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Answers to Coursebook questions – Chapter J3
Answers to Coursebook questions – Chapter J3

... there is a strange quark on the left hand side of the decay but none on the right hand side. If this were a strong interaction process (or electromagnetic) the lifetime would be very short (less than about 10 20 s ). However, the decay of the lambda has a much larger lifetime (of order 10 10 s ). ...
Model of molecular bonding based on the Bohr
Model of molecular bonding based on the Bohr

Entanglement, Distillation and Quantum Repeaters
Entanglement, Distillation and Quantum Repeaters

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Light-shift imbalance induced blockade of collective excitations beyond the lowest order
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An Introduction to Quantum Field Theory, Mrinal Dasgupta
An Introduction to Quantum Field Theory, Mrinal Dasgupta

Single-electron tunneling in the fractional quantum Hall effect regime∗
Single-electron tunneling in the fractional quantum Hall effect regime∗

... where A is the vector potential associated with B = ∇ × A, V is an external electrostatic potential, and u(r) = e2 /r is the potential of the Coulomb interaction between the electrons. The adiabatic principle of Greiter and Wilczek [8] is formulated in terms of a new hamiltonian ...
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Chapter 7 - TESD home

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... with 8^ =8^± i8y and lf=If± I-, and where Ai « A\\j/{ri) p with/I a proportionality constant and i//'(r;) the wavefunction of the confined electron on the quantum dot. The number of nuclear spins is large, typically of order 10^, and so the nuclear spins generally act as a disordered bath on the ele ...
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Thermochemistry (4 lectures)

... To be able to do this:  the orbitals involved must have the same energy  there must not be an electron in the second orbital with the same spin as that in the first orbital. If there is, the electron cannot orbit without breaking the Pauli principle. ...
Student Pages - Quarknet
Student Pages - Quarknet

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Physics 610: Quantum Optics

... Most of the lectures will cover material on the fully-quantum mechanical description of the radiation field and its interaction with matter, as treated in the later chapters. We begin at chapter 10, in which Maxwell’s equations are quantized, and we then proceed to consider various properties, measu ...
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Chapter 1 Review of thermodynamics and statistical mechanics

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Quantum Theory 1 - Home Exercise 6
Quantum Theory 1 - Home Exercise 6

... (c) We measure the particle’s position at time t. What is the probability of finding the particle at the right half of the well? (d) Find hxi(t) and hpi(t) . Notice that while these are periodic, they are very different from the classical results. Discuss the reasons for this difference. 4. Consider ...
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Stress-energy tensor and conservation

... The stress-energy tensor has 16 components, but we will see later that it is symmetric and only 10 are physical. The usual statements about charge are equally valid for 4-momentum. It is conserved in the local sense that T βα ,α = Ṫ β0 + T βk ,k = 0. Alternatively, if one tries to define a total 4- ...
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Lecture 5 Motion of a charged particle in a magnetic field

... Classically, in electric and magnetic field, particles experience a Lorentz force: F = q (E + v × B) q denotes charge (notation: q = −e for electron). Velocity-dependent force qv × B very different from that derived from scalar potential, and programme for transferring from classical to quantum mech ...
On the Physical Origin of the Lamb Shift
On the Physical Origin of the Lamb Shift

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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.
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