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... on X has enough injectives. So we can define the sheaf cohomology H i (X, F) of a sheaf F to be the right derived functors of the global sections functor F → Γ(X, F). Usually we are interested in the case where X is a scheme, and F is a coherent sheaf. In this case, it does not matter if we take the ...
... on X has enough injectives. So we can define the sheaf cohomology H i (X, F) of a sheaf F to be the right derived functors of the global sections functor F → Γ(X, F). Usually we are interested in the case where X is a scheme, and F is a coherent sheaf. In this case, it does not matter if we take the ...
Is Quantum Chemistry a Degenerating Research Programme?
... ‘classical’ chemistry. While one could think that quantum chemistry is in some sense a competitor for classical chemistry my argument will not be that quantum chemistry is progressive in precisely this sense. Rather, I will argue that the relationship between quantum chemistry and classical chemistr ...
... ‘classical’ chemistry. While one could think that quantum chemistry is in some sense a competitor for classical chemistry my argument will not be that quantum chemistry is progressive in precisely this sense. Rather, I will argue that the relationship between quantum chemistry and classical chemistr ...
Disorder(Strength(δ2( Energy( Density( Ext,(( Para( ( MBL( Para
... Hamiltonian. We emphasize that unlike standard discussions of quantum phase transitions, our discussion is not about ground states or low-lying excited states, but is about highly-excited eigenstates at energies that would correspond to nonzero (even infinite) temperature if the system could thermal ...
... Hamiltonian. We emphasize that unlike standard discussions of quantum phase transitions, our discussion is not about ground states or low-lying excited states, but is about highly-excited eigenstates at energies that would correspond to nonzero (even infinite) temperature if the system could thermal ...
Quantum Chaos
... If phase space is finite, exponential stretching cannot last for ever folding ...
... If phase space is finite, exponential stretching cannot last for ever folding ...
NP-complete Problems and Physical Reality
... My immediate reaction was that the paper was a parody. However, a visit to Bringsjord’s home page2 suggested that it was not. Impelled, perhaps, by the same sort of curiosity that causes people to watch reality TV shows, I checked the discussion of this paper on the comp.theory newsgroup to see if ...
... My immediate reaction was that the paper was a parody. However, a visit to Bringsjord’s home page2 suggested that it was not. Impelled, perhaps, by the same sort of curiosity that causes people to watch reality TV shows, I checked the discussion of this paper on the comp.theory newsgroup to see if ...
Quantum Computers Can Search Rapidly by Using Almost
... was that for the top quark [11]. The framework of this paper could equally well be used there. All that is needed is a means to repeatedly apply a specified Hamiltonian that produces various phase inversions and state transitions. For example, it took about 1012 repetitions of a certain experiment, ...
... was that for the top quark [11]. The framework of this paper could equally well be used there. All that is needed is a means to repeatedly apply a specified Hamiltonian that produces various phase inversions and state transitions. For example, it took about 1012 repetitions of a certain experiment, ...
The Standard Model of Particle Physics: An - LAPTh
... a mexican hat, illustrates spontaneous symmetry breaking. The symmetric configuration at the top of the hat is unstable. The system will pick up any stable configuration along the brim with < 0|φ|0 >6= 0. The Goldstone mode therefore represents this azimuthal direction whereas the radial component i ...
... a mexican hat, illustrates spontaneous symmetry breaking. The symmetric configuration at the top of the hat is unstable. The system will pick up any stable configuration along the brim with < 0|φ|0 >6= 0. The Goldstone mode therefore represents this azimuthal direction whereas the radial component i ...
Philosophy of Mind and the Problem of Free Will
... convincing case (p.11) that we must, in order to function rationally in this world, believe that we are sometimes free to choose our actions. To deny this would create a self-contradiction. But without resolving the problem of free will, philosophy loses its rational coherence, and men will turn to ...
... convincing case (p.11) that we must, in order to function rationally in this world, believe that we are sometimes free to choose our actions. To deny this would create a self-contradiction. But without resolving the problem of free will, philosophy loses its rational coherence, and men will turn to ...
Quantum Gravity on $ dS_ {3} $
... attempts to describe this entropy - for example, in terms of microscopic degrees of freedom at the cosmological horizon [2, 3] or in a Chern-Simons formulation [4, 5]. In fact, in [5], the entropy of a general Kerr-de Sitter space is computed. More recently, de Sitter entropy has been computed using ...
... attempts to describe this entropy - for example, in terms of microscopic degrees of freedom at the cosmological horizon [2, 3] or in a Chern-Simons formulation [4, 5]. In fact, in [5], the entropy of a general Kerr-de Sitter space is computed. More recently, de Sitter entropy has been computed using ...
An Introduction to Quantum Cosmology
... The concept of a quantum wave function of the universe may initially seem a paradox. One tends to think of quantum systems as ‘small’ systems, such as the atom. However, if the force(s) that govern the universe are fundamentally quantum mechanical then the universe must be a quantum mechanical syst ...
... The concept of a quantum wave function of the universe may initially seem a paradox. One tends to think of quantum systems as ‘small’ systems, such as the atom. However, if the force(s) that govern the universe are fundamentally quantum mechanical then the universe must be a quantum mechanical syst ...
Chapter Four - Seeking Wisdom
... interactions, assumes that change is continuous --i.e. that space and time are infinitely divisible and that objects can move (and energy thus be transferred) in arbitrarily small quantities. Because light moves at a finite speed and nothing moves faster, relativity forbids instantaneous signaling, ...
... interactions, assumes that change is continuous --i.e. that space and time are infinitely divisible and that objects can move (and energy thus be transferred) in arbitrarily small quantities. Because light moves at a finite speed and nothing moves faster, relativity forbids instantaneous signaling, ...
QB abstracts compiled 160613
... defining feature of equiangularity. So far we have not been able to use this additional structure to prove existence. However, it is, in its own right, extremely interesting, and it is the subject of this talk. The structure is number theoretic in character. It turns out that SICs, in every case tha ...
... defining feature of equiangularity. So far we have not been able to use this additional structure to prove existence. However, it is, in its own right, extremely interesting, and it is the subject of this talk. The structure is number theoretic in character. It turns out that SICs, in every case tha ...
Logic, Proof, Axiom Systems
... 5. That, if a straight line falling on two straight lines make the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which are the angles less than two right angles. (Euclid’s Parallel Postulate) ...
... 5. That, if a straight line falling on two straight lines make the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which are the angles less than two right angles. (Euclid’s Parallel Postulate) ...
Negative Quasi-Probability, Contextuality, Quantum Magic and the
... This DWF has nice group-covariant properties relevant to quantum computation This DWF is well-defined only for odd-prime dimensional quantum systems: qudits (for d 6= 2) or qupits ( for p 6= 2) . . . maybe “quopits”? as only even prime, 2 is the oddest prime of them all! ...
... This DWF has nice group-covariant properties relevant to quantum computation This DWF is well-defined only for odd-prime dimensional quantum systems: qudits (for d 6= 2) or qupits ( for p 6= 2) . . . maybe “quopits”? as only even prime, 2 is the oddest prime of them all! ...
THE WITT CONSTRUCTION IN CHARACTERISTIC ONE AND
... S(ϕ) − ⟨J, ϕ⟩ S(ϕ) Z(J) = exp(− )D[ϕ] exp(− ) D[ϕ] . ...
... S(ϕ) − ⟨J, ϕ⟩ S(ϕ) Z(J) = exp(− )D[ϕ] exp(− ) D[ϕ] . ...