Metric and curvature in gravitational phase space
... process of symmetrization, whereby all the terms associated with skew-symmetric directions on the manifold are eliminated. We thus show that the scalar curvature of gravitational phase space is R = − 12 n(n + 1)2 λ−1 . ...
... process of symmetrization, whereby all the terms associated with skew-symmetric directions on the manifold are eliminated. We thus show that the scalar curvature of gravitational phase space is R = − 12 n(n + 1)2 λ−1 . ...
A VIEW OF MATHEMATICS Alain CONNES Mathematics is the
... axioms and one has to add it to the above four axioms. The Desarguian geometries of dimension n are exactly the projective spaces Pn (K) of a (not necessarily commutative) field K. They are in this way in perfect duality with the key concept of algebra: that of field. What is a field ? It is a set o ...
... axioms and one has to add it to the above four axioms. The Desarguian geometries of dimension n are exactly the projective spaces Pn (K) of a (not necessarily commutative) field K. They are in this way in perfect duality with the key concept of algebra: that of field. What is a field ? It is a set o ...
Highligh in Physics 2005
... Decoherence, that is the loss of coherence between the states of a quantum system induced by the environment, is an intriguing subject both for basic investigations on the elusive boundary between the quantum and the classical worlds, and for applications in quantum information and computation. We s ...
... Decoherence, that is the loss of coherence between the states of a quantum system induced by the environment, is an intriguing subject both for basic investigations on the elusive boundary between the quantum and the classical worlds, and for applications in quantum information and computation. We s ...
Duncan-Dunne-LINCS-2016-Interacting
... show that some assumptions used in earlier work are unnecessary. In the quantum context, the key insight is that an observable of some quantum system corresponds to a Frobenius algebra on its state space [15]. Further, the state spaces have non-trivial endomorphims giving their internal dynamics; am ...
... show that some assumptions used in earlier work are unnecessary. In the quantum context, the key insight is that an observable of some quantum system corresponds to a Frobenius algebra on its state space [15]. Further, the state spaces have non-trivial endomorphims giving their internal dynamics; am ...
physical principles of advanced space propulsion based on heims`s
... three articles in 1959, in an obscure German journal on spaceflight. Heim's view is similar to Wheeler's geometrodynamics [16]. However, it seems that the first one who published this idea was Rainich in 1925 [17]. Heim claims to have developed a truly universal unified field theory along the lines ...
... three articles in 1959, in an obscure German journal on spaceflight. Heim's view is similar to Wheeler's geometrodynamics [16]. However, it seems that the first one who published this idea was Rainich in 1925 [17]. Heim claims to have developed a truly universal unified field theory along the lines ...
Fixed points of quantum operations
... is faithful if ω(A∗ A) = 0 implies A = 0. In the sequel we shall need the following theorem of M.-D. Choi [4]. Theorem 2.1. Suppose that φ is a completely contractive and completely positive map from a unital C ∗ -algebra C into B(H). Then φ(C)∗ φ(C) ≤ φ(C ∗ C) for every C ∈ C. Moreover, if φ(C)∗ φ( ...
... is faithful if ω(A∗ A) = 0 implies A = 0. In the sequel we shall need the following theorem of M.-D. Choi [4]. Theorem 2.1. Suppose that φ is a completely contractive and completely positive map from a unital C ∗ -algebra C into B(H). Then φ(C)∗ φ(C) ≤ φ(C ∗ C) for every C ∈ C. Moreover, if φ(C)∗ φ( ...
ppt - Harvard Condensed Matter Theory group
... the kinetic energy, perturbation theory breaks down. Many surprising new phenomena occur, including unconventional superconductivity, magnetism, fractionalization of excitations ...
... the kinetic energy, perturbation theory breaks down. Many surprising new phenomena occur, including unconventional superconductivity, magnetism, fractionalization of excitations ...
Kinetic-molecular theory of gases
... Kinetic‐molecular theory of gases In terms of the average molar kinetic energy, Ek,avg = M u2/2 , Boston University Slideshow Title Goes Here the total pressure is P = 2/3 n Ek,avg/V But from the ideal gas law P = n R T/V Combining these two expressions, we find that T is a measure of the average ...
... Kinetic‐molecular theory of gases In terms of the average molar kinetic energy, Ek,avg = M u2/2 , Boston University Slideshow Title Goes Here the total pressure is P = 2/3 n Ek,avg/V But from the ideal gas law P = n R T/V Combining these two expressions, we find that T is a measure of the average ...
Third Quarter 2011 (Volume 6, Number 2)
... evolve to more “generic” configurations? If it didn’t, those configurations wouldn’t be generic! So the real question is not why the entropy is increasing, but why it was ever low to begin with. In other words, why did the universe’s initial state at the big bang contain so much order for the univer ...
... evolve to more “generic” configurations? If it didn’t, those configurations wouldn’t be generic! So the real question is not why the entropy is increasing, but why it was ever low to begin with. In other words, why did the universe’s initial state at the big bang contain so much order for the univer ...
Lecture 4
... ■ Evidence for neutrino oscillation implies lepton number violation. ★ Theories with local gauge invariance can be renormalizable ☞ can use perturbation theory to calculate decay rates, cross sections etc. ● Strong, weak and EM theories are described by local gauge theories. ★ U(1) local gauge ...
... ■ Evidence for neutrino oscillation implies lepton number violation. ★ Theories with local gauge invariance can be renormalizable ☞ can use perturbation theory to calculate decay rates, cross sections etc. ● Strong, weak and EM theories are described by local gauge theories. ★ U(1) local gauge ...
Coherence versus decoherence – a few illustrative examples
... is the coupling constant and ω k is the ‘free’ phononic frequency. The physics of the spin-boson Hamiltonian can be summarized thus: because ˆ z is off-diagonal in the representation in which ˆ x is diagonal, the second term in eq. (10) would cause transitions between the eigenstates of ˆ x . The ...
... is the coupling constant and ω k is the ‘free’ phononic frequency. The physics of the spin-boson Hamiltonian can be summarized thus: because ˆ z is off-diagonal in the representation in which ˆ x is diagonal, the second term in eq. (10) would cause transitions between the eigenstates of ˆ x . The ...
Physical and Mathematical Sciences 2016, № 3, p. 37–41 Physics
... 1. Introduction. Much of early interest to anti-de Sitter (AdS) spacetime was motivated by the questions of principle nature related to the quantization of fields propagating on curved backgrounds. The appearance of AdS/CFT correspondence and braneworld models of Randall–Sundrum type has revived int ...
... 1. Introduction. Much of early interest to anti-de Sitter (AdS) spacetime was motivated by the questions of principle nature related to the quantization of fields propagating on curved backgrounds. The appearance of AdS/CFT correspondence and braneworld models of Randall–Sundrum type has revived int ...
PPT - Louisiana State University
... Suppose we have an ensemble of N states | = (|0 + ei |1)/2, and we measure the following observable: A = |0 1| + |1 0| ...
... Suppose we have an ensemble of N states | = (|0 + ei |1)/2, and we measure the following observable: A = |0 1| + |1 0| ...
2010 NORTH AMERICAN ANNUAL MEETING OF THE
... unilluminating ways.” But few people have actually tried to provide logics for sentences close to “the way they come,” and so I will be able to review much of what has been done. One leading idea is that the target logics for translations should have a decidable validity problem, ruling out full fir ...
... unilluminating ways.” But few people have actually tried to provide logics for sentences close to “the way they come,” and so I will be able to review much of what has been done. One leading idea is that the target logics for translations should have a decidable validity problem, ruling out full fir ...
