Majorana and the path-integral approach to Quantum Mechanics
... This passage is particularly intriguing if we observe that the issue of the redundant counting in the integration measure in gauge theories, leading to infinite expressions for the transition amplitudes [14], was raised (and solved) only after much time from the Feynman paper. Summing up, it is with ...
... This passage is particularly intriguing if we observe that the issue of the redundant counting in the integration measure in gauge theories, leading to infinite expressions for the transition amplitudes [14], was raised (and solved) only after much time from the Feynman paper. Summing up, it is with ...
Document
... The nonlinear phenomena exhibited by nuclei when they are probed by intense particle beams is a topic in nonlinear nuclear dynamics meriting serious study. Schrödinger’s equation for neutrons within the nucleus becomes the NLSE: ...
... The nonlinear phenomena exhibited by nuclei when they are probed by intense particle beams is a topic in nonlinear nuclear dynamics meriting serious study. Schrödinger’s equation for neutrons within the nucleus becomes the NLSE: ...
exploiting the superposition principle foundations and applications
... "Atomic waves are coherently split, redirected and combined with the atom-light interaction: 2-photon process" ...
... "Atomic waves are coherently split, redirected and combined with the atom-light interaction: 2-photon process" ...
Topological Quantum Computation from non-abelian anyons
... A (hopefully not unique) procedure to construct such a quantum loop model is 1. find a 2d classical loop model which has a critical point 2. use each loop configuration as a basis element of the quantum Hilbert space 3. use a Rokhsar-Kivelson Hamiltonian to make the quantum ground state a sum over ...
... A (hopefully not unique) procedure to construct such a quantum loop model is 1. find a 2d classical loop model which has a critical point 2. use each loop configuration as a basis element of the quantum Hilbert space 3. use a Rokhsar-Kivelson Hamiltonian to make the quantum ground state a sum over ...
Experimental Test of Wave-Particle Duality by Single Neutral Atoms
... the classical notions, and the result is more ideal than ever, which makes BCP seem even more firm. Our observation provides an important complementation to understand the BCP of wave-particle duality. The system paves a way to observe selectively the wave-particle properties on a single quantum lev ...
... the classical notions, and the result is more ideal than ever, which makes BCP seem even more firm. Our observation provides an important complementation to understand the BCP of wave-particle duality. The system paves a way to observe selectively the wave-particle properties on a single quantum lev ...
Topic 7 Collision Dynamics
... The conservation laws described previously work only for hard balls. In this case, the balls instantly change their momentum on contact. If the balls are soft, they may deform. This deformation uses up energy, which means that the enrgy after a collision is less than that before the collision. In th ...
... The conservation laws described previously work only for hard balls. In this case, the balls instantly change their momentum on contact. If the balls are soft, they may deform. This deformation uses up energy, which means that the enrgy after a collision is less than that before the collision. In th ...
Quantum Computing - Department of Physics and Astronomy
... • When the number of transistors goes down, so does the overall dimensions • Transistor size will approach quantum dimensions in ~6-10 years! • We had better be ready to embrace a new approach. ...
... • When the number of transistors goes down, so does the overall dimensions • Transistor size will approach quantum dimensions in ~6-10 years! • We had better be ready to embrace a new approach. ...
“Quantum Computing: Dream or Nightmare”, Physics Today, 49, 51
... electric-dipole optical transitions. Thus the most ambitious task one can expect an optical quantum computer to perform, if nothing is done to correct for decoherence, is the factorizing of a four-bit number! Another point is worth mentioning. Macroscopic quantum systems such as superconducting meta ...
... electric-dipole optical transitions. Thus the most ambitious task one can expect an optical quantum computer to perform, if nothing is done to correct for decoherence, is the factorizing of a four-bit number! Another point is worth mentioning. Macroscopic quantum systems such as superconducting meta ...
Quantum Condensed Matter Field Theory
... formation of an electron “solid phase” — out of which a magnetic state emerges. This application in turn motivates the investigation of the hydrodynamic or spin-wave spectrum of the quantum Heisenberg spin (anti)ferromagnet. We then close this section with a discussion of the weakly interacting dilu ...
... formation of an electron “solid phase” — out of which a magnetic state emerges. This application in turn motivates the investigation of the hydrodynamic or spin-wave spectrum of the quantum Heisenberg spin (anti)ferromagnet. We then close this section with a discussion of the weakly interacting dilu ...
Chapter 7 The Schroedinger Equation in One Dimension In classical
... their charge distribution is static, atoms in stationary states do not radiate. The interesting part of the wave function Ψ(x, t) is its spatial part ψ(x). We will see that a large part of quantum mechanics is devoted to finding the possible spatial functions ψ(x) and their corresponding energies. O ...
... their charge distribution is static, atoms in stationary states do not radiate. The interesting part of the wave function Ψ(x, t) is its spatial part ψ(x). We will see that a large part of quantum mechanics is devoted to finding the possible spatial functions ψ(x) and their corresponding energies. O ...
Quantum Numbers
... All components are symmetric l=0, s=3/2 and flavour (uuu) Need extra anti-symmetric component Each Quark is assigned a new quantum number Colour – can have 3 values Red, Green & Blue and the particle wave function has an extra factor |Ψcolor> Which is anti-symmetric All particles – baryons & mesons ...
... All components are symmetric l=0, s=3/2 and flavour (uuu) Need extra anti-symmetric component Each Quark is assigned a new quantum number Colour – can have 3 values Red, Green & Blue and the particle wave function has an extra factor |Ψcolor> Which is anti-symmetric All particles – baryons & mesons ...
MATHEMATICAL THEORY OF PHYSICAL VACUUM
... This monograph sets out mathematical basics of unifying fundamental physical theory, with a single postulate of nonvoid physical vacuum. It will be shown that all basic equations of classical electrodynamics, quantum mechanics and gravitation theory could be derived from two nonlinear equations, whi ...
... This monograph sets out mathematical basics of unifying fundamental physical theory, with a single postulate of nonvoid physical vacuum. It will be shown that all basic equations of classical electrodynamics, quantum mechanics and gravitation theory could be derived from two nonlinear equations, whi ...
Physical Composition
... separate disciplines. Among rival conceptions of this structure upheld by various pre-Socratic thinkers, it is the atomic hypothesis of Democritus and Leucippus that has had the most lasting influence on the subsequent development of science and philosophy. Atomistic ideas formed a heuristic backdro ...
... separate disciplines. Among rival conceptions of this structure upheld by various pre-Socratic thinkers, it is the atomic hypothesis of Democritus and Leucippus that has had the most lasting influence on the subsequent development of science and philosophy. Atomistic ideas formed a heuristic backdro ...
slides - School of Computer Science
... But we have no insight into finding the true normalized upper bound without resorting to general optimization strategies. ...
... But we have no insight into finding the true normalized upper bound without resorting to general optimization strategies. ...
2 Statistical Mechanics of Non-Interacting Particles
... for one species is affected by eβµ , while the anti-particle is affected by e−βµ , and absorbing the rest-mass into µ would destroy the symmetry between the expressions for the densities of particles and anti-particles. ...
... for one species is affected by eβµ , while the anti-particle is affected by e−βµ , and absorbing the rest-mass into µ would destroy the symmetry between the expressions for the densities of particles and anti-particles. ...
Quantum Chemistry and Spectroscopy (Chem 341)
... atoms and molecules. Mechanics is the science of motion. The pioneers in physical science in the seventeenth century believed that motion of objects is the primary property of matter and that all other properties can be explained in terms of mechanics. Newton’s Laws are the basic axioms of classical ...
... atoms and molecules. Mechanics is the science of motion. The pioneers in physical science in the seventeenth century believed that motion of objects is the primary property of matter and that all other properties can be explained in terms of mechanics. Newton’s Laws are the basic axioms of classical ...