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1

Barbara, Bernard, Yosef Imry, G. Sawatzky, and P. C. E. Stamp, eds. Quantum Magnetism. Dordrecht: Springer Netherlands, 2008. http://dx.doi.org/10.1007/978-1-4020-8512-3.

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2

Schollwöck, Ulrich, Johannes Richter, Damian J. J. Farnell, and Raymod F. Bishop, eds. Quantum Magnetism. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/b96825.

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3

Bernard, Barbara, ed. Quantum magnetism. Dordrecht: Springer, 2008.

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4

Yoshihito, Miyako, Takayama H. 1945-, and Miyashita S. 1954-, eds. Frontiers in magnetism: Metallic magnetism, glassy magnetism, quantum magnetism. Tokyo: Physical Society of Japan, 2000.

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5

White, Robert M. Quantum Theory of Magnetism. Berlin, Heidelberg: Springer Berlin Heidelberg, 2007. http://dx.doi.org/10.1007/978-3-540-69025-2.

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6

Nolting, Wolfgang, and Anupuru Ramakanth. Quantum Theory of Magnetism. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-540-85416-6.

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7

Anupuru, Ramakanth, and SpringerLink (Online service), eds. Quantum theory of magnetism. Heidelberg: Springer, 2009.

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8

Auerbach, Assa. Interacting Electrons and Quantum Magnetism. New York, NY: Springer New York, 1994. http://dx.doi.org/10.1007/978-1-4612-0869-3.

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9

Auerbach, Assa. Interacting electrons and quantum magnetism. New York: Springer-Verlag, 1994.

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10

Viola Kusminskiy, Silvia. Quantum Magnetism, Spin Waves, and Optical Cavities. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-13345-0.

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11

Bontemps, Nicole. The Vortex State. Dordrecht: Springer Netherlands, 1994.

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12

Kübler, Jürgen K. Theory of itinerant electron magnetism. Oxford: Oxford University Press, 2009.

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13

Kübler, Jürgen K. Theory of itinerant electron magnetism. Oxford: Oxford University Press, 2009.

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14

Awschalom, D. D. Semiconductor Spintronics and Quantum Computation. Berlin, Heidelberg: Springer Berlin Heidelberg, 2002.

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15

Suzuki, Sei. Quantum Ising Phases and Transitions in Transverse Ising Models. 2nd ed. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013.

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16

Noce, C. Ruthenate and Rutheno-Cuprate Materials: Unconventional Superconductivity, Magnetism and Quantum Phase Transitions. Berlin, Heidelberg: Springer-Verlag Berlin Heidelberg, 2002.

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17

Khuri, Ramzi R. The Universality of Physics: A Festschrift in Honor of Deng Feng Wang. Boston, MA: Springer US, 2001.

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18

C, Noce, ed. Ruthenate and rutheno-cuprate materials: Unconventional superconductivity, magnetism, and quantum phase transitions. Berlin: Springer, 2002.

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19

Andreas, Hoser, and SpringerLink (Online service), eds. Renormalization Group Theory: Impact on Experimental Magnetism. Berlin, Heidelberg: Springer-Verlag Berlin Heidelberg, 2010.

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20

Buhmann, Stefan Yoshi. Dispersion Forces II: Many-Body Effects, Excited Atoms, Finite Temperature and Quantum Friction. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012.

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21

NATO, Advanced Study Institute on Interfaces Quantum Wells and Superlattices (1987 Banff Alta ). Interfaces, quantum wells, and superlattices. New York: Plenum Press, 1988.

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22

International Workshop on Quantum Effect Physics, Electronics and Applications (1992 Luxor, Egypt). Quantum effect physics, electronics, and applications: Proceedings of the International Workshop on Quantum Effect Physics, Electronics and Applications. Bristol: Institute of Physics Pub., 1992.

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23

Zabel, Hartmut. Magnetic Nanostructures: Spin Dynamics and Spin Transport. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013.

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24

Technology, California Institute of, Southern California Consortium for Community College Television, and Annenberg/CPB, eds. The Mechanical universe-- and beyond: Part II : Beyond the mechanical universe, programs 47-52. S. Burlington, VT: Annenberg/CPB, 2003.

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25

Technology, California Institute of, Southern California Consortium for Community College Television, and Annenberg/CPB, eds. The Mechanical universe-- and beyond: Part I : The mechanical universe, programs 5-8. S. Burlington, VT: Annenberg/CPB, 2003.

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26

Technology, California Institute of, Southern California Consortium for Community College Television, and Annenberg/CPB, eds. The Mechanical universe-- and beyond: Part I : The mechanical universe, programs 17-20. S. Burlington, VT: Annenberg/CPB, 2003.

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27

Technology, California Institute of, Southern California Consortium for Community College Television, and Annenberg/CPB, eds. The Mechanical universe-- and beyond: Part I : The mechanical universe, programs 13-16. S. Burlington, VT: Annenberg/CPB, 2003.

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28

Efstratios, Manousakis, and National High Magnetic Field Laboratory. Conference, eds. Physical phenomena at high magnetic fields: Proceedings. Redwood City, Calif: Addison-Wesley, 1992.

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29

Italy) Training Course in the Physics of Strongly Correlated Systems (16th 2011 Vietri sul Mare. Lectures on the physics of strongly correlated systems XVI: Sixteenth Training Course in the Physics of Strongly Correlated Systems, Vietri Sul Mare (Salerno), Italy, 3-14 October 2011. Edited by Avella Adolfo and Mancini Ferdinando. Melville, N.Y: American Institute of Physics, 2012.

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30

Technology, California Institute of, Southern California Consortium for Community College Television, and Annenberg/CPB, eds. The Mechanical universe-- and beyond: Part II : Beyond the mechanical universe, programs 35-38. S. Burlington, VT: Annenberg/CPB, 2003.

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31

Technology, California Institute of, Southern California Consortium for Community College Television, and Annenberg/CPB, eds. The Mechanical universe-- and beyond: Part II : Beyond the mechanical universe, programs 27-30. S. Burlington, VT: Annenberg/CPB, 2003.

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32

Adolfo, Avella, Mancini Ferdinando, and American Institute of Physics, eds. Lectures on the physics of strongly correlated systems XIV: Fourteenth Training Course in the Physics of Strongly Correlated Systems, Vietri sul Mare (Salerno), Italy, 5-16 October 2009. Melville, N.Y: American Institute of Physics, 2010.

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33

Richter, Johannes, Raymond F. Bishop, Damian J. J. Farnell, and Ulrich Schollwöck. Quantum Magnetism. Springer London, Limited, 2008.

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34

Richter, Johannes, Raymond F. Bishop, Damian J. J. Farnell, and Ulrich Schollwöck. Quantum Magnetism. Springer Berlin / Heidelberg, 2010.

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35

Frontiers in magnetism: Metallic magnetism, glassy magnetism, quantum magnetism. Tokyo: Physical Society of Japan, 2000.

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36

White, Robert M. Quantum Theory of Magnetism. 3rd ed. Springer, 2006.

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37

Quantum Theory of Magnetism. 2nd ed. World Scientific Publishing Company, 2007.

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38

Quantum Theory of Magnetism. World Scientific Publishing Co Pte Ltd, 2000.

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39

Ramakanth, Wolfgang Nolting Anupuru. Quantum Theory of Magnetism. Springer, 2009.

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40

Quantum Theory of Magnetism. World Scientific Publishing Co Pte Ltd, 2000.

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41

Quantentheorie des Magnetismus. Stuttgart: B.G. Teubner, 1986.

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42

Auerbach, Assa. Interacting Electrons and Quantum Magnetism. Springer, 2012.

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43

Majlis, Norberto. The Quantum Theory of Magnetism. WORLD SCIENTIFIC, 2007. http://dx.doi.org/10.1142/6094.

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44

Interacting Electrons And Quantum Magnetism. World Publishing Company, 2007.

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45

Auerbach, Assa. Interacting Electrons and Quantum Magnetism. Springer, 2012.

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46

The quantum theory of magnetism. Singapore: World Scientific, 2000.

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47

Interacting Electrons and Quantum Magnetism. Island Press, 1994.

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48

(Editor), Ulrich Schollwöck, Johannes Richter (Editor), Damian J.J. Farnell (Editor), and Raymond F. Bishop (Editor), eds. Quantum Magnetism (Lecture Notes in Physics). Springer, 2004.

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49

Boudreau, Joseph F., and Eric S. Swanson. Quantum spin systems. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198708636.003.0022.

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The quantum mechanical underpinnings of magnetism are explored via the Heisenberg model of antiferromagnetism. The Lanczos algorithm is developed and applied to obtain ground state properties of the anisotropic antiferromagnetic Heisenberg spin chain. In particular, the phase diagram for the system magnetization is determined. A quantum Monte Carlo method that is appropriate for discrete systems is also presented. The method leverages the similarity between the Schrödinger equation and the diffusion equation to compute energy levels. The formalism necessary to compute ground state matrix elements is also developed. Finally, the method is tested with an application to the spin chain.
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50

Tiablikov, Sergeǐ Vladimirovich. Methods in the Quantum Theory of Magnetism. Springer London, Limited, 2013.

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