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…st = Khakim D. | last = Ikramov | title = Hamiltonian square roots of skew-Hamiltonian matrices revisited | journal = Linear Algebra and its Applications | volume …| last1 = Meyer | first2 = G. R. | last2 = Hall | title = Introduction to Hamiltonian dynamical systems and the {{math|''N''}}-body problem | publisher = [[Sprin …

…}^*</math> is naturally identified with '''R'''，and the 动量映射 is simply the Hamiltonian function that generates the circle action. …s defined above，with 动量映射 <math>\mu : M\to \mathfrak{g}^*</math>. From the Hamiltonian condition it follows that <math>\mu^{-1}(0)</math> is invariant under ''G'' …

…k|last=Pauli|first=W.|title=Handbuch der Physik|chapter=Principles of Wave Mechanics|volume=24|publisher=Springer|location=Berlin|date=1933|page=162}}</ref>、[[H …–Feynman theorem requires that the wavefunction be an eigenfunction of the Hamiltonian under consideration; however, one can also prove more generally that the th …

…agnetization is always zero. Magnetism cannot be explained without quantum mechanics. However we list some classical approaches to it as they are easy to unders …niform external magnetic field <math> B </math> along the z-direction, the Hamiltonian of the atom changes by …

[[量子力學]]中，'''哈密頓算符'''（{{lang-en|'''Hamiltonian'''}}，缩写符号：{{lang|en|''H''}}或<math>\hat{H}</math>） 為一個[[可觀測量]]，對應於系統的[[總能量]] {{Quantum mechanics topics}} …

…ll|first4=D.J.}}</ref><ref>{{Cite journal|title=Optimization using quantum mechanics: quantum annealing through adiabatic evolution|last=Santoro|first=G.E.|last …元|量子比特]]的现实[[Lattice models|晶格模型]] ， <ref>{{Cite journal|title=Realizable Hamiltonians for Universal Adiabatic Quantum Computers|last=Biamonte|first=J.D.|last2=L …

…//hal.archives-ouvertes.fr/hal-00415933/document "Euler, Reader of Newton: Mechanics and Algebraic Analysis".] {{Wayback|url=https://hal.archives-ouvertes.fr/ha …first2=Jerrold E.| author2-link=Jerrold E. Marsden | title=Foundations of Mechanics| year=1978 | edition=2nd| publisher=Addison-Wesley}} …

…=Kirby>{{cite book | author=Kirby, B.J. | title=Micro- and Nanoscale Fluid Mechanics: Transport in Microfluidic Devices | url=http://www.kirbyresearch.com/textb This entropic force can be estimated by considering the entropic Hamiltonian: …

…<ref>H.Sazdjian, {Position Variables in Classical Relativistic Hamiltonian Mechanics}, Nucl.Phys. vol B161,469 (1979).</ref>但未有結論。 …

{{le|测地线作为哈密顿流|Geodesics as Hamiltonian flows|测地线的方程可以表述为一个哈密顿流}}。 * [[Ralph Abraham]] and [[Jerrold E. Marsden]], ''Foundations of Mechanics'', (1978) Benjamin-Cummings, London ISBN 0-8053-0102-X ''See section 3.2''. …

…egrability in Out of Equilibrium Systems' | journal=Journal of Statistical Mechanics: Theory and Experiment | publisher=IOP Publishing | volume=2016 | issue=6… …Arnold |first=V.I. |last=Arnold | title=Mathematical Methods of Classical Mechanics |edition=2nd | publisher=Springer | year=1997 | isbn=978-0-387-96890-2 | ur …

…ode479.html The Schrödinger-Pauli Hamiltonian] {{Wayback|url=http://quantummechanics.ucsd.edu/ph130a/130_notes/node479.html |date=20190503003609 }} {{Quantum mechanics topics}} …

…而玻色子的间距期望值减小（即吸引效应）。<ref>[[David J. Griffiths]]: ''Introduction to Quantum Mechanics'', Second Edition, pp. 207–210</ref>此外，交换作用最常见的效应是引发磁矩间的耦合，并导致[[铁磁性]]等宏观磁序。 …ite journal | last=Dirac | first=P. A. M. | title=On the Theory of Quantum Mechanics | journal=Proceedings of the Royal Society A: Mathematical, Physical and En …

…ok |first=Martin C. |last=Gutzwiller |title=Chaos in Classical and Quantum Mechanics |year=1990 |publisher=Springer-Verlag |location=New York |isbn=0-387-97173- …

…t=Cohn |title=Why symplectic geometry is the natural setting for classical mechanics |url=https://math.mit.edu/~cohn/Thoughts/symplectic.html |access-date=2023- …book |first=Maurice |last=de Gosson |title=Symplectic Geometry and Quantum Mechanics |year=2006 |publisher=Birkhäuser Verlag |location=Basel |isbn=3-7643-7574-4 …

…VGAQAAIAAJ|title=A deformable neuroanatomy textbook based on viscous fluid mechanics: Proceedings of the ... Conference on Information Sciences and Systems|last …|title=An overview of the Riemannian metrics on spaces of curves using the Hamiltonian approach|arxiv=math/0605009|journal=Applied and Computational Harmonic Anal …

…統，再應用理想化的量子系統的精確解，來解析複雜的量子系統。微扰理论从可以获得精确解或易于得到近似解的相对简单体系出发，在這簡單系統的[[哈密頓量]](Hamiltonian)裏，加上一個很弱的微擾，變成了較複雜系統的哈密頓量。假若這微擾不是很大，複雜系統的許多物理性質（例如，[[能級]]，[[量子態]]）可以表達為簡單系統 繼續延伸這程序，三階能量修正可以計算出來<ref>L. D. Landau, E. M. Lifschitz, ``Quantum Mechanics: Non-relativistic Theory"'', 3rd ed.</ref>： …

…ame=Dugas>{{Citation | last = Dugas | first = R. | title = A History Of Mechanics *{{link-en|哈密頓光學|Hamiltonian optics}}（Hamiltonian optics） …

…05-01 |title=Dynamics and statistical mechanics of a one-dimensional model Hamiltonian for structural phase transitions |url=https://link.aps.org/doi/10.1103/Phys …

*{{link-en|分子結構建模軟體列表|List of software for molecular mechanics modeling}} *{{link-en|分子哈密頓算符|Molecular Hamiltonian}} …