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Published: 10 December 2022
Last updated: 29 January 2023

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1

Sergeev, S. M. "Quantum 2 + 1 evolution model." Journal of Physics A: Mathematical and General 32, no. 30 (July 20, 1999): 5693–714. http://dx.doi.org/10.1088/0305-4470/32/30/313.

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2

Cao, Jun-peng, Bo-yu Hou, and Rui-hong Yue. "GeneralizedSUq(1|2) Gaudin model." Journal of Physics A: Mathematical and General 34, no. 18 (April 27, 2001): 3761–68. http://dx.doi.org/10.1088/0305-4470/34/18/305.

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3

KÖRNER, J. G., and CHUN LIU. "A SUPERSYMMETRIC MODEL WITH THE GAUGE SYMMETRY SU(3)1 × SU(2)1 × U(1)1 × SU(3)2 × SU(2)2 × U(1)2." Modern Physics Letters A 18, no. 14 (May 10, 2003): 967–75. http://dx.doi.org/10.1142/s0217732303010715.

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A supersymmetric model with two copies of the Standard Model gauge groups is constructed in the gauge mediated supersymmetry breaking scenario. The supersymmetry breaking messengers are in a simple form. The Standard Model is obtained after first step gauge symmetry breaking. In the case of one copy of the gauge interactions being strong, a scenario of electroweak symmetry breaking is discussed, and the gauginos are generally predicted to be heavier than the sfermions.
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4

Jun-peng, Cao, Hou Bo-yu, and Yue Rui-hong. "Supersymmetric SU (1|2) Gaudin model." Chinese Physics 10, no. 2 (January 22, 2001): 103–8. http://dx.doi.org/10.1088/1009-1963/10/2/303.

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5

Kulish, P. P., and N. Manojlović. "Trigonometric osp(1∣2) Gaudin model." Journal of Mathematical Physics 44, no. 2 (2003): 676. http://dx.doi.org/10.1063/1.1531250.

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6

Currens, Julie Baldry, and Christine P. Bithell. "The 2:1 Clinical Placement Model." Physiotherapy 89, no. 4 (April 2003): 204–18. http://dx.doi.org/10.1016/s0031-9406(05)60152-6.

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7

Currens, Julie Baldry. "The 2:1 Clinical Placement Model." Physiotherapy 89, no. 9 (September 2003): 540–54. http://dx.doi.org/10.1016/s0031-9406(05)60180-0.

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8

Currens, J. Baldry, and CP Bithell. "The 2:1 Clinical Placement Model." Physiotherapy 88, no. 12 (December 2002): 760–61. http://dx.doi.org/10.1016/s0031-9406(05)60722-5.

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9

Zarembo, K. L. "The (-1/2??2) model of quantum field theory." Theoretical and Mathematical Physics 91, no. 3 (June 1992): 613–17. http://dx.doi.org/10.1007/bf01017336.

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10

Chadi, D. J. "Atomic structure of the (2×2) reconstructed GaAs(1¯1¯1¯) surface: A multivacancy model." Physical Review Letters 57, no. 1 (July 7, 1986): 102–5. http://dx.doi.org/10.1103/physrevlett.57.102.

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11

Vayo, H. Westcott. "Model Geometry for HIV-1 and -2." Missouri Journal of Mathematical Sciences 4, no. 2 (May 1992): 49–54. http://dx.doi.org/10.35834/1992/0402049.

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12

Pang, C. L., S. A. Haycock, H. Raza, P. W. Murray, G. Thornton, O. Gülseren, R. James, and D. W. Bullett. "Added row model ofTiO2(110)1×2." Physical Review B 58, no. 3 (July 15, 1998): 1586–89. http://dx.doi.org/10.1103/physrevb.58.1586.

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13

Zeid, Mohab Abou, and Christopher M. Hull. "The gauged (2, 1) heterotic sigma model." Nuclear Physics B 513, no. 1-2 (March 1998): 490–514. http://dx.doi.org/10.1016/s0550-3213(97)00749-9.

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14

Izquierdo, J. M., M. S. Rashid, B. Piette, and W. J. Zakrzewski. "Model with solitons in (2+1) dimensions." Zeitschrift f�r Physik C Particles and Fields 53, no. 1 (March 1992): 177–82. http://dx.doi.org/10.1007/bf01483887.

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15

Yan, Zhao-Wen, Min-Ru Chen, Ke Wu, and Wei-Zhong Zhao. "(2+1)-Dimensional Integrable Heisenberg Supermagnet Model." Journal of the Physical Society of Japan 81, no. 9 (September 15, 2012): 094006. http://dx.doi.org/10.1143/jpsj.81.094006.

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16

Grimmett, Geoffrey R., and Zhongyang Li. "Critical Surface of the 1-2 Model." International Mathematics Research Notices 2018, no. 21 (April 29, 2017): 6617–72. http://dx.doi.org/10.1093/imrn/rnx066.

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17

Nakamura, M., H. Minowa, and N. Mishima. "Quantization of theCP 2 n−1 model." Il Nuovo Cimento A 98, no. 1 (July 1987): 73–84. http://dx.doi.org/10.1007/bf02902354.

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18

Allton, C. R., and C. J. Hamer. "The (1+1)DO(2) model: a finite lattice analysis." Journal of Physics A: Mathematical and General 21, no. 10 (May 21, 1988): 2417–29. http://dx.doi.org/10.1088/0305-4470/21/10/019.

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19

Dalmazi, D., and Elias L. Mendonça. "A new spin-2 self-dual model inD= 2+1." Journal of High Energy Physics 2009, no. 09 (September 1, 2009): 011. http://dx.doi.org/10.1088/1126-6708/2009/09/011.

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20

Raju, Chandra. "SU(2)L�SU(2)R�U(1) gauge model." International Journal of Theoretical Physics 25, no. 10 (October 1986): 1105–16. http://dx.doi.org/10.1007/bf00671686.

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21

Phong, Vo Quoc, and Minh Anh Nguyen. "Electroweak phase transition with three phases in the SU(2)1 ⊗ SU(2)2 ⊗ U(1)Y model." International Journal of Modern Physics A 34, no. 15 (May 30, 2019): 1950073. http://dx.doi.org/10.1142/s0217751x19500738.

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Our analysis shows that SM-like electroweak phase transition (EWPT) in the [Formula: see text] (2-2-1) model is a first-order phase transition at the 200 GeV scale (the SM scale). Its strength [Formula: see text] is about 1–2.7 and the masses of new gauge bosons are larger than 1.7 TeV when the second VEV is larger than 535 GeV in a three-stage EWPT scenario and the coupling constant of [Formula: see text] group must be larger than 2. Therefore, this first-order EWPT can be used to fix VEVs and the coupling constant of the gauge group in electroweak models.
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22

Garrido, T. M., R. de la Rosa, E. Recio, and M. S. Bruzón. "Symmetries, solutions and conservation laws for the $$(2+1)$$ ( 2 + 1 ) filtration-absorption model." Journal of Mathematical Chemistry 57, no. 5 (September 24, 2018): 1301–13. http://dx.doi.org/10.1007/s10910-018-0955-9.

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23

Xu, Huiling, Yun Zou, Shengyuan Xu, James Lam, and Qing Wang. "H∞ Model Reduction of 2-D Singular Roesser Models." Multidimensional Systems and Signal Processing 16, no. 3 (July 2005): 285–304. http://dx.doi.org/10.1007/s11045-005-1678-1.

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24

Albayrak, Erhan. "The ±J model for the mixed-spin 1/2 and 3/2 Blume–Capel model." Physica B: Condensed Matter 494 (August 2016): 91–95. http://dx.doi.org/10.1016/j.physb.2016.04.028.

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25

Theodorakopoulos, N., and N. C. Bacalis. "Semiclassical solitons and theS=1/2 Heisenberg model." Physical Review Letters 67, no. 21 (November 18, 1991): 3018–21. http://dx.doi.org/10.1103/physrevlett.67.3018.

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26

Inoue, Rei, and Kazuhiro Hikami. "Quantum Integrable Model on (2+1)-D Lattice." Journal of the Physical Society of Japan 68, no. 6 (June 15, 1999): 1843–46. http://dx.doi.org/10.1143/jpsj.68.1843.

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27

Haba, N., C. Hattori, M. Matsuda, T. Matsuoka, and D. Mochinaga. "The Aligned SU(5) xU(1)2 Model." Progress of Theoretical Physics 94, no. 2 (August 1, 1995): 233–47. http://dx.doi.org/10.1143/ptp.94.233.

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28

Laird, David A. "Model for Crystalline Swelling of 2:1 Phyllosilicates." Clays and Clay Minerals 44, no. 4 (1996): 553–59. http://dx.doi.org/10.1346/ccmn.1996.0440415.

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29

Frenkel, J., and A. C. Silva Fo. "Model of confinement in (2+1)-dimensional QCD." Physical Review D 33, no. 8 (April 15, 1986): 2455–61. http://dx.doi.org/10.1103/physrevd.33.2455.

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30

Ming-Liang, Hu, and Tian Dong-Ping. "Bipartite entanglement in spin-1/2 Heisenberg model." Chinese Physics C 32, no. 4 (April 2008): 303–7. http://dx.doi.org/10.1088/1674-1137/32/4/013.

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31

Grisaru, Marcus T., Silvia Penati, and Alberto Romagnoni. "Nonanticommutative superspace and N = 1/2 WZ model." Classical and Quantum Gravity 21, no. 10 (April 17, 2004): S1391—S1397. http://dx.doi.org/10.1088/0264-9381/21/10/012.

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32

Bonezzi, Roberto, and Marco Falconi. "Mode regularization forN= 1, 2 SUSY Sigma model." Journal of High Energy Physics 2008, no. 10 (October 3, 2008): 019. http://dx.doi.org/10.1088/1126-6708/2008/10/019.

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33

Li, Guo-Dong, Shiro Masuda, Daisuke Yamaguchi, Masatake Nagai, and Chen-Hong Wang. "An improved grey dynamic GM(2, 1) model." International Journal of Computer Mathematics 87, no. 7 (June 2010): 1617–29. http://dx.doi.org/10.1080/00207160802409857.

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34

Li Li, Li-kun Wang, Lei Qin, and Yi Lv. "The theoretical model of 1-3-2 piezocomposites." IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control 56, no. 7 (July 2009): 1476–82. http://dx.doi.org/10.1109/tuffc.2009.1203.

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35

Karam, Nada, and Ahmed Khaleel. "Weibull reliability estimation for (2+1) cascade model." International Journal of Advanced Mathematical Sciences 6, no. 1 (March 17, 2018): 19. http://dx.doi.org/10.14419/ijams.v6i1.9284.

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In this paper endeavors to submit reliability (R) of a special (2+1) stress-strength Cascade model for Weibull distribution. Expressions for the model reliability are obtained when the strength and stress are weibull random variables with known shape and unknown scale parameters. Four different methods (ML, Mo, LS and WLS) are used to estimate the reliability and make a comparison between them in simulation study with program made by MATLAB 2016 using criterion MSE, where it found that the best estimator between the four estimators was ML.
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36

Leo, R. A., L. Martina, and G. Soliani. "A noncompact spin model in (2+1) dimensions." Physics Letters B 247, no. 4 (September 1990): 562–66. http://dx.doi.org/10.1016/0370-2693(90)91901-m.

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37

Azakov, S. I. "One-plaquette (2+1)-model with arbitrary action." Theoretical and Mathematical Physics 62, no. 2 (February 1985): 148–58. http://dx.doi.org/10.1007/bf01033524.

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38

Srivastava, S. K. "(1+2)-Dimensional model of the early universe." International Journal of Theoretical Physics 35, no. 1 (January 1996): 171–87. http://dx.doi.org/10.1007/bf02082941.

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39

Samuel, Mark A. "¦ΔI¦=1/2 Rule in the standard model." International Journal of Theoretical Physics 35, no. 7 (July 1996): 1389–92. http://dx.doi.org/10.1007/bf02084948.

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40

Strait, R., B. Susskind, and F. Finkelman. "Murine TRALI: 1-hit vs. 2-hit model." Human Immunology 66, no. 8 (August 2005): 18. http://dx.doi.org/10.1016/j.humimm.2005.08.029.

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41

Novoselsky, A., and I. Talmi. "IBA-1 as a model of IBA-2." Physics Letters B 160, no. 1-3 (October 1985): 13–16. http://dx.doi.org/10.1016/0370-2693(85)91458-3.

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42

Monti, F. "Spin-1/2 Heisenberg model on Δ trees." Physics Letters A 156, no. 3-4 (June 10, 1991): 197–200. http://dx.doi.org/10.1016/0375-9601(91)90937-4.

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43

Spencer, Peter. "An Admissible Macro-Finance Model of the US Treasury Market." Multinational Finance Journal 13, no. 1/2 (June 1, 2009): 1–38. http://dx.doi.org/10.17578/13-1/2-1.

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44

Booth, Michael J., Andrew C. Eaton, and A. D. J. Haymet. "Electrolytes at charged interfaces: Integral equation theory for 2–2 and 1–1 model electrolytes." Journal of Chemical Physics 103, no. 1 (July 1995): 417–31. http://dx.doi.org/10.1063/1.469608.

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45

Morita, Tohru, and Kazuyuki Tanaka. "Generalized Heisenberg Model of SpinSGreater than 1/2 Equivalent to that of Spin 1/2." Journal of the Physical Society of Japan 62, no. 11 (November 15, 1993): 3771–73. http://dx.doi.org/10.1143/jpsj.62.3771.

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46

Gao, Bian, Jifeng Cui, Xiaoli Wang, and Zhaowen Yan. "(2 + 1)-Dimensional generalized third-order Heisenberg supermagnet model." International Journal of Geometric Methods in Modern Physics 15, no. 11 (November 2018): 1850185. http://dx.doi.org/10.1142/s0219887818501852.

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The Heisenberg supermagnet model is an important supersymmetric integrable system which is the super extension of the Heisenberg ferromagnet model. By virtue of introducing the general auxiliary matrix variables, we construct a new [Formula: see text]-dimensional generalized integrable Heisenberg supermagnet models under two constraints. Meanwhile, we establish their corresponding gauge equivalent counterparts. Moreover, we derive new solutions of the supersymmetric integrable systems by means of the Bäcklund transformations.
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47

Viennot, David. "Fuzzy Schwarzschild (2 + 1)-spacetime." Journal of Mathematical Physics 63, no. 8 (August 1, 2022): 082302. http://dx.doi.org/10.1063/5.0091364.

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We present a toy model of a fuzzy Schwarzschild space slice (as a noncommutative manifold), in which quantum mean values and quantum quasi-coherent states (states minimizing the quantum uncertainties) have properties close to the classical slice of ( r, θ) Schwarzschild coordinates (the so-called Flamm’s paraboloid). This fuzzy Schwarzschild slice is built as a deformation of the noncommutative plane. Quantum time observables are introduced to add a time quantization in the model. We study the structure of the quasi-coherent state of the fuzzy Schwarzschild slice with respect to the quasi-coherent state and the deformation states of the noncommutative plane. The quantum dynamics of a fermion interacting with a fuzzy black hole described by the present model is studied. In particular, we study the decoherence effects appearing in the neighborhood of the fuzzy event horizon. An extension of the model to describe a quantum wormhole is also proposed, where we show that fermions cross the wormhole not by traveling by its internal space but by quantum tunneling, in accordance with the non-traversable character of classical Einstein–Rosen bridges.
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48

CRESWICK, RICHARD J., and CYNTHIA J. SISSON. "MONTE CARLO STUDY OF THE SPIN-1/2 HEISENBERG MODEL IN 1, 2, AND 3 DIMENSIONS." Modern Physics Letters B 05, no. 13 (June 10, 1991): 907–14. http://dx.doi.org/10.1142/s0217984991001131.

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The properties of the spin-1/2 Heisenberg model on 1, 2, and 3-dimensional lattices are calculated using the Decoupled Cell Method of Homma et al., and these results are compared with high temperature and spin-wave expansions, and with other numerical approaches. The DCM has advantages over other Monte Carlo methods currently in wide use in that the transition probability is positive definite, there is no need to introduce an additional imaginary time, or Trotter, dimension, and the acceptance rate for transitions is comparable to that of classical lattice models. We find very good agreement between the DCM and the high temperature expansion in the temperature region where the high temperature expansion is valid, and reasonably good agreement at low temperatures with spin wave theory. The DCM fails for temperatures T < Tc which decreases with the size of the cell.
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49

Radi, Zaher A., and Robert Ostroski. "Pulmonary and Cardiorenal Cyclooxygenase-1 (COX-1), -2 (COX-2), and Microsomal Prostaglandin E Synthase-1 (mPGES-1) and -2 (mPGES-2) Expression in a Hypertension Model." Mediators of Inflammation 2007 (2007): 1–8. http://dx.doi.org/10.1155/2007/85091.

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Hypertensive mice that express the human renin and angiotensinogen genes are used as a model for human hypertension because they develop hypertension secondary to increased renin-angiotensin system activity. Our study investigated the cellular localization and distribution of COX-1, COX-2, mPGES-1, and mPGES-2 in organ tissues from a mouse model of human hypertension. Male (n=15) and female (n=15) double transgenic mice (h-Ang 204/1 h-Ren 9) were used in the study. Lung, kidney, and heart tissues were obtained from mice at necropsy and fixed in 10%neutral buffered formalin followed by embedding in paraffin wax. Cut sections were stained immunohistochemically with antibodies to COX-1, COX-2, mPGES-1, and mPGES-2 and analyzed by light microscopy. Renal expression of COX-1 was the highest in the distal convoluted tubules, cortical collecting ducts, and medullary collecting ducts; while proximal convoluted tubules lacked COX-1 expression. Bronchial and bronchiolar epithelial cells, alveolar macrophages, and cardiac vascular endothelial cells also had strong COX-1 expression, with other renal, pulmonary, or cardiac microanatomic locations having mild-to-moderate expression. mPGES-2 expression was strong in the bronchial and bronchiolar epithelial cells, mild to moderate in various renal microanatomic locations, and absent in cardiac tissues. COX-2 expression was strong in the proximal and distal convoluted tubules, alveolar macrophages, and bronchial and bronchiolar epithelial cells. Marked mPGES-1 was present only in bronchial and bronchiolar epithelial cells; while mild-to-moderate expression was present in other pulmonary, renal, or cardiac microanatomic locations. Expression of these molecules was similar between males and females. Our work suggests that in hypertensive mice, there are (a) significant microanatomic variations in the pulmonary, renal, and cardiac distribution and cellular localization of COX-1, COX-2, mPGES-1, and mPGES-2, and (b) no differences in expression between genders.
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50

Baran, O. R., and T. M. Verkholyak. "Two-Dimensional Spin-1/2 J1 – J'1 – J2 Heisenberg Model within Jordan–Wigner Transformation." Ukrainian Journal of Physics 61, no. 7 (July 2016): 597–605. http://dx.doi.org/10.15407/ujpe61.07.0597.

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