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MASSACHUSETTS INSTITUTE OF TECHNOLOGY
MASSACHUSETTS INSTITUTE OF TECHNOLOGY

ELEMENTARY QUANTUM METAPHYSICS Once upon a
ELEMENTARY QUANTUM METAPHYSICS Once upon a

5.4 Quantum Devices Energy Levels in a Single Quantum Well
5.4 Quantum Devices Energy Levels in a Single Quantum Well

... We have used periodic boundary conditions for this case, which is physically sensible for large crystals. The wave functions are propagating plane waves in this case. It is, however, more common and sensible to use fixed boundary conditions, especially for small dimensions. The wave functions then a ...
BernTalk
BernTalk

review of Quantum Fields and Strings
review of Quantum Fields and Strings

... The interactions (electromagnetic and nuclear forces) between these particles are also described by quantum fields. In principle, leaving aside gravitation, quantum field theory is a candidate for the ultimate theory of all matter and force. A classical field is a function defined on space-time whos ...
Geometrie Aspects of Quantum Field Theory §1. The Framework »V
Geometrie Aspects of Quantum Field Theory §1. The Framework »V

Is Anything Real? Have Physicists Lost Their Grip on Reality?
Is Anything Real? Have Physicists Lost Their Grip on Reality?

... be considered to be spinning. This spin is a name for results of experiments. The analogy to a spinning top may be a help to thought, but it will give bad results if taken too literally. ...
Problem #518 Solution Find all pairs of positive integers x, y such
Problem #518 Solution Find all pairs of positive integers x, y such

Journey into the Microcosm – The Story of Elementary Particles
Journey into the Microcosm – The Story of Elementary Particles

... are assigned the same strangeness, and the ρ meson listed as an isospin singlet! In the Higgs mechanism, the erstwhile Goldstone bosons become the longitudinal modes of massive gauge bosons, as correctly explained. But to say that the Goldstones leave behind ghosts (p. 208) is a trifle unfortunate, ...
The Quantum Theory of General Relativity at Low Energies
The Quantum Theory of General Relativity at Low Energies

... a practical statement. Whether or not general relativity is truly fundamental, the low energy quantum interactions must behave in a particular way because of the nature of the gravitational couplings, and this way is that of effective field theory. The Einstein action, the scalar curvature, involves ...
Partition Functions in Classical and Quantum Mechanics
Partition Functions in Classical and Quantum Mechanics

Document
Document

slides
slides

... ‘Hit’ interpretation: Bell [p 205,] “that the space-time points (x,t) at which the hits are centered (which are determined by the wave function trajectory) should themselves serve as the ``local beables of the theory. These are the mathematical counterparts in the theory to real events at definite p ...
The Future of Computer Science
The Future of Computer Science

... Bennett et al. 1997: “Quantum magic” won’t be enough If you throw away the problem structure, and just consider an abstract “landscape” of 2n possible solutions, then even a quantum computer needs ~2n/2 steps to find the correct one (That bound is actually achievable, using Grover’s algorithm!) ...
Hogan: An Alternative Version of Quantum Mechanics
Hogan: An Alternative Version of Quantum Mechanics

Chapter8
Chapter8

Lagrangian and Hamiltonian forms of the Electromagnetic Interaction
Lagrangian and Hamiltonian forms of the Electromagnetic Interaction

variations in variation and selection: the ubiquity
variations in variation and selection: the ubiquity

Gravity Duals for Nonrelativistic Conformal Field Theories Please share
Gravity Duals for Nonrelativistic Conformal Field Theories Please share

Document
Document

Information Loss
Information Loss

Stationarity Principle for Non-Equilibrium States
Stationarity Principle for Non-Equilibrium States

... Université de Montréal C.P. 6128, succ. Centre-Ville Montréal, Québec H3C 3J7 (Canada) ...
Scotty may soon be able to beam us up
Scotty may soon be able to beam us up

... the microscopic world, quantum theorists have found that they simply cannot pin down the smallest bits of atoms at all. Some are so tiny that they are smaller than the smallest rays of light that we need to look at them, so that in observing them we are liable to "bump into" them and change them. Mo ...
Slide 1
Slide 1

... but approximate local for small mass. A spacetime with singularities (free function a(x)), etc. ...
***** 1
***** 1

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Scalar field theory

In theoretical physics, scalar field theory can refer to a classical or quantum theory of scalar fields. A scalar field is invariant under any Lorentz transformation.The only fundamental scalar quantum field that has been observed in nature is the Higgs field. However, scalar quantum fields feature in the effective field theory descriptions of many physical phenomena. An example is the pion, which is actually a pseudoscalar.Since they do not involve polarization complications, scalar fields are often the easiest to appreciate second quantization through. For this reason, scalar field theories are often used for purposes of introduction of novel concepts and techniques.The signature of the metric employed below is (+, −, −, −).
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