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Atomic physics
Atomic physics

... potential between two ground-state atoms, as shown by Fig. 1, and their scattering is thus dominated by s-wave scattering. On a longer length scale than the interatomic separations shown in Fig. 1 we can represent the interatomic motion by a wave function that has a sinusoidal dependence on R, the i ...
Is Quantum Mechanics necessary for understanding
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preskill-ARO-2013 - Caltech Particle Theory
preskill-ARO-2013 - Caltech Particle Theory

... numbers of other modes (e.g. the number of occupied modes to the left of the given site). We could represent fermion operators as (Jordan-Wigner) nonlocal string operators at cost O(L), or we could store the partial sums of mode ...
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PowerPoint file of HBM_Intro _part I

... This walk takes a fixed number of progression steps When the swarm moves or oscillates, then the micropath is stretched along the path of the swarm This stretching is controlled by the third swarming condition ...
Three measurement problems | SpringerLink
Three measurement problems | SpringerLink

Analytical method for determining quantum well exciton properties in
Analytical method for determining quantum well exciton properties in

... Bohr radius equation (7). At the same time, inclusion of these terms in above energy formula does not lead to significant complication of the calculation. The change of the exciton size influences also the exciton transition dipole moment and consequently the optical exciton creation rates. In the c ...
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Alkali D Line Data

... Here, P is the air pressure in Pa, T is the temperature in ◦ C, κ is the vacuum wave number kL /2π in µm−1 , and f is the partial pressure of water vapor in the air, in Pa (which can be computed from the relative humidity via the Goff-Gratch equation [12]). This formula is appropriate for laboratory ...
Towards ~ Lorentz Invariant Quantum Theory of Measurement
Towards ~ Lorentz Invariant Quantum Theory of Measurement

... triggered into irreversible response or not and so wave packet reduction is accounted for even in null-measurements. While I've presented this theory with such brevity as to guarantee misrepresentation I will still assert that its peculiar weakness is the somewhat ad hoc nature of the superselection ...
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... with the same symbols ␥ ␮ ordinarily used to represent the Dirac matrices. In view of what we know about STA, this correspondence reveals the physical significance of the Dirac matrices, appearing so mysteriously in relativistic quantum mechanics: The Dirac matrices are no more and no less than matr ...
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Quantum Phenomena Modeled by Interactions between Many

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...  Quantum computation: Use nature to compute  Use N qubits to represent 2N complex amplitudes  Perform unitary operations on qubits  Measure to get the output  Harness quantum superposition to get exponential speedup ...
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... estimate the size of the neglected effects, but there is no such method (at least not yet), see section 2.2.2. For a small number of electrons the CI-approach can produce virtually exact results, provided of course that the basis set describes the physical space well enough. The size of the full CI ...
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... Aside from such applications on the everyday-life level, there can be another important approach; that is, to detect and to study ultimately weak THz radiation. While astronomers have long pursued this approach, researchers in basic research area of matters may benefit greatly as well. Photon energie ...
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... of this domain, governing the way quantum systems evolve and interact, being probabilistic laws. If this conjecture is correct, it immediately provides us with a very natural route to a resolution of the notorious wave/particle problem. Quantum entities, being fundamentally probabilistic entities, i ...
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field concepts and the emergence of a holistic

... or is better or „truer“ than any other. Nature is extremely diverse and stratified; each description comprehends only a minute partial aspect of its unfathomable multiplicity. Any scientific description of a natural phenomenon is only possible if we renounce the description of its complementary aspe ...
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MATHEMATICAL HISTORY OF WAVE AND MATRIX QUANTUM

... the nucleus because their motion would emit a continuous radiation of energy from the atom. Who could explain the data of the spectroscopy and the amazing stability of atoms? A genius called Niels Bohr, a Dane (age 28) who had recently worked in Rutherford’s laboratory. He avoided these difficulties ...
Lecture Notes Chapters 1-7
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Universal Quantum Computation with the Exchange Interaction
Universal Quantum Computation with the Exchange Interaction

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... Semiempirical methods (I) The problem of ab initio calculation is their N4 dependence from the number of two-electron integrals. These arise from the number of basis functions and the interactions between electrons on different atoms. In semiempirical methods the numerical effort is strongly reduce ...
Is the Quantum World Composed of Propensitons
Is the Quantum World Composed of Propensitons

... his wave mechanics could be interpreted to be about wave-like entities in physical space. But any such interpretation was dealt a mortal blow when Born (1926, 1927) interpreted the -function as containing probabilistic information about the results of performing measurements on quantum systems. Wa ...
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... Quantum computing deals with the processing of information according to the laws of quantum mechanics. Within the last few years, it has attracted considerable attention because quantum computers are expected to be capable of performing certain tasks which no classical computers can do in practical ...
3.3 The time-dependent Schrödinger equation
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... which means that a wave with a spatial part  exp  ikz  is definitely going in the positive z direction That wave, including its time dependence would be of the form (for V  0 ) exp i  kz  Et /    ...
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Wave–particle duality

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