Derivation of new quantum hydrodynamic equations using entropy
... where we have used the notation hg(p)i = f (·, p)g(p)dp for functions g(p). In order to obtain macroscopic equations as well, a moment method is applied to (1.1): we multiply the equation by 1, p, and 21 |p|2 and integrate over momentum space. This yields evolution equations for n, nu and e. However ...
... where we have used the notation hg(p)i = f (·, p)g(p)dp for functions g(p). In order to obtain macroscopic equations as well, a moment method is applied to (1.1): we multiply the equation by 1, p, and 21 |p|2 and integrate over momentum space. This yields evolution equations for n, nu and e. However ...
104,18415 (2007)
... the literature. The proposed system is essentially a small continuous quantum Hall liquid and completely different from the large discrete Kitaev lattice system discussed here. As we will see, the origin and creation of anyonic excitations, the braiding operation, the detection of statistics, and ev ...
... the literature. The proposed system is essentially a small continuous quantum Hall liquid and completely different from the large discrete Kitaev lattice system discussed here. As we will see, the origin and creation of anyonic excitations, the braiding operation, the detection of statistics, and ev ...
Invitation to Local Quantum Physics
... The Bisognano-Wichmann Theorem The PCT theorem was used by J. Bisognano and E. Wichmann in 1976 to derive a structural result that is of fundamental importance for the application of Tomita-Takesaki modular theory in relativistic quantum field theory. Let W be a space-like wedge in space-time, i.e. ...
... The Bisognano-Wichmann Theorem The PCT theorem was used by J. Bisognano and E. Wichmann in 1976 to derive a structural result that is of fundamental importance for the application of Tomita-Takesaki modular theory in relativistic quantum field theory. Let W be a space-like wedge in space-time, i.e. ...
The hydrogen atom as an entangled electron–proton system
... there is just one nonvanishing probability and this distribution has a vanishing ‘‘width’’ or standard deviation. It is then reasonable to use the standard deviation as a measure of the correlation.10 Note that when the two subsystems are correlated, i.e., there is more than just one nonvanishing oc ...
... there is just one nonvanishing probability and this distribution has a vanishing ‘‘width’’ or standard deviation. It is then reasonable to use the standard deviation as a measure of the correlation.10 Note that when the two subsystems are correlated, i.e., there is more than just one nonvanishing oc ...
Laszlo and McTaggart
... Yet physicists are human too, and their emotional responses to the discoveries of physics are complex and often shape their life’s work, and its successes and failures. Stephen Hawking nicely brings this out in his book A Brief History of Time, showing how Kepler, Newton, and the Russian Marxist sci ...
... Yet physicists are human too, and their emotional responses to the discoveries of physics are complex and often shape their life’s work, and its successes and failures. Stephen Hawking nicely brings this out in his book A Brief History of Time, showing how Kepler, Newton, and the Russian Marxist sci ...
Earth-Moon Lagrangian points as a testbed for general relativity and
... gravitational field produced by the primaries. Since no closed-form solution is known for the full three-body problem, this generalization to the case of four bodies is rather difficult. A practicable possibility consists in assuming the motions of the three primaries and, without attempting to esta ...
... gravitational field produced by the primaries. Since no closed-form solution is known for the full three-body problem, this generalization to the case of four bodies is rather difficult. A practicable possibility consists in assuming the motions of the three primaries and, without attempting to esta ...
Do not mess with time: Probing faster than light travel and
... i.e. to the possibility for physical observers to move on close paths. Once this possibility is realised there is no obstruction for an observer to appear in the same space position even before it started its journey, i.e. to travel backward in time. Real time machines are fun and useful for the ent ...
... i.e. to the possibility for physical observers to move on close paths. Once this possibility is realised there is no obstruction for an observer to appear in the same space position even before it started its journey, i.e. to travel backward in time. Real time machines are fun and useful for the ent ...
Path Integrals in Quantum Field Theory
... from the canonical formulation of quantum mechanics, using, for example, the timedependent Schrödinger equation. However, if one defines the amplitude associated with a given trajectory as eiS , then it is possible to derive the Schrödinger equation2 . We can even “derive” the classical principle ...
... from the canonical formulation of quantum mechanics, using, for example, the timedependent Schrödinger equation. However, if one defines the amplitude associated with a given trajectory as eiS , then it is possible to derive the Schrödinger equation2 . We can even “derive” the classical principle ...
Generalized Entropies
... combination of Hmin and Hmax gives an expression for the classical capacity of a classical[29] or a quantum[30] channel, as well as its “reverse” capacity[31]. Additional applications can be found particularly in quantum cryptography (see, e.g., [8, 32, 33]). Smooth entropies also have operational i ...
... combination of Hmin and Hmax gives an expression for the classical capacity of a classical[29] or a quantum[30] channel, as well as its “reverse” capacity[31]. Additional applications can be found particularly in quantum cryptography (see, e.g., [8, 32, 33]). Smooth entropies also have operational i ...