From Wormholes to the Warp Drive: Using theoretical physics to
... case. Thus, by studying these exotic models of black hole interiors in greater detail, the “science fiction” aspects were actually ruled out when nature was examined more closely. For this reason, Thorne suggested that Sagan use a wormhole in his novel, rather than a black hole. A “wormhole” is, as ...
... case. Thus, by studying these exotic models of black hole interiors in greater detail, the “science fiction” aspects were actually ruled out when nature was examined more closely. For this reason, Thorne suggested that Sagan use a wormhole in his novel, rather than a black hole. A “wormhole” is, as ...
Glasgow2004
... CONJECTURE Whether or not there exists a set of d+1 MUBs in a d-dimensional Hilbert space if d not a power of a prime is intimately linked with the question of the existence of projective planes whose order is not a power of prime ...
... CONJECTURE Whether or not there exists a set of d+1 MUBs in a d-dimensional Hilbert space if d not a power of a prime is intimately linked with the question of the existence of projective planes whose order is not a power of prime ...
PHY 662 - Quantum Mechanics II Spring 2016 syllabus General information Class meetings
... Syracuse University’s Academic Integrity Policy holds students accountable for the integrity of the work they submit. Students should be familiar with the policy and know that it is their responsibility to learn about coursespecific expectations, as well as about university policy. The university po ...
... Syracuse University’s Academic Integrity Policy holds students accountable for the integrity of the work they submit. Students should be familiar with the policy and know that it is their responsibility to learn about coursespecific expectations, as well as about university policy. The university po ...
Questions
... The Coulomb potential in a hydrogen-like atom is modified at short distances because of the finite size of the nucleus. As a simple model, let us assume that the total charge Ze is distributed as a uniform sphere of radius rp. (a) Using elementary electrostatics, what is the potential V(r) seen by a ...
... The Coulomb potential in a hydrogen-like atom is modified at short distances because of the finite size of the nucleus. As a simple model, let us assume that the total charge Ze is distributed as a uniform sphere of radius rp. (a) Using elementary electrostatics, what is the potential V(r) seen by a ...
qp2
... electrons could only orbit at certain radii, only when there would be no ‘self’ interference and no associated energy loss. Thus, the De Broglie hypothesis also explained and further expanded on the Bohr’s model of the atom. Riddle of wave aspect of electrons and its unraveling by Schrödinger The ne ...
... electrons could only orbit at certain radii, only when there would be no ‘self’ interference and no associated energy loss. Thus, the De Broglie hypothesis also explained and further expanded on the Bohr’s model of the atom. Riddle of wave aspect of electrons and its unraveling by Schrödinger The ne ...
Assumed Knowledge and Skills
... The Stage 2 Physics subject outline assumes that students are familiar with the concepts listed below. These concepts are grouped under the section of the Subject Outline in which they are first needed. The Physics Investigation Skills section and the Content section of the subject outline indicate ...
... The Stage 2 Physics subject outline assumes that students are familiar with the concepts listed below. These concepts are grouped under the section of the Subject Outline in which they are first needed. The Physics Investigation Skills section and the Content section of the subject outline indicate ...
LAMB SHIFT & VACUUM POLARIZATION CORRECTIONS TO THE
... tion, Dirac devised a relativistic wave equation that is linear in both ∂/∂t and ∇, although he succeeded in avoiding the negative probability density, negative-energy solutions still occurred. That means that an atomic electron can have both negative and positive energies. But according to the qua ...
... tion, Dirac devised a relativistic wave equation that is linear in both ∂/∂t and ∇, although he succeeded in avoiding the negative probability density, negative-energy solutions still occurred. That means that an atomic electron can have both negative and positive energies. But according to the qua ...
PHYS 113: Quantum Mechanics Waves and Interference In much of
... equal probability) the electron to be “near” one of three spots. There are certain places (where the probability is 0, for example), where you’d never find it. One caveat: once you look at the electron or observe it in any way, you will totally change its wave-function. After all, you know where it ...
... equal probability) the electron to be “near” one of three spots. There are certain places (where the probability is 0, for example), where you’d never find it. One caveat: once you look at the electron or observe it in any way, you will totally change its wave-function. After all, you know where it ...
Particle Notes
... which is obviously invariant. Any equation where all of the factors are scalars (with no indices or contracting indices), or are four-vectors/tensors, with matching indices on the other side of the equal sign, is called “manifestly ...
... which is obviously invariant. Any equation where all of the factors are scalars (with no indices or contracting indices), or are four-vectors/tensors, with matching indices on the other side of the equal sign, is called “manifestly ...
The Quantum Spacetime 1 Opening 2 Classical spacetime dynamics
... We introduce a new length scale ls , where new massive particles appear, and a dimensionless interaction constant gs governing the quantum corrections. GN ∼ g 2 ls2 . These massive particles can be viewed as the oscillation modes of a string. There is a massless spin two particle, so we recover grav ...
... We introduce a new length scale ls , where new massive particles appear, and a dimensionless interaction constant gs governing the quantum corrections. GN ∼ g 2 ls2 . These massive particles can be viewed as the oscillation modes of a string. There is a massless spin two particle, so we recover grav ...
New geometric concepts in the foundations of physics
... through and through, although this is sometimes obscured by rather inelegant presentations. In general relativity, the geometry of space–time itself, in the form of the metric, becomes dynamical and interacts with matter. As is well known, Einstein failed to realize his dream of finding a unified, g ...
... through and through, although this is sometimes obscured by rather inelegant presentations. In general relativity, the geometry of space–time itself, in the form of the metric, becomes dynamical and interacts with matter. As is well known, Einstein failed to realize his dream of finding a unified, g ...
Hogan: An Alternative Version of Quantum Mechanics
... faster than the speed of light The quantum potential exerts an influence on the particle that is not within the constraints of the speed of light In Bohm’s theory relativity applies only to “observational content” of the theory ...
... faster than the speed of light The quantum potential exerts an influence on the particle that is not within the constraints of the speed of light In Bohm’s theory relativity applies only to “observational content” of the theory ...
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.