Generalization of Hamiltonian mechanics involving multiple Hamiltonians
In mathematics, Nambu mechanics is a generalization of Hamiltonian mechanics involving multiple Hamiltonians. Recall that Hamiltonian mechanics is based upon the flows generated by a smooth Hamiltonian over a symplectic manifold. The flows are symplectomorphisms and hence obey Liouville's theorem. This was soon generalized to flows generated by a Hamiltonian over a Poisson manifold. In 1973, Yoichiro Nambu suggested a generalization involving Nambu–Poisson manifolds with more than one Hamiltonian.[1]
mathematics, Nambumechanics is a generalization of Hamiltonian mechanics involving multiple Hamiltonians. Recall that Hamiltonian mechanics is based upon...
Yoichiro Nambu (南部 陽一郎, Nanbu Yōichirō, 18 January 1921 – 5 July 2015) was a Japanese-American physicist and professor at the University of Chicago. Known...
(quantum mechanics) Quantum Hamilton's equations Quantum field theory Hamiltonian optics De Donder–Weyl theory Geometric mechanics Routhian mechanicsNambu mechanics...
Quantum mechanics is a fundamental theory in physics that describes the behavior of nature at and below the scale of atoms.: 1.1 It is the foundation...
formulation of fluid dynamics can be introduced through the use of Nambumechanics Luke's variational principle Hamiltonian field theory Nevir & Blender...
quantum mechanics describe features of spacetime and particles which are unchanged under some transformation, in the context of quantum mechanics, relativistic...
of the theory breaks the symmetry, implying the existence of a massless Nambu–Goldstone boson, the mode running around the circle at the minimum of this...
formulation is a description in quantum mechanics that generalizes the stationary action principle of classical mechanics. It replaces the classical notion...
distributions into a new field of thermodynamics, called statistical mechanics, and found the link between the microscopic interactions, which fluctuate...
Quantum statistical mechanics is statistical mechanics applied to quantum mechanical systems. In quantum mechanics a statistical ensemble (probability...
1142/9789812798336_0016. Takhtajan, Leon (1994). "On foundation of the generalized Nambumechanics". Communications in Mathematical Physics. 160 (2): 295–315. arXiv:hep-th/9301111...
by Murray Gell-Mann and George Zweig in 1964, Moo-Young Han and Yoichiro Nambu introduced a hidden internal degree of freedom in which quark wave functions...
the same electron" with a complex, self-intersecting world line. Yoichiro Nambu later applied it to all production and annihilation of particle-antiparticle...
The timeline of quantum mechanics is a list of key events in the history of quantum mechanics, quantum field theories and quantum chemistry. 1801 – Thomas...
forces that affect it); mechanics may also be divided into solid mechanics and fluid mechanics (known together as continuum mechanics), the latter include...
Historically, this was not quite Werner Heisenberg's route to obtaining quantum mechanics, but Paul Dirac introduced it in his 1926 doctoral thesis, the "method...
masses related to spins in a way that was later understood by Yoichiro Nambu, Holger Bech Nielsen and Leonard Susskind to be the relationship expected...
gluons of QCD were Moo-Young Han and Yoichiro Nambu, who introduced the quark color charge. Han and Nambu hypothesized that it might be associated with...
the same electron" with a complex, self-intersecting worldline. Yoichiro Nambu later applied it to all production and annihilation of particle-antiparticle...
the quarks, and making pseudoscalar mesons exceptionally light. Yoichiro Nambu was awarded the 2008 Nobel Prize in Physics for elucidating the phenomenon...
vacuum, it is "by no means a simple empty space". According to quantum mechanics, the vacuum state is not truly empty but instead contains fleeting electromagnetic...
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