P.,%20T%20M1,%20Advanced%20Statistical%20Physics,%20Lecture%20Notes,%20Summer%202018..md) [Franklin, J., Physics 342, _Quantum Mechanics I_, Lecture Notes, Spring 2010](Franklin,%20J.,%20Physics%20342,%20Quantum%20Mechanics%20I,%20Lecture%20Notes,%20Spring%202010.md) [Grushin A., _Introduction to topological phases in condensed matter_, Les Houches doctoral school, _Frontiers of condensed matter_ 2022.](Grushin%20A.,%20Introduction%20to%20topological%20phases%20in%20condensed%20matter,%20Les%20Houches%20doctoral%20school,%20Frontiers%20of%20Condensed%20Matter,%202022..md) [McGreevy, John. A., Physics 212A Lecture Notes, Fall 2015.](McGreevy,%20John.%20A.,%20Physics%20212A%20Lecture%20Notes,%20Fall%202015..md) [Müller, Matthias., _Control of Spin Qubits_, Lecture Notes, Summer 2025](Müller,%20Matthias.,%20Control%20of%20Spin%20Qubits,%20Lecture%20Notes,%20Summer%202025.md) [Schollwöck, U., T2, _Quantenmechanik_, Lecture Notes, Winter 2019-2020.](Schollwöck,%20U.,%20T2,%20Quantenmechanik,%20Lecture%20Notes,%20Winter%202019-2020..md) # Problem Sets [Brunner, I., TM1 Quantum Mechanics II, Homework, Winter 2017-2018 & 2018-2019.](Brunner,%20I.,%20TM1%20Quantum%20Mechanics%20II,%20Homework,%20Winter%202017-2018%20&%202018-2019..md) [Schollwöck, U., T2, _Quantenmechanik_, Homework, Winter 2019-2020.](Schollwöck,%20U.,%20T2,%20Quantenmechanik,%20Homework,%20Winter%202019-2020..md) # Webpages [Brillouin zones, from University of Cambridge -- DoITPoMS online resources, 2008.](Brillouin%20zones,%20from%20University%20of%20Cambridge%20--%20DoITPoMS%20online%20resources,%202008..md) [joshphysics (https://physics.stackexchange.com/users/19976/joshphysics), Trace of an operator matrix (Quantum computation and quantum information), URL (version: 2015-04-24): https://physics.stackexchange.com/q/104155](joshphysics%20Trace%20of%20an%20operator%20matrix%20(Quantum%20computation%20and%20quantum%20information),%20URL%20(version%202015-04-24).md) [Weisstein, Eric W. "Boxcar Function." From MathWorld--A Wolfram Web Resource](Weisstein,%20Eric%20W.%20Boxcar%20Function.%20From%20MathWorld--A%20Wolfram%20Web%20Resource.md) [Weisstein, Eric W. Heaviside Step Function. From MathWorld--A Wolfram Web Resource.](Weisstein,%20Eric%20W.%20Heaviside%20Step%20Function.%20From%20MathWorld--A%20Wolfram%20Web%20Resource..md) [Weisstein, Eric W. "Sign." From MathWorld--A Wolfram Web Resource](Weisstein,%20Eric%20W.%20Sign.%20From%20MathWorld--A%20Wolfram%20Web%20Resource.md) [Weisstein, Eric W. Space. From MathWorld--A Wolfram Web Resource.](Weisstein,%20Eric%20W.%20Space.%20From%20MathWorld--A%20Wolfram%20Web%20Resource..md) #Bibliography #Literature/MathematicalMethodsForPhysics #Literature/Physics #Literature/LectureNotes #Literature/Webpages #Literature/Textbooks #Literature/Mathematics