Relevant bibliographies by topics / Matrix mechanics

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Matrix mechanics'

Author: Grafiati
Published: 4 June 2021
Last updated: 25 July 2025

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Journal articles on the topic "Matrix mechanics"

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Little, J. Paige, Clayton Adam, Graeme Pettet, and Mark J. Pearcy. "Initiation of Mechanical Derangement in the Anulus Fibrosus Ground Matrix(Soft Tissue Mechanics)." Proceedings of the Asian Pacific Conference on Biomechanics : emerging science and technology in biomechanics 2004.1 (2004): 183–84. http://dx.doi.org/10.1299/jsmeapbio.2004.1.183.

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Kawamura, Y. "Generalized Matrix Mechanics." Progress of Theoretical Physics 107, no. 6 (2002): 1105–15. http://dx.doi.org/10.1143/ptp.107.1105.

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Tran, J., L. Doughty, and J. K. Freericks. "The 1925 revolution of matrix mechanics and how to celebrate it in modern quantum mechanics classes." American Journal of Physics 93, no. 1 (2025): 14–20. https://doi.org/10.1119/5.0195658.

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In 1925, Heisenberg, Born, and Jordan developed matrix mechanics as a strategy to solve quantum-mechanical problems. While finite-sized matrix formulations are commonly taught in quantum instruction, following the logic and detailed steps of the original matrix mechanics has become a lost art. In preparation for the 100th anniversary of the discovery of quantum mechanics, we present a modernized discussion of how matrix mechanics is formulated, how it is used to solve quantum-mechanical problems, and how it can be employed as the starting point for a postulate-based formulation of quantum-mech
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Y., Seetharamarao, Bharathi C., and Sri ram Murthy P. "Journal of Fluid Mechanics and Mechanical Design." Journal of Fluid Mechanics and Mechanical Design 1, no. 1 (2019): 6–11. https://doi.org/10.5281/zenodo.3362104.

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The main objective of this work is to focus on modelling and analysis of connecting rod by varying material with same geometry. Many works are carried out by using alloys in the analysis of connecting rod such as aluminium, forged steel and titanium. The material for the connecting rod used here is Aluminium Reinforced with Boron Carbide Metal matrix composite. The solid model of connecting rod is created in CATIA V5. The static and dynamic analysis are performed by Finite Element Analysis (FEA) software to determine the parameters for connecting rod like von Mises stress, deformation and natu
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Anninos, Dionysios, Frederik Denef, and Ruben Monten. "Grassmann matrix quantum mechanics." Journal of High Energy Physics 2016, no. 4 (2016): 1–26. http://dx.doi.org/10.1007/jhep04(2016)138.

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Tschang, Y. "Matrix Mechanics and Hadron Statics." Physics Essays 10, no. 2 (1997): 315–26. http://dx.doi.org/10.4006/1.3028718.

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Betzios, P., U. Gürsoy, and O. Papadoulaki. "Matrix quantum mechanics onS1/Z2." Nuclear Physics B 928 (March 2018): 356–414. http://dx.doi.org/10.1016/j.nuclphysb.2018.01.019.

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Bebiano, N., J. da Providência, and R. Lemos. "Matrix inequalities in statistical mechanics." Linear Algebra and its Applications 376 (January 2004): 265–73. http://dx.doi.org/10.1016/j.laa.2003.07.004.

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Kawamura, Y. "Structure of Cubic Matrix Mechanics." Progress of Theoretical Physics 109, no. 1 (2003): 1–10. http://dx.doi.org/10.1143/ptp.109.1.

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Ren, Zhi. "Analysis of contribution of matrix mechanics on quantum mechanics." EPJ Web of Conferences 332 (2025): 01010. https://doi.org/10.1051/epjconf/202533201010.

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In this paper the analysis and discussion about the contribution made by matrix mechanics, i.e. the establishment of complex form of quantum mechanics and the proposal of mathematic formalism of uncertainty principle, to the development of quantum mechanics are conducted, thereby to disclose how the complex functions enter the quantum mechanics by accident and turn to be a must of it. The evolution of mathematic formula, which implies the uncertainty principle, is also outlined to reflect the contribution of three founders of matrix mechanics. Also disclosed is the physical meaning of coordina
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Dissertations / Theses on the topic "Matrix mechanics"

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Pehlivan, Yamac. "Matrix Quantum Mechanics And Integrable Systems." Phd thesis, METU, 2004. http://etd.lib.metu.edu.tr/upload/12605065/index.pdf.

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In this thesis we improve and extend an algebraic technique pioneered by M. Gaudin. The technique is based on an infinite dimensional Lie algebra and a related family of mutually commuting Hamiltonians. In order to find energy eigenvalues of such Hamiltonians one has to solve the equations of Bethe ansatz. However, in most cases analytical solutions are not available. In this study we examine a special case for which analytical solutions of Bethe ansatz equations are not needed. Instead, some special properties of these equations are utilized to evaluate the energy eigenvalues. We use this met
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Dibelka, Jessica Anne. "Mechanics of Hybrid Metal Matrix Composites." Diss., Virginia Tech, 2013. http://hdl.handle.net/10919/50579.

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The appeal of hybrid composites is the ability to create materials with properties which normally do not coexist such as high specific strength, stiffness, and toughness. One possible application for hybrid composites is as backplate materials in layered armor. Fiber reinforced composites have been used as backplate materials due to their potential to absorb more energy than monolithic materials at similar to lower weights through microfragmentation of the fiber, matrix, and fiber-matrix interface. Composite backplates are traditionally constructed from graphite or glass fiber reinforced epoxy
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Francis, William H. IV. "Mechanics of post-microbuckled compliant-matrix composites." Connect to online resource, 2008. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:1453575.

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Wilkinson, Angus J. "Micro-mechanics of continuous fibre metal matrix composites." Thesis, University of Bristol, 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.393899.

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Ahn, Byung Ki. "Interfacial Mechanics in Fiber-Reinforced Composites: Mechanics of Single and Multiple Cracks in CMCs." Diss., Virginia Tech, 1997. http://hdl.handle.net/10919/29791.

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Several critical issues in the mechanics of the interface between the fibers and matrix in ceramic matrix composites (CMCs) are studied. The first issue is the competition between crack deflection and penetration at the fiber/matrix interface. When a matrix crack, the first fracture mode in a CMC, reaches the interface, two different crack modes are possible; crack deflection along the interface and crack penetration into the fibers. A criterion based on strain energy release rates is developed to determine the crack propagation at the interface. The Axisymmetric Damage Model (ADM), a newl
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林長淨 and Cheung-ching Lam. "The U-matrix theory and its applications." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1986. http://hub.hku.hk/bib/B31230635.

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Lam, Cheung-ching. "The U-matrix theory and its applications /." [Hong Kong : University of Hong Kong], 1986. http://sunzi.lib.hku.hk/hkuto/record.jsp?B12323901.

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Cui, Wenping. "Statistical Mechanics of Microbiomes:." Thesis, Boston College, 2021. http://hdl.handle.net/2345/bc-ir:109135.

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Thesis advisor: Pankaj Mehta<br>Thesis advisor: Ziqiang Wang<br>Nature has revealed an astounding degree of phylogenetic and physiological diversity in natural environments -- especially in the microbial world. Microbial communities are incredibly diverse, ranging from 500-1000 species in human guts to over 1000 species in marine ecosystems. Historically, theoretical ecologists have devoted considerable effort to analyzing ecosystems consisting of a few species. However, analytical approaches and theoretical insights derived from small ecosystems consisting of a few species may not scale up to
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Chia, Julian Yan Hon. "A micromechanics-based continuum damage mechanics approach to the mechanical behaviour of brittle matrix composites." Thesis, University of Glasgow, 2002. http://theses.gla.ac.uk/2856/.

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The thesis describes the development of a new continuum damage mechanics (hereafter, CDM) model for the deformation and failure of brittle matrix composites reinforced with continuous fibres. The CDM model is valid over sizes scales large compared to the spacing of the fibres and the dimensions of the damage. The composite is allowed to sustain damage in the form of matrix micro-cracking, shear delamination, tensile delamination and fibre failure. The constitutive equations are developed by decomposing the composite compliance into terms attributable to the fibre and matrix, and modelling the
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Wang, Aiguo. "Abrasive wear of metal matrix composites." Thesis, University of Cambridge, 1988. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.305516.

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Books on the topic "Matrix mechanics"

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Ludyk, Günter. Quantum Mechanics in Matrix Form. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-26366-3.

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Horn, Roger A. Matrix analysis. Cambridge University Press, 1990.

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International Symposium on Brittle Matrix Composites (3rd 1991 Warsaw, Poland). Brittle matrix composites 3. Elsevier Applied Science, 1991.

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Z, Voyiadjis G., Ju J. W, and U.S. National Congress of Applied Mechanics (12th : 1994 : University of Washington, Seattle), eds. Inelasticity and micromechanics of metal matrix composites. Elsevier, 1994.

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Golub, Gene H. Matrix computations. 2nd ed. Johns Hopkins University Press, 1989.

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1951-, O'Connor William, and Pulko Susan H, eds. Transmission line matrix in computational mechanics. CRC Press, 2006.

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Borg, Sidney F. Matrix-tensor methods in continuum mechanics. 2nd ed. World Scientific, 1990.

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Thomas, King J., ed. Matrix methods andapplications. Prentice Hall, 1988.

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Blum, Karl. Density matrix theory and applications. 2nd ed. Plenum Press, 1996.

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Benedetto, Richard F. Matrix management: Theory in practice. Kendall/ Hunt Pub. Co., 1985.

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Book chapters on the topic "Matrix mechanics"

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Stapp, Henry. "Matrix Mechanics." In Compendium of Quantum Physics. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-540-70626-7_114.

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Michelsen, Eric L. "Matrix Mechanics." In Quirky Quantum Concepts. Springer New York, 2014. http://dx.doi.org/10.1007/978-1-4614-9305-1_4.

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Rajasekar, S., and R. Velusamy. "Matrix Mechanics." In Quantum Mechanics I, 2nd ed. CRC Press, 2022. http://dx.doi.org/10.1201/9781003172178-6.

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Giliberti, Marco, and Luisa Lovisetti. "Matrix Mechanics." In Challenges in Physics Education. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-57934-9_11.

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Komech, Alexander. "Heisenberg’s Matrix Mechanics." In Quantum Mechanics: Genesis and Achievements. Springer Netherlands, 2013. http://dx.doi.org/10.1007/978-94-007-5542-0_2.

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Feagin, James M. "Basic Matrix Mechanics." In Quantum Methods with Mathematica®. Springer New York, 1994. http://dx.doi.org/10.1007/978-1-4612-4328-1_9.

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Kazakov, Vladimir. "Matrix Quantum Mechanics." In Asymptotic Combinatorics with Application to Mathematical Physics. Springer Netherlands, 2002. http://dx.doi.org/10.1007/978-94-010-0575-3_1.

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Lu, Lingyi, Junbo Jia, and Zhuo Tang. "Matrix Displacement Analysis." In Structural Mechanics. CRC Press, 2022. http://dx.doi.org/10.1201/9781003095699-7.

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Hecht, K. T. "The S Matrix." In Quantum Mechanics. Springer New York, 2000. http://dx.doi.org/10.1007/978-1-4612-1272-0_51.

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Chawla, K. K. "Interface mechanics and toughness." In Ceramic Matrix Composites. Springer US, 1993. http://dx.doi.org/10.1007/978-1-4757-2216-1_9.

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Conference papers on the topic "Matrix mechanics"

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Liu, Xing-Xiang, and Li Zhang. "Matrix stretching operations." In The 2015 International Conference on Mechanics and Mechanical Engineering (MME 2015). WORLD SCIENTIFIC, 2016. http://dx.doi.org/10.1142/9789813145603_0162.

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Gucunski, Nenad, and Ali Maher. "Pavement Dynamic Response by Stiffness Matrix Approach." In 15th Engineering Mechanics Division Conference. American Society of Civil Engineers, 2003. http://dx.doi.org/10.1061/40709(257)12.

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Rensburg, G. J. Jansen van, S. Kok, and D. N. Wilke. "MATERIAL PARAMETER IDENTIFICATION ON METAL MATRIX COMPOSITES." In 10th World Congress on Computational Mechanics. Editora Edgard Blücher, 2014. http://dx.doi.org/10.5151/meceng-wccm2012-18234.

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Shin, J. W., and D. J. Mooney. "Myeloid leukemia subtype-dependent sensitivity to matrix mechanics." In 2014 40th Annual Northeast Bioengineering Conference (NEBEC). IEEE, 2014. http://dx.doi.org/10.1109/nebec.2014.6972939.

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He, Bin, and Jin Long. "Differential Quadrature Discrete Time Transfer Matrix Method for Vibration Mechanics." In ASME 2018 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/detc2018-85354.

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Transfer matrix method is a practical technology for vibration analysis of engineering mechanics. In this paper, Differential Quadrature Discrete Time–Transfer Matrix Method (DQ-DT-TMM) is presented for solving vibration mechanics. Firstly ordinary differential equations of the sub-structure or the element of the mechanical system are determined by classical mechanics rule and transformed as a set of algebraic equations at some discrete time points by the application of differential quadrature method. Then by extending the state vector of transfer matrix method, new transfer equations and tran
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Fee, Timothy J., and Joel L. Berry. "Mechanics of Electrospun Polycaprolactone Nanofibers." In ASME 2012 Summer Bioengineering Conference. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/sbc2012-80297.

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Electrospun biomaterials are gaining popularity as scaffolding for engineered tissues. This fibrous scaffolding of natural or synthetic polymers can mimic properties of the natural extra-cellular matrix. Moreover, undifferentiated cells seeded onto and within an electrospun matrix may be directed to differentiate into a desired tissue type through the application of the appropriate biochemical and mechanical conditions. It is becoming clear that the mechanical deformation of any electrospun matrix plays an important role in cell signaling. However, electrospun biomaterials have inherently comp
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Ni, Qing-Qing, Ken Kurashiki, and Masaharu Iwamoto. "New approach to evaluation of fiber/matrix interface." In Second International Conference on Experimental Mechanics, edited by Fook S. Chau and Chenggen Quan. SPIE, 2001. http://dx.doi.org/10.1117/12.429585.

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Pedreiro, Marcelo R. de Matos, Rogério de O. Rodrigues, Maicon Marino Albertini, and Jefferson S. Camacho. "EXPLICIT STIFFNESS MATRIX FOR PARABOLIC PRISMATIC TRIANGULAR ELEMENT." In 10th World Congress on Computational Mechanics. Editora Edgard Blücher, 2014. http://dx.doi.org/10.5151/meceng-wccm2012-20360.

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Pandey, R., T. Sohail, A. I. Ajibona, and S. Saurabh. "Molecular Dynamics Insights into Bioconversion Induced Matrix Strain." In 57th U.S. Rock Mechanics/Geomechanics Symposium. ARMA, 2023. http://dx.doi.org/10.56952/arma-2023-0785.

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ABSTRACT The total annual US consumption of natural gas is expected to surpass 40 trillion cubic feet in the coming years. Microbially enhanced coalbed methane (MECBM) aims to replicate naturally occurring microbial pathways to generate methane from in-situ coal. In a basic gamut of lab-characterization experiments investigating properties of coal as a reservoir, it was revealed microbial treatment of coal results in swelling of the coal matrix. Bio-strains in the matrix result in changes in connected porosity, and its stress-state which governs the flow behavior throughout the life of the pro
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"Micro-fields of short fibre in matrix and macro-dynamic response of fibre composites." In Engineering Mechanics 2018. Institute of Theoretical and Applied Mechanics of the Czech Academy of Sciences, 2018. http://dx.doi.org/10.21495/91-8-565.

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Reports on the topic "Matrix mechanics"

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Gibala, Ronald, Amit K. Ghosh, David J. Srolovitz, John W. Holmes, and Noboru Kikuchi. The Mechanics and Mechanical Behavior of High-Temperature Intermetallic Matrix Composites. Defense Technical Information Center, 2000. http://dx.doi.org/10.21236/ada382602.

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He, M. Y., and F. W. Zok. On the Mechanics of Microballoon-Reinforced Metal Matrix Composites. Defense Technical Information Center, 1994. http://dx.doi.org/10.21236/ada277928.

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Lara-Curzio, E. The Mechanics of Creep Deformation in Polymer Derived Continuous Fiber-Reinforced Ceramic Matrix Composites. Office of Scientific and Technical Information (OSTI), 2001. http://dx.doi.org/10.2172/777651.

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Osborne, D., and H. Ghonem. Experimental and Computational Study of Interphase Properties and Mechanics in Titanium Metal Matrix Composites at Elevated Temperatures. Defense Technical Information Center, 2005. http://dx.doi.org/10.21236/ada438848.

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Ragalwar, Ketan, William Heard, Brett Williams, Dhanendra Kumar, and Ravi Ranade. On enhancing the mechanical behavior of ultra-high performance concrete through multi-scale fiber reinforcement. Engineer Research and Development Center (U.S.), 2021. http://dx.doi.org/10.21079/11681/41940.

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Steel fibers are typically used in ultra-high performance concretes (UHPC) to impart flexural ductility and increase fracture toughness. However, the mechanical properties of the steel fibers are underutilized in UHPC, as evidenced by the fact that most of the steel fibers pull out of a UHPC matrix largely undamaged during tensile or flexural tests. This research aims to improve the bond between steel fibers and a UHPC matrix by using steel wool. The underlying mechanism for fiber-matrix bond improvement is the reinforcement of the matrix tunnel, surrounding the steel fibers, by steel wool. Si
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Earthman, James C., and Enrique J. Lavernia. Fatigue Mechanisms in Metallic Matrix Composites. Defense Technical Information Center, 1996. http://dx.doi.org/10.21236/ada319912.

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Freiman, S. W., D. C. Cranmer, E. R. Jr Fuller, et al. Mechanical property enhancement in ceramic matrix composites. National Institute of Standards and Technology, 1989. http://dx.doi.org/10.6028/nist.ir.89-4073.

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Freiman, S. W., T. W. Coyle, E. R. Fuller, P. L. Swanson, D. C. Cranmer, and W. Haller. Mechanical property enhancement in ceramic matrix composites. National Bureau of Standards, 1988. http://dx.doi.org/10.6028/nbs.ir.88-3798.

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Fata, Jimmie E. Mechanisms of Matrix Metalloproteinase-Mediated p53 Regulation. Defense Technical Information Center, 2006. http://dx.doi.org/10.21236/ada460754.

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Maltby, J. D. Mechanical Properties of Centrifugally Cast Metal Matrix Composites. Defense Technical Information Center, 1992. http://dx.doi.org/10.21236/ada254321.

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