
Photon localizability - Current research interest: photon position
... I.Based on photodetection theory,the photon wave function is sometimes defined as the expectation value of the +ve energy field operator as below where |> is a 1-photon state and |0> the vacuum: 0 E ( ) ( z , t ) F1/ 2 ( z , t ) if k ' s have equal weight F0 ( z , t ) if weights go as k 1 ...
... I.Based on photodetection theory,the photon wave function is sometimes defined as the expectation value of the +ve energy field operator as below where |> is a 1-photon state and |0> the vacuum: 0 E ( ) ( z , t ) F1/ 2 ( z , t ) if k ' s have equal weight F0 ( z , t ) if weights go as k 1 ...
Comparison of the Bohr and Quantum Mechanical
... Comparison of the Bohr and Quantum Mechanical Models of the Atom 1. In the Bohr Model, the electron is treated as a particle in fixed orbits around the nucleus. In the Quantum Mechanical Model, the electron is treated mathematically as a wave. The electron has properties of both particles and waves. ...
... Comparison of the Bohr and Quantum Mechanical Models of the Atom 1. In the Bohr Model, the electron is treated as a particle in fixed orbits around the nucleus. In the Quantum Mechanical Model, the electron is treated mathematically as a wave. The electron has properties of both particles and waves. ...
Document
... • A proper understanding of electron and other spin ½ particles came 1928 from theory proposed by Paul Dirac, who for the first time combined both quantum mechanics and special theory of relativity. Thus spin is quantum – relativistic property of the particles. • This theory also predicted that elec ...
... • A proper understanding of electron and other spin ½ particles came 1928 from theory proposed by Paul Dirac, who for the first time combined both quantum mechanics and special theory of relativity. Thus spin is quantum – relativistic property of the particles. • This theory also predicted that elec ...
Chapter 27: Summary
... the light is incident on an aluminum surface, explain if we know whether this means that photoelectrons are emitted from a gold surface or a cesium surface when the light is incident on those surfaces. 5. With a particular metal plate, shining a beam of green light on the metal causes electrons to b ...
... the light is incident on an aluminum surface, explain if we know whether this means that photoelectrons are emitted from a gold surface or a cesium surface when the light is incident on those surfaces. 5. With a particular metal plate, shining a beam of green light on the metal causes electrons to b ...
PPT
... Double-slit interference pattern, just like photons Electron microscopy Heisenberg Uncertainty Principle An object cannot have both position and momentum simultaneously. Implications for measurements in QM Measuring one destroys knowledge of the other. ...
... Double-slit interference pattern, just like photons Electron microscopy Heisenberg Uncertainty Principle An object cannot have both position and momentum simultaneously. Implications for measurements in QM Measuring one destroys knowledge of the other. ...
S. Mayboroda:
... The property of the localization of the eigenfunctions in rough domains or rough materials permeates acoustics, quantum physics, elasticity, to name just a few. Localization on fractal domains was used for noise abatement walls which up to date hold world efficiency record. Anderson localization of ...
... The property of the localization of the eigenfunctions in rough domains or rough materials permeates acoustics, quantum physics, elasticity, to name just a few. Localization on fractal domains was used for noise abatement walls which up to date hold world efficiency record. Anderson localization of ...
Quantum Questions Inspire New Math
... Calabi-Yau space, the so-called quintic. A classical result from the 19th century states that the number of lines — degree-one curves — is equal to 2,875. The number of degree-two curves was only computed around 1980 and turns out to be much larger: 609,250. But the number of curves of degree three ...
... Calabi-Yau space, the so-called quintic. A classical result from the 19th century states that the number of lines — degree-one curves — is equal to 2,875. The number of degree-two curves was only computed around 1980 and turns out to be much larger: 609,250. But the number of curves of degree three ...
Slide 1
... Why are there fewer muons deep in the ocean than at the surface? • Those electrons we brushed aside are to blame: “Friction” loss of energy is 2 MeV per cm. A kilometer of water is 10^5 cm and so muons with energies of less than ...
... Why are there fewer muons deep in the ocean than at the surface? • Those electrons we brushed aside are to blame: “Friction” loss of energy is 2 MeV per cm. A kilometer of water is 10^5 cm and so muons with energies of less than ...
Statistical Thermodynamics
... • The most “disordered” macrostate is the state with the highest probability. • The macrostate with the highest thermodynamic probability will be the observed equilibrium state of the system. • The statistical model suggests that systems tend to change spontaneously from states with low thermodynam ...
... • The most “disordered” macrostate is the state with the highest probability. • The macrostate with the highest thermodynamic probability will be the observed equilibrium state of the system. • The statistical model suggests that systems tend to change spontaneously from states with low thermodynam ...
Planck-Einstein relation, Time Dep. Schrodinger Eq., Po
... ν and speed c by λ ν = c, and the wave vector k is given by k = 2π/λ . Combining these three relations with the Planck-Einstein relation for quantization of light, E = hν, immediately yields p = h̄k. Note also that for photons ω = ck where ω = 2πν is the angular frequency, i.e., there is a linear r ...
... ν and speed c by λ ν = c, and the wave vector k is given by k = 2π/λ . Combining these three relations with the Planck-Einstein relation for quantization of light, E = hν, immediately yields p = h̄k. Note also that for photons ω = ck where ω = 2πν is the angular frequency, i.e., there is a linear r ...
Holonomic quantum computation with neutral atoms
... of their very geometric-topological nature, show an inherent stability against some local perturbations. It is therefore a natural and intriguing question to ask whether one could take advantage of this geometric features to the aim of processing quantum information. Indeed one would expect the abov ...
... of their very geometric-topological nature, show an inherent stability against some local perturbations. It is therefore a natural and intriguing question to ask whether one could take advantage of this geometric features to the aim of processing quantum information. Indeed one would expect the abov ...
LECTURE 22 THE STRONG COUPLING CONSTANT, QUARK-GLUON PLASMA (QGP)
... coupling constant ( running coupling constant ) is given by ...
... coupling constant ( running coupling constant ) is given by ...
Worksheets for Chapter 7
... Which sub-energy level is indicated by ` = 1? which sub-energy level is indicated by ` = 2? What is the maximum number of electrons that can be held in an f sub-energy level? What does it mean for an electron to be “excited”? What are the n and ` quantum numbers for the last electron in bromine? Wha ...
... Which sub-energy level is indicated by ` = 1? which sub-energy level is indicated by ` = 2? What is the maximum number of electrons that can be held in an f sub-energy level? What does it mean for an electron to be “excited”? What are the n and ` quantum numbers for the last electron in bromine? Wha ...
The Concept of Probability in Quantum Mechanics
... the passage of a single corpuscular entity traveling from S through the holes in screen B to the point X. ...
... the passage of a single corpuscular entity traveling from S through the holes in screen B to the point X. ...
Quantum Physics 2005 Notes-6 Solving the Time Independent Schrodinger Equation
... making the original length and energy variables dimensionless. #The choice of scale is arbitrary, so we can make it to fit the problem. ...
... making the original length and energy variables dimensionless. #The choice of scale is arbitrary, so we can make it to fit the problem. ...
Crash course on Quantum Mechanics
... by the Schrödinger equation i∂t ψt (x) = Hψt (x) where H is an operator (the so called Hamilton-operator or energy operator of the system) that acts on the Hilbert space of states. The Hamiltonian is the basic object in quantum physics, it contains the physical description of the model. It encodes ...
... by the Schrödinger equation i∂t ψt (x) = Hψt (x) where H is an operator (the so called Hamilton-operator or energy operator of the system) that acts on the Hilbert space of states. The Hamiltonian is the basic object in quantum physics, it contains the physical description of the model. It encodes ...
weird
... •Many of the predictions of quantum mechanics are verified with ordinary matter particles (like electrons), but these experiments are hard •The calculations are harder, but the results are similar when you use photons •And we are very good at manipulating light! •Ordinary mirrors reflect light with ...
... •Many of the predictions of quantum mechanics are verified with ordinary matter particles (like electrons), but these experiments are hard •The calculations are harder, but the results are similar when you use photons •And we are very good at manipulating light! •Ordinary mirrors reflect light with ...
Document
... The weak equivalence principle, also known as the universality of free fall or the Galilean equivalence principle can be stated in many ways. The strong EP includes (astronomic) bodies with gravitational binding energy (e.g., 1.74 solar-mass pulsar PSR J1903+0327, 15.3% of whose separated mass is ab ...
... The weak equivalence principle, also known as the universality of free fall or the Galilean equivalence principle can be stated in many ways. The strong EP includes (astronomic) bodies with gravitational binding energy (e.g., 1.74 solar-mass pulsar PSR J1903+0327, 15.3% of whose separated mass is ab ...
Quantum electrodynamics

In particle physics, quantum electrodynamics (QED) is the relativistic quantum field theory of electrodynamics. In essence, it describes how light and matter interact and is the first theory where full agreement between quantum mechanics and special relativity is achieved. QED mathematically describes all phenomena involving electrically charged particles interacting by means of exchange of photons and represents the quantum counterpart of classical electromagnetism giving a complete account of matter and light interaction.In technical terms, QED can be described as a perturbation theory of the electromagnetic quantum vacuum. Richard Feynman called it ""the jewel of physics"" for its extremely accurate predictions of quantities like the anomalous magnetic moment of the electron and the Lamb shift of the energy levels of hydrogen.