Shannon entropy as a measure of uncertainty in positions and
... This paper is organized as follows. In a further part of the present section, I point out some aspects related to entropic uncertainty relations, following the rephrased Heisenberg sentence [8]: “The more information we have about the position, the less information we can acquire about the momentum ...
... This paper is organized as follows. In a further part of the present section, I point out some aspects related to entropic uncertainty relations, following the rephrased Heisenberg sentence [8]: “The more information we have about the position, the less information we can acquire about the momentum ...
Full text in PDF form
... of the process, both the system and the local surroundings may be restored to their initial states without producing any change in the rest of the universe. ...
... of the process, both the system and the local surroundings may be restored to their initial states without producing any change in the rest of the universe. ...
On the Formulation of Quant`um Mechanics associated with
... classical trajectories flowing out from a fixed space-time point with any velocity which is shown in a direct manner to correspond to the transformation kernel of the wave function to infinitesimally later instant. This means the Huygens' principle, and thereby a connection between this formulation ...
... classical trajectories flowing out from a fixed space-time point with any velocity which is shown in a direct manner to correspond to the transformation kernel of the wave function to infinitesimally later instant. This means the Huygens' principle, and thereby a connection between this formulation ...
Polchinski
... Maldacena’s version of the information problem: In AdS/CFT it is natural to consider eternal (nonevaporating) black holes, which correspond to thermal equilibrium in the gauge theory. In bulk gravity theory: two-point ...
... Maldacena’s version of the information problem: In AdS/CFT it is natural to consider eternal (nonevaporating) black holes, which correspond to thermal equilibrium in the gauge theory. In bulk gravity theory: two-point ...
The Blind Men and the Quantum
... Moral: So oft in theologic wars, The disputants, I ween, Rail on in utter ignorance, Of what each other mean, And prate about an Elephant, Not one of them has seen! ...
... Moral: So oft in theologic wars, The disputants, I ween, Rail on in utter ignorance, Of what each other mean, And prate about an Elephant, Not one of them has seen! ...
Quantum Physical Symbol Systems
... decision theoretic model for the agent’s decision problem. According to the model, the agent’s optimal choice is to select the action for which the mathematical expectation of the utility is maximized (or for which the loss is minimized). When the agent acquires information about the world, probabil ...
... decision theoretic model for the agent’s decision problem. According to the model, the agent’s optimal choice is to select the action for which the mathematical expectation of the utility is maximized (or for which the loss is minimized). When the agent acquires information about the world, probabil ...
A Further Look at Waveguide Lasers
... reported in Section III, we abandon the nonsymmetrical point of view of the MB equations, where matter and e.m. field are present on different grounds, and assume the general point of view that matter and radiation are both quantum fields mutually interacting through the well-known and wellestablish ...
... reported in Section III, we abandon the nonsymmetrical point of view of the MB equations, where matter and e.m. field are present on different grounds, and assume the general point of view that matter and radiation are both quantum fields mutually interacting through the well-known and wellestablish ...
Eigenstates of a small Josephson junction coupled to a resonant... W. A. Al-Saidi and D. Stroud
... where the inner and outer set of triangular brackets denote, respectively, a quantum mechanical and a time average. As an illustration, we have calculated 具具 HJJ 典典 and 具具 Hphoton 典典 . For each operator, we carried out the calculation making the arbitrary assumption that the state of the system at t ...
... where the inner and outer set of triangular brackets denote, respectively, a quantum mechanical and a time average. As an illustration, we have calculated 具具 HJJ 典典 and 具具 Hphoton 典典 . For each operator, we carried out the calculation making the arbitrary assumption that the state of the system at t ...
Lecture Notes in Statistical Mechanics and Mesoscopics Doron Cohen
... In complete analogy we have: g (E0 + ) ≈ g (E0 ) eβ where β is the log derivative of the DOS. ...
... In complete analogy we have: g (E0 + ) ≈ g (E0 ) eβ where β is the log derivative of the DOS. ...
Theoretical Statistical Physics
... • How does a refrigerator work? • How does a supernova explode? • energy budget of the Earth's atmosphere • diffusion through a membrane in a plant • particle beam in a high energy collider Typical area of application: • systems with many degrees of freedom ↔ macroscopic objects For example a water d ...
... • How does a refrigerator work? • How does a supernova explode? • energy budget of the Earth's atmosphere • diffusion through a membrane in a plant • particle beam in a high energy collider Typical area of application: • systems with many degrees of freedom ↔ macroscopic objects For example a water d ...
QUANTUM PHYSICS AND PHILOSOPHY
... are true experiences that we all routinely have, as borne out by the practical success of the assumption that the objects of our experience directly correspond to objects in the external world. Physicists too invoke this assumption, called naïve realism, routinely by default, when they use ordinary ...
... are true experiences that we all routinely have, as borne out by the practical success of the assumption that the objects of our experience directly correspond to objects in the external world. Physicists too invoke this assumption, called naïve realism, routinely by default, when they use ordinary ...
quant-ph/0205032 PDF
... The proof goes through under the assumption that the distribution of the instrument variables pertaining to one station is independent of the setting of the other (if this assumption is not made, it is of course possible to reproduce the statistical predictions of quantum mechanics and thereby viola ...
... The proof goes through under the assumption that the distribution of the instrument variables pertaining to one station is independent of the setting of the other (if this assumption is not made, it is of course possible to reproduce the statistical predictions of quantum mechanics and thereby viola ...
Anti-Derivatives
... Find the function f x whose derivative is sin x and whose graph passes through 0, 2 . In other words, let’s do things backwards. We have f and we want to find f. ...
... Find the function f x whose derivative is sin x and whose graph passes through 0, 2 . In other words, let’s do things backwards. We have f and we want to find f. ...
Chapter #7 Giancoli 6th edition Problem Solutions
... unchanged. (and similarly for particle a). This is not possible physically so we reject this solution. 2nd solution is Vb= 3m/s and returning to Va = Vb-1 we get Va =2m/s. Since both Va and Vb are positive we know we guessed right as to their directions. The 1st solution means that after the collisi ...
... unchanged. (and similarly for particle a). This is not possible physically so we reject this solution. 2nd solution is Vb= 3m/s and returning to Va = Vb-1 we get Va =2m/s. Since both Va and Vb are positive we know we guessed right as to their directions. The 1st solution means that after the collisi ...
Renormalization group
In theoretical physics, the renormalization group (RG) refers to a mathematical apparatus that allows systematic investigation of the changes of a physical system as viewed at different distance scales. In particle physics, it reflects the changes in the underlying force laws (codified in a quantum field theory) as the energy scale at which physical processes occur varies, energy/momentum and resolution distance scales being effectively conjugate under the uncertainty principle (cf. Compton wavelength).A change in scale is called a ""scale transformation"". The renormalization group is intimately related to ""scale invariance"" and ""conformal invariance"", symmetries in which a system appears the same at all scales (so-called self-similarity). (However, note that scale transformations are included in conformal transformations, in general: the latter including additional symmetry generators associated with special conformal transformations.)As the scale varies, it is as if one is changing the magnifying power of a notional microscope viewing the system. In so-called renormalizable theories, the system at one scale will generally be seen to consist of self-similar copies of itself when viewed at a smaller scale, with different parameters describing the components of the system. The components, or fundamental variables, may relate to atoms, elementary particles, atomic spins, etc. The parameters of the theory typically describe the interactions of the components. These may be variable ""couplings"" which measure the strength of various forces, or mass parameters themselves. The components themselves may appear to be composed of more of the self-same components as one goes to shorter distances.For example, in quantum electrodynamics (QED), an electron appears to be composed of electrons, positrons (anti-electrons) and photons, as one views it at higher resolution, at very short distances. The electron at such short distances has a slightly different electric charge than does the ""dressed electron"" seen at large distances, and this change, or ""running,"" in the value of the electric charge is determined by the renormalization group equation.