A short history of fractal-Cantorian space-time
... If we project the space-time of vacuum fluctuation on a Poincaré circle we will see a hyperbolic tessellation of this circle with predominantly Klein-curve-like geometry. This is an important part of El Naschie’s thesis that actual quantum spacetime strongly resembles the hyperbolic geometry of th ...
... If we project the space-time of vacuum fluctuation on a Poincaré circle we will see a hyperbolic tessellation of this circle with predominantly Klein-curve-like geometry. This is an important part of El Naschie’s thesis that actual quantum spacetime strongly resembles the hyperbolic geometry of th ...
Quantum Computing
... instead of the laws of classical physics. 1985 - David Deutsch developed the quantum turing machine, showing that quantum circuits are universal. 1994 - Peter Shor came up with a quantum algorithm to factor very large numbers in polynomial time. 1997 - Lov Grover develops a quantum search algo ...
... instead of the laws of classical physics. 1985 - David Deutsch developed the quantum turing machine, showing that quantum circuits are universal. 1994 - Peter Shor came up with a quantum algorithm to factor very large numbers in polynomial time. 1997 - Lov Grover develops a quantum search algo ...
Lenz vector operations on spherical hydrogen atom
... degeneracy in m for any central potential. L̂ z , of course, does not change any quantum numbers because the spherical eigenfunctions are also eigenfunctions of L̂ z . 共Recall that the spherical eigenfunctions are obtained using the mutually commuting operators Ĥ, L̂ 2 and L̂ z .) On the other hand ...
... degeneracy in m for any central potential. L̂ z , of course, does not change any quantum numbers because the spherical eigenfunctions are also eigenfunctions of L̂ z . 共Recall that the spherical eigenfunctions are obtained using the mutually commuting operators Ĥ, L̂ 2 and L̂ z .) On the other hand ...
casimir effect in external magnetic field
... vacuum energy of electrically charged fields under the influence of an external constant uniform magnetic field, and constrained by simple boundary conditions. In Section 2 we shall consider a complex scalar field confined between two infinite plates with Dirichlet boundary conditions with magnetic ...
... vacuum energy of electrically charged fields under the influence of an external constant uniform magnetic field, and constrained by simple boundary conditions. In Section 2 we shall consider a complex scalar field confined between two infinite plates with Dirichlet boundary conditions with magnetic ...
We now extend the trace distance and fidelity to the quantum case
... 1. Quantum operations We’ve encountered some quantum operations, including unitary operation and orthogonal measurements. One can of course have other operations, such as adding a quantum system and discarding part of a system. In general, one can use arbitrary sequence of the above operations to an ...
... 1. Quantum operations We’ve encountered some quantum operations, including unitary operation and orthogonal measurements. One can of course have other operations, such as adding a quantum system and discarding part of a system. In general, one can use arbitrary sequence of the above operations to an ...
Syllabus of math and physics doc
... presented in graduate physics coursework. Then read Jones, then Georgi. There will be much less for you to have to accept by fiat. History: (quoted from Gilmore’s text) “This study of simultaneous differential equations led Lie to investigate continuous transformation groups, from which the theory o ...
... presented in graduate physics coursework. Then read Jones, then Georgi. There will be much less for you to have to accept by fiat. History: (quoted from Gilmore’s text) “This study of simultaneous differential equations led Lie to investigate continuous transformation groups, from which the theory o ...
TT 8.1–8.10 - DPG
... We present a systematic study of the vertex function correction in homogeneous electron gas at metallic densities [1]. Contrary to a popular belief the vertex function not only provides corrections to the well known plasmon or particle-hole pair scatterings, but also gives rise to new physical proce ...
... We present a systematic study of the vertex function correction in homogeneous electron gas at metallic densities [1]. Contrary to a popular belief the vertex function not only provides corrections to the well known plasmon or particle-hole pair scatterings, but also gives rise to new physical proce ...
May 31, 2014
... Notably, based on this result one finds a canonical solution to the old problem of formulating generalized cohomology that is both differential as well as twisted [BuNi14, Sc14b], thereby in particular putting the foundational work [DFM11] on solid ground. These are exciting developments and it is c ...
... Notably, based on this result one finds a canonical solution to the old problem of formulating generalized cohomology that is both differential as well as twisted [BuNi14, Sc14b], thereby in particular putting the foundational work [DFM11] on solid ground. These are exciting developments and it is c ...
PowerPoint file of HBM_part 2
... embedding continuum in the form of a wave front that folds and thus curves this continuum The traces of these Qtargets mark paths where the wave fronts dig pitches into the continuum that combine into channels that act as geodesics. ...
... embedding continuum in the form of a wave front that folds and thus curves this continuum The traces of these Qtargets mark paths where the wave fronts dig pitches into the continuum that combine into channels that act as geodesics. ...
Quantum vacuum in de Sitter spacetime
... between the plates is power law (monotonical or oscillating), independently of the field mass This is quite remarkable and clearly in contrast with the corresponding features of the same problem in a Minkowski bulk. The interaction forces between two parallel plates in Minkowski spacetime at large d ...
... between the plates is power law (monotonical or oscillating), independently of the field mass This is quite remarkable and clearly in contrast with the corresponding features of the same problem in a Minkowski bulk. The interaction forces between two parallel plates in Minkowski spacetime at large d ...
EP-307 Introduction to Quantum Mechanics
... How and why we can use these idealizations in computations? Lets take the instance of a point charge, which is easier to visualise than the normalization of an infinite set of basis vectors. A point charge in a macroscopic problem in electrostatics is in actuality a charge concentrated on a small re ...
... How and why we can use these idealizations in computations? Lets take the instance of a point charge, which is easier to visualise than the normalization of an infinite set of basis vectors. A point charge in a macroscopic problem in electrostatics is in actuality a charge concentrated on a small re ...
