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The effective field theory of general relativity and running couplings
The effective field theory of general relativity and running couplings

... A lot of portentous drivel has been written about the quantum theory of gravity, so I'd  like to begin by making a fundamental observation about it that tends to be  obfuscated. There is a perfectly well‐defined quantum theory of gravity that agrees  accurately with all available experimental data.  ...
simulate quantum systems
simulate quantum systems

RADIATION EMITTED BY MOLECULES IN THE PRESENCE OF A
RADIATION EMITTED BY MOLECULES IN THE PRESENCE OF A

... Reabsorption of radiation at the frequency n0 can be disregarded because there is no resonance absorption at the frequency n 0• We note that, in contrast to the intensity of spontaneous emission, which is proportional to the number of active molecules nact = n 2 -n1 (see, e.g., Refs. 7- 9), where n ...
Fractional charge in the fractional quantum hall system
Fractional charge in the fractional quantum hall system

... which imply 1/ν must be an odd integer, which is the simple fractional quantum Hall. As a summary, it is known that Laughlin wavefunction is the variational ground state of the FQHE. And it satisfies the equation of incompressible hydrodynamics equation. Thus, it is argued that the low energy excita ...
Homework No. 07 (Spring 2015) PHYS 530A: Quantum Mechanics II
Homework No. 07 (Spring 2015) PHYS 530A: Quantum Mechanics II

... (b) Beginning with |5/2, 5/2i use the lowering operator to build five other states with j = 5/2. (c) Construct |3/2, 3/2i state by requiring it to be orthogonal to |5/2, 3/2i, and be normalized. (d) Beginning with |3/2, 3/2i use the lowering operator to build three other states with j = 3/2. ...
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The Born rule and its interpretation

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Calculation of the Energy Levels of Phosphorus Isotopes

... such all many-body configurations. In this model protons and neutrons move all active single particle orbits with three restrictions, Isospin, Angular momentum and Parity conservation [1, 2]. A J orbit has (2J+1) degeneracy for Jz, if we put Nπ protons and Nν neutrons on such orbits, then the number ...
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Spin and uncertainty in the interpretation of quantum mechanics
Spin and uncertainty in the interpretation of quantum mechanics

... can be achieved by the alternatives such as the Copenhagen interpretation. To say that the electron spin and magnetic moment are dynamical properties is to hold that they describe a circulation of electron mass and charge. To justify and delineate this interpretation, we must examine the flow of ele ...
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Solutions of One-Dimensional Effective Mass Schrödinger Equation

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quantum number - Reseda High School

... description of atoms. Both theories are based on the existence of simple building blocks, atoms in one case, and quanta in the other. The work of Plank and Einstein thus suggested a connection between the quantized nature of energy and the properties of individual atoms. In fact, Einstein's Nobel Pr ...
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The quantum does not reduce to discrete bits

... intermediate states. [paper] Poincare had previously written about the atomic hypothesis as if it were just a convention. But when he studied the work of Perrin on atoms and Planck on radiation, he became the leading advocate of the quantum theory. An American magazine breathlessly reported ...
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Wilson-Sommerfeld quantization rule revisited

... are obvious. One quickly arrives at some exact results, and a few approximate ones that are otherwise significant, the more so in the large-n limit. Moreover, our understanding of the quantum classical correspondence becomes transparent. Predicting the behavior of maxima of near-exact probability fu ...
Introductory Quantum Optics Section 1. Single photon physics
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26. Electromagnetic Wave Theory and Applications

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The role of Chern Simons theory in solving the fractional quantum

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5 Bose-Einstein condensate (BEC)

... or the demon- stration of the Einstein-Podolsky-Rosen (EPR) paradox. These applications rely on techniques to manipulate and detect coherences of quantum fields, the quadratures. Whereas in optics coherent homodyne detection of quadratures is a standard technique, for massive particles a correspondin ...
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Lenz vector operations on spherical hydrogen atom

... While L̂ z can change neither ᐉ nor m, Â z changes ᐉ but not m. Â z cannot change m because A z and L z commute so 兵 A z 兩 nᐉm 典 其 must be an eigenfunction of L z with eigenvalue m. This does not, however, preclude A z changing ᐉ 共also a consequence of the Wigner–Eckart theorem兲. The ability to sh ...
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Answers

... Clearly, this has zeros when x1 = 0, L, when x2 = 0, L, and when x1 = x2 . If the particles were charged, they would repel each other through the Coulomb interaction. Therefore, in the spin 1/2 case, the triplet state would have the lower energy, because the particles tend to be further apart. This ...
Reivelt, K., Vlassov, S. (2014) Quantum SpinOff Learning Station
Reivelt, K., Vlassov, S. (2014) Quantum SpinOff Learning Station

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From quantum mechanics to nanoparticles and their

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quantum aspects of photon propagation in transparent infinite
quantum aspects of photon propagation in transparent infinite

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Wave–particle duality

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