Bose-Einstein Condensation
... The classical description of a particle is an object whose dynamics can be entirely described through its position and speed, which was the only description before 1905. However, post 1905 it was discovered that a particle’s speed and position could not be a definite quantity, and was instead descri ...
... The classical description of a particle is an object whose dynamics can be entirely described through its position and speed, which was the only description before 1905. However, post 1905 it was discovered that a particle’s speed and position could not be a definite quantity, and was instead descri ...
Multipartite entanglement, quantum- error
... a key ingredient in many areas of quantum information theory including quantum key distribution [4], superdense coding [5] and teleportation [6]. However the general problem of how to quantify [1] the level of entanglement in an arbitrary multipartite system remains unresolved. There has been some p ...
... a key ingredient in many areas of quantum information theory including quantum key distribution [4], superdense coding [5] and teleportation [6]. However the general problem of how to quantify [1] the level of entanglement in an arbitrary multipartite system remains unresolved. There has been some p ...
Complexity Science, Living Systems, and Reflexing Interfaces:
... (1982, 1983) reported that electromagnetic energy penetrating into cytoplasm would self-focus inside filaments whose diameter depend on symmetry breaking (Bose condensation) of ordered water dipoles. The diameter calculated was exactly the inner diameter of MTs (15 nm). In any case, all phenomena oc ...
... (1982, 1983) reported that electromagnetic energy penetrating into cytoplasm would self-focus inside filaments whose diameter depend on symmetry breaking (Bose condensation) of ordered water dipoles. The diameter calculated was exactly the inner diameter of MTs (15 nm). In any case, all phenomena oc ...
Popper`s Paradoxical Pursuit of Natural Philosophy
... formulatable, empirically more successful, but disunified rivals. (All physical theories are ostensibly refuted by some empirical phenomena; disunified rivals can easily be concocted to give the correct predictions for these recalcitrant phenomena. In addition, independently testable and corroborate ...
... formulatable, empirically more successful, but disunified rivals. (All physical theories are ostensibly refuted by some empirical phenomena; disunified rivals can easily be concocted to give the correct predictions for these recalcitrant phenomena. In addition, independently testable and corroborate ...
Perturbation Theory and Atomic Resonances Since Schrödinger`s
... as continued analytically across a branch cut on the real energy axis was introduced by Schwinger in [155]. Although quite plausible, the connection between resonances defined as poles of a continued resolvent and those defined as poles in the scattering amplitude or zeroes in the Jost function was ...
... as continued analytically across a branch cut on the real energy axis was introduced by Schwinger in [155]. Although quite plausible, the connection between resonances defined as poles of a continued resolvent and those defined as poles in the scattering amplitude or zeroes in the Jost function was ...
1 Topic 3: Applications of Lagrangian Mechanics
... Now we can solve these (in principle) for (t) ; z (t) ; (t) ; . We know how to interpret the rst three, but does tell us anything interesting about the physics? The physical signi cance is that it is related to a generalized force that maintains the constraint. A bit of geometry can be used ...
... Now we can solve these (in principle) for (t) ; z (t) ; (t) ; . We know how to interpret the rst three, but does tell us anything interesting about the physics? The physical signi cance is that it is related to a generalized force that maintains the constraint. A bit of geometry can be used ...
Quantum theory of ion-atom interactions
... [15, 51, 107]. Excluding scaling, ultracold atomic systems behave the same with their only differences being characterized by a few parameters such as the scattering length. At a more fundamental level, such universal behaviors have their origin in the universal ultracold two-body interaction as des ...
... [15, 51, 107]. Excluding scaling, ultracold atomic systems behave the same with their only differences being characterized by a few parameters such as the scattering length. At a more fundamental level, such universal behaviors have their origin in the universal ultracold two-body interaction as des ...
Coherent Decay of Bose-Einstein Condensates
... As the coldest form of matter known to exist, atomic Bose-Einstein condensates are unique forms of matter where the constituent atoms lose their individual identities, becoming absorbed into the cloud as a whole. Effectively, these gases become a single macroscopic object that inherits its propertie ...
... As the coldest form of matter known to exist, atomic Bose-Einstein condensates are unique forms of matter where the constituent atoms lose their individual identities, becoming absorbed into the cloud as a whole. Effectively, these gases become a single macroscopic object that inherits its propertie ...
Bohr`s Theory of the Atom: Content, Closure and - Philsci
... question ‘Was Bohr’s theory inconsistent?’ I begin in §2 by introducing the theory and the consistency debate. I present three different foci of inconsistency which have been proposed, and provide reasons to doubt each claim. In §3 I turn to the ‘closure’ of the theory, by examining the connection b ...
... question ‘Was Bohr’s theory inconsistent?’ I begin in §2 by introducing the theory and the consistency debate. I present three different foci of inconsistency which have been proposed, and provide reasons to doubt each claim. In §3 I turn to the ‘closure’ of the theory, by examining the connection b ...
Pacing Guide for Physics
... stopper is tied to a string that is fed through a PVC tube. The stopper is twirled with a weight hanging off the other end of the string. The stopper is rotated at such a rate that the string does not move up or down in the tube. From known weight, radius of twirled string, and speed of rotation, th ...
... stopper is tied to a string that is fed through a PVC tube. The stopper is twirled with a weight hanging off the other end of the string. The stopper is rotated at such a rate that the string does not move up or down in the tube. From known weight, radius of twirled string, and speed of rotation, th ...
Particle Physics Matter, Energy, Space, Time
... with Dark Energy • A naïve estimate of the cosmological constant in Quantum Field Theory: rL~MPl4~10120 times observation The worst prediction in theoretical physics! • People had argued that there must be some mechanism to set it zero • But now it seems finite??? UCB Colloquium ...
... with Dark Energy • A naïve estimate of the cosmological constant in Quantum Field Theory: rL~MPl4~10120 times observation The worst prediction in theoretical physics! • People had argued that there must be some mechanism to set it zero • But now it seems finite??? UCB Colloquium ...
The Ontology of Bohmian Mechanics
... the ontology of a guiding field. One possibility consists in deleting the commitment to configuration space as being part and parcel of the physical ontology and in placing the wave-function in physical space, although it cannot be an ordinary field or wave. Forrest ([1988], Chapter 6.2) contemplate ...
... the ontology of a guiding field. One possibility consists in deleting the commitment to configuration space as being part and parcel of the physical ontology and in placing the wave-function in physical space, although it cannot be an ordinary field or wave. Forrest ([1988], Chapter 6.2) contemplate ...
Effects of thermal and quantum fluctuations on the phase diagram of
... longitudinal magnetization, the linear Zeeman term vanishes, and, therefore, we have p = 0, q 6= 0 in Eq. (1). The s-wave scattering lengths of the 87 Rb atom in the F = 1 hyperfine manifold are calculated to be a0 = 101.8 aB and a2 = 100.4 aB [33], where aB is the Bohr radius. Consequently, c1 give ...
... longitudinal magnetization, the linear Zeeman term vanishes, and, therefore, we have p = 0, q 6= 0 in Eq. (1). The s-wave scattering lengths of the 87 Rb atom in the F = 1 hyperfine manifold are calculated to be a0 = 101.8 aB and a2 = 100.4 aB [33], where aB is the Bohr radius. Consequently, c1 give ...
Aalborg Universitet The effect of time-dependent coupling on non-equilibrium steady states
... investigate non-stationary electronic transport in noninteracting nanostructures driven by a finite bias and time-dependent signals applied at their contacts to the leads, while they allow the carriers to self-interact inside the quantum well (see for example [24], [25] and references therein). An i ...
... investigate non-stationary electronic transport in noninteracting nanostructures driven by a finite bias and time-dependent signals applied at their contacts to the leads, while they allow the carriers to self-interact inside the quantum well (see for example [24], [25] and references therein). An i ...
Chapter 1 Introduction and first
... Here the object is to find a solution function u (s, t) depending on the two independent variables s and t. It therefore involves partial derivatives, whereas an ordinary differential equation involves only ordinary derivatives. We will not investigate partial differential equations in any depth in ...
... Here the object is to find a solution function u (s, t) depending on the two independent variables s and t. It therefore involves partial derivatives, whereas an ordinary differential equation involves only ordinary derivatives. We will not investigate partial differential equations in any depth in ...
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.