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1

Zeng, Yihang. Study of Two-dimensional Correlated Quantum Fluid in Multi-layer graphene system. [publisher not identified], 2021.

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2

Živković, Tomislav P. Exact treatment of finite-dimensional and infinite-dimensional quantum systems. Nova Science Publishers, 2009.

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3

Kulish, Petr P., Nenad Manojlovich, and Henning Samtleben, eds. Infinite Dimensional Algebras and Quantum Integrable Systems. Birkhäuser-Verlag, 2005. http://dx.doi.org/10.1007/b137651.

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4

1944-, Kulish P. P., Manojlovic Nenad 1962-, and Samtleben Henning, eds. Infinite dimensional algebras and quantum integrable systems. Birkhäuser Verlag, 2005.

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5

Hayward, Carol Ann. Quantum mechanics in low-dimensional spin systems. University of Birmingham, 1994.

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6

Islam, Nurul T. High-Rate, High-Dimensional Quantum Key Distribution Systems. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-98929-7.

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7

Bauer, Günther. Low-Dimensional Electronic Systems: New Concepts. Springer Berlin Heidelberg, 1992.

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8

NATO Advanced Research Workshop on Optical Switching in Low-Dimensional Systems (1988 Marbella, Spain). Optical switching in low-dimensional systems. Plenum Press, 1989.

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9

Ha, Zachary Nyong-Chol. Quantum many-body systems in one dimension. World Scientific, 1996.

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10

Kloss, Benedikt. Numerically exact quantum dynamics of low-dimensional lattice systems. [publisher not identified], 2021.

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11

Franchini, Fabio. An Introduction to Integrable Techniques for One-Dimensional Quantum Systems. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-48487-7.

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12

Kuramoto, Y. Dynamics of one-dimensional quantum systems: Inverse-square interaction models. Cambridge University Press, 2009.

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13

Kuramoto, Y. Dynamics of one-dimensional quantum systems: Inverse-square interaction models. Cambridge University Press, 2010.

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14

1929-, Kato Y., ed. Dynamics of one-dimensional quantum systems: Inverse-square interaction models. Cambridge University Press, 2009.

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15

1927-, Balkanski Minko, and Andreev Nikolai, eds. Advanced electronic technologies and systems based on low-dimensional quantum devices. Kluwer Academic Publishers, 1997.

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16

Balkanski, Minko, and Nikolai Andreev, eds. Advanced Electronic Technologies and Systems Based on Low-Dimensional Quantum Devices. Springer Netherlands, 1997. http://dx.doi.org/10.1007/978-94-015-8965-9.

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17

Kaushal, R. S. Classical and Quantum Mechanics of Noncentral Potentials: A Survey of Two-Dimensional Systems. Springer Berlin Heidelberg, 1998.

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18

Vanderstraeten, Laurens. Tensor Network States and Effective Particles for Low-Dimensional Quantum Spin Systems. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-64191-1.

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19

E, Brézin, and Wadia S. R, eds. The Large N expansion in quantum field theory and statistical physics: From spin systems to 2-dimensional gravity. World Scientific, 1993.

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20

International Winter School on New Developments in Solid State Physics (13th 2004 Mauterndorf, Austria). Proceedings of the Thirteenth International Winterschool on New Developments in Solid State Physics: Low-dimensional systems : held in Mauterndorf, Austria, 15-20 February 2004. Edited by Bauer G. 1942-, Jantsch W. 1946-, and Kuchar F. 1941-. Elsevier, 2004.

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21

International Winter School on New Developments in Solid State Physics (13th 2004 Mauterndorf, Austria). Proceedings of the Thirteenth International Winterschool on New Developments in Solid State Physics: Low-dimensional systems : held in Mauterndorf, Austria, 15-20 February 2004. Edited by Bauer G. 1942-, Jantsch W. 1946-, and Kuchar F. 1941-. Elsevier, 2004.

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22

Peikert, Vincent. Utilizing wavelets to solve high-dimensional transport equations in nano-devices. Hartung-Gorre Verlag, 2013.

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23

Okiji, Ayao. Correlation Effects in Low-Dimensional Electron Systems: Proceedings of the 16th Taniguchi Symposium Kashikojima, Japan, October 25-29, 1993. Springer Berlin Heidelberg, 1994.

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24

ICONO '98 (1998 Moscow, Russia). ICONO '98: Quantum optics, interference phenomena in atomic systems, and high-precision measurements : 29 June-3 July 1998, Moscow, Russia. Edited by Andreev A. V, Scientific Council for Coherent and Nonlinear Optics (Rossiĭskai͡a akademii͡a nauk), and Russia (Federation). Ministerstvo nauki i tekhnologiĭ. SPIE--the International Society for Optical Engineering, 1999.

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25

Ohser, Joachim. 3D images of materials structures: Processing and analysis. Wiley-VCH, 2009.

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26

Dzhamay, Anton, Ken'ichi Maruno, and Christopher M. Ormerod. Algebraic and analytic aspects of integrable systems and painleve equations: AMS special session on algebraic and analytic aspects of integrable systems and painleve equations : January 18, 2014, Baltimore, MD. American Mathematical Society, 2015.

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27

Karmakar, Sachindra Nath, Santanu Kumar Maiti, and Chowdhury Jayeeta. Physics of Zero- and One-Dimensional Nanoscopic Systems. Springer London, Limited, 2007.

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28

(Editor), Sachindra Nath Karmakar, Santanu Kumar Maiti (Editor), and Chowdhury Jayeeta (Editor), eds. Physics of Zero- and One-Dimensional Nanoscopic Systems (Springer Series in Solid-State Sciences). Springer, 2007.

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29

Meijer, Gerhard Ingmar. Magnetic correlations in the one-dimensional quantum magnets Sr₀.₇₃CuO₂ and Ca₀.₈₃CuO₂ and the Mott-Hubbard system LaTiO₃. 1999.

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30

Levin, Frank S. Quantum Boxes, Stringed Instruments. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198808275.003.0008.

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Chapter 7 illustrates the results obtained by applying the Schrödinger equation to a simple pedagogical quantum system, the particle in a one-dimensional box. The wave functions are seen to be sine waves; their wavelengths are evaluated and used to calculate the quantized energies via the de Broglie relation. An energy-level diagram of some of the energies is constructed; on it are illustrations of the corresponding wave functions and probability distributions. The wave functions are seen to be either symmetric or antisymmetric about the midpoint of the line representing the box, thereby provi
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31

Zabrodin, Anton. Quantum spin chains and classical integrable systems. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198797319.003.0013.

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This chapter is a review of the recently established quantum-classical correspondence for integrable systems based on the construction of the master T-operator. For integrable inhomogeneous quantum spin chains with gl(N)-invariant R-matrices in finite-dimensional representations, the master T-operator is a sort of generating function for the family of commuting quantum transfer matrices depending on an infinite number of parameters. Any eigenvalue of the master T-operator is the tau-function of the classical modified KP hierarchy. It is a polynomial in the spectral parameter which is identifie
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32

Horing, Norman J. Morgenstern. Quantum Statistical Field Theory. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198791942.001.0001.

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The methods of coupled quantum field theory, which had great initial success in relativistic elementary particle physics and have subsequently played a major role in the extensive development of non-relativistic quantum many-particle theory and condensed matter physics, are at the core of this book. As an introduction to the subject, this presentation is intended to facilitate delivery of the material in an easily digestible form to students at a relatively early stage of their scientific development, specifically advanced undergraduates (rather than second or third year graduate students), wh
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33

Levin, Frank S. Surfing the Quantum World. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198808275.001.0001.

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Surfing the Quantum World bridges the gap between in-depth textbooks and typical popular science books on quantum ideas and phenomena. Among its significant features is the description of a host of mind-bending phenomena, such as a quantum object being in two places at once or a certain minus sign being the most consequential in the universe. Much of its first part is historical, starting with the ancient Greeks and their concepts of light, and ending with the creation of quantum mechanics. The second part begins by applying quantum mechanics and its probability nature to a pedagogical system,
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34

Kulish, Petr P., Nenad Manojlovic, and Henning Samtleben. Infinite Dimensional Algebras and Quantum Integrable Systems. Springer London, Limited, 2006.

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35

Petr P. Kulish,Nenad Manojlovic,Henning Samtleben. Infinite Dimensional Algebras and Quantum Integrable Systems. Springer, 2008.

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36

Kulish, P. P. Infinite Dimensional Algebras and Quantum Integrable Systems. Birkhauser, 2005.

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37

Quantum theory of one-dimensional spin systems. Cambridge Scientific Publishers, 2010.

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38

Frischmuth, Beat Markus. Quantum Monte Carlo investigations of low dimensional quantum spin systems. 1998.

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39

Islam, Nurul T. High-Rate, High-Dimensional Quantum Key Distribution Systems. Springer, 2018.

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40

Barnes, Crispin H. W. Quantum Transport Phenomena in Low-Dimensional Electron Systems. Cambridge University Press, 2004.

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41

Islam, Nurul T. High-Rate, High-Dimensional Quantum Key Distribution Systems. Springer, 2018.

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42

Barnes, Crispin H. W. Quantum Transport Phenomena in Low-Dimensional Electron Systems. Cambridge University Press, 2004.

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43

Fefferman, C. F., J. P. Lee-Thorp, and M. I. Weinstein. Topologically Protected States in One-Dimensional Systems. American Mathematical Society, 2017.

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44

van Houselt, Arie, and Harold J. W. Zandvliet. Self-organizing atom chains. Edited by A. V. Narlikar and Y. Y. Fu. Oxford University Press, 2017. http://dx.doi.org/10.1093/oxfordhb/9780199533046.013.9.

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This article examines the intriguing physical properties of nanowires, with particular emphasis on self-organizing atom chains. It begins with an overview of the one-dimensional free electron model and some interesting phenomena of one-dimensional electron systems. It derives an expression for the 1D density of states, which exhibits a singularity at the bottom of the band and extends the free-electron model, taking into consideration a weak periodic potential that is induced by the lattice. It also describes the electrostatic interactions between the electrons and goes on to discuss two inter
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45

Franchini, Fabio. An Introduction to Integrable Techniques for One-Dimensional Quantum Systems. Springer, 2017.

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46

Ha, Zachary N. Quantum Many-Body Systems in One Dimension. World Scientific Publishing Co Pte Ltd, 1996.

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47

Quantum many-body systems in one dimension. World Scientific, 1996.

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48

Quantum Many-Body Systems in One Dimension. World Scientific Publishing Co Pte Ltd, 1996.

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49

Shik, Alexander. Quantum Wells: Physics and Electronics of Two-Dimensional Systems. World Scientific Publishing Co Pte Ltd, 1998.

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50

Mathey, Ludwig G. Quantum phases of low-dimensional ultra-cold atom systems. 2007.

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