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Collective Electrodynamics: Quantum Foundations of Quantum Theory 

Collective Electrodynamics: Quantum Foundations of

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But string theories are the special case of Regge theories where this behavior can be described by a perturbation expansion, whose not-too-strong coupling implies the linearity of the Regge trajectories as well as the distinctively string property: At lowest order in perturbation (coupling constant), the scattering amplitude can be found by summing either the contributions where particles annihilate into a single particle which then splits back into 2, or the contributions where the 2 scattering particles exchange a single particle.
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Resonance Universe Theory Quantum Theory 

Resonance Universe Theory

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Modern quantum mechanics was born in 1925, when Heisenberg developed matrix mechanics[?] and Schr�dinger invented wave mechanics and the Schrödinger equation. If someone who denies the validity of climatology, evolutionary biology and most of medical science uses an airplane then they lack integrity. What A Ride! (click to take quiz) A fourth dimension hypercube is known as a what? If they don't then the observables... [more] Professor Susskind begins the lecture with a review of the problem of a single spin in a magnetic field.
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Quantum Calculus: New Concepts, Impulsive, IVPs, BVPs and Quantum Theory 

Quantum Calculus: New Concepts, Impulsive, IVPs, BVPs and

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There is no practical application in these examples since ideally it would take just as much energy, and in practice somewhat more energy owing to frictional and other losses, to separate the plates for a second cycle. The opposing camp, led by the German physicists Bohr, Max Born, and Werner Heisenberg, as well as the American Paul Dirac, formulated the theory of matrix mechanics. The energy content of a resonator cannot be increased by half a quantum any more than you could climb a ladder by moving up half a rung at a time.
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Practical Quantum Mechanics: Modern Tools and Applications Quantum Theory 

Practical Quantum Mechanics: Modern Tools and Applications

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He showed that by absorbing a discrete quantum of energy, an electron can jump from one orbit to another. As long as there is spherical symmetry, these states all have exactly the same energy. Schrödinger, in speaking of a universe in which particles are represented by wave functions, said, “The unity and continuity of Vedanta are reflected in the unity and continuity of wave mechanics. What is evolving, what is moving, is the probability, more fundamentally, the possibilities, of finding the particle in different places, or the expectation value of various physical quantities as a function of the time.
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Laser Spectroscopy Quantum Theory 

Laser Spectroscopy

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E=hf where only discrete frequencies (f) area resonantly stable and thus 'allowed'. (There are no separate light 'particles / photons' or collapsing wave functions, both being mathematical existents only!) Most importantly, these standing wave interactions and resonant coupling are the reason for Schrodinger's Standing Wave Equations and their obvious success at explaining the allowed energy states for electrons in atoms, and thus the discrete photon effect of light as these electrons move from one resonant standing wave pattern (quantum state) to another.
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Deep Beauty: Understanding the Quantum World through Quantum Theory 

Deep Beauty: Understanding the Quantum World through

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An important guide for making these choices is the correspondence principle, which states that the predictions of quantum mechanics reduce to those of classical mechanics when a system moves to higher energies or, equivalently, larger quantum numbers, i.e. whereas a single particle exhibits a degree of randomness, in systems incorporating millions of particles averaging takes over and, at the high energy limit, the statistical probability of random behaviour approaches zero.
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From Quantum Mechanics to Force Fields: A Topical Collection Quantum Theory 

From Quantum Mechanics to Force Fields: A Topical Collection

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The Official String Theory Website: An excellent introductory site for the nonspecialist, including RealAudio interviews with leading string theorists, and a tour of the Big Bang. See this article: http://www.scientificamerican.com/article.cfm?id=universe-really-is-a-holo A holographic universe solves the mystery of “quantum entanglement” which Einstein called “spooky actions from a distance.” A holographic universe (which includes a holographic brain) does away with dualism as it relates to the mind and body.
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Molecular Beams (International Series of Monographs on Quantum Theory 

Molecular Beams (International Series of Monographs on

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Members of the high energy theory group are also involved in cross-disciplinary research, applying field theoretic techniques to a variety of problems, including turbulent flow, dissipative quantum systems, the quantum Hall effect, and heavy-ion collisions, to name a few. The most important differential equation to learn, and the one most studied in undergraduate physics, is the harmonic oscillator equation, ax'' + bx' + cx = f(t), where x' means the time derivative of x(t). My guess is that it will be something like the former rather than the latter.
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Scattering Amplitudes and Wilson Loops in Twistor Space Quantum Theory 

Scattering Amplitudes and Wilson Loops in Twistor Space

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The American physicist John Wheeler realised in the 1950s that if you look at things on a scale of about 10-35 metres, quantum fluctuations become powerful enough to play tricks with the geometry of the Universe. Quantum mechanics provides a substantially useful framework for many features of the modern periodic table of elements, including the behavior of atoms during chemical bonding, and has played a significant role in the development of many modern technologies. Studying the shadow within its proper context relative to the globe is the way of understanding the object casting the shadow (the higher-dimensional entity of the “global” wetiko psychosis).
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Fast Car Physics Quantum Theory 

Fast Car Physics

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The central idea here is that the indeterminate description of physical systems provided by quantum theory is incomplete. Time appears (as an illusion) when the stills are collected together in a linear sequence. Bohr, "Light and life" in Atomic Physics and Human Knowledge, (Wiley, New York, 1958), pp. 3-12. The quantization implies that a photon of blue light of given frequency or wavelength will always have the same size quantum of energy. Given the "possibilities function" ψ, quantum mechanics allows us to calculate the "probabilities" for each of the "possibilities."
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