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Quantized quasi-two-dimensional Bose-Einstein condensates with spatially modulated nonlinearity Deng-Shan Wang, Xing-Hua Hu,
Quantized quasi-two-dimensional Bose-Einstein condensates with spatially modulated nonlinearity Deng-Shan Wang, Xing-Hua Hu,

... However, so far, the studies of BECs with spatially modulated nonlinearity are limited to the quasi-one-dimensional cases [8–12]. Moreover, in the study of nonlinear problems no one discusses their quantum properties, which are common in linear systems such as the linear harmonic oscillator. In this ...
Historical overview of the developments of quantum mechanics
Historical overview of the developments of quantum mechanics

... 1913 Bohr’s atom: Niels Bohr succeeds in constructing a theory of atomic structure based on Rutherford’s nuclear planetary model of the atom and the quantum ideas of Planck and Einstein. The key insight was that there were only discrete energies that the system could have. The electrons were said to ...
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... A gun carrier M moves on a frictionless incline, its speed reduces from v to 0 after shooting a canon-ball m in the horizontal direction. Is the total momentum of system (M and m) conserved in this process, and why? Find out the speed of canon-ball. ...
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... • With the inclusion of the inertial vector, the system of forces acting on the particle is equivalent to zero. The particle is in dynamic equilibrium. • Methods developed for particles in static equilibrium may be applied, e.g., coplanar forces may be represented with a closed vector polygon. • Ine ...
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... A train of water waves is generated in a ripple tank. The above graph shows the variation of the displacement of a cork placed in the water with time .Find the frequency of the waves. ...
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... of a curved space-time. In any one of Majorana bases the Dirac generally covariant equation reduces to a pair of separate equations for a real and complex parts of the 4-spinor wave function Ψ = ϕ+ + iϕ− . The lorentz matrices in bispinor space, being specified in any Majorana basis, turn to be real ...
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... distance A and released from rest As the object moves toward the equilibrium position, F and a decrease, but v increases At x = 0, F and a are zero, but v is a maximum The object’s momentum causes it to overshoot the equilibrium position ...
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... to the following definition: Linear Momentum (usually denoted by p) = mass x velocity (note, it has direction) Momentum  mv ...
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Large Quantum Superpositions and Interference of Massive
Large Quantum Superpositions and Interference of Massive

... laser cooling of atoms, the radiation pressure of light is exploited to cool and coherently manipulate the mechanical motion of some degree of freedom (e.g., the center of mass) of a massive object and even to create quantum superpositions of harmonic vibrational states [7,8]. In this Letter, we pre ...
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... for the particle in the box and how they are spaced. What are the allowed values for the quantum number. How about a two dimensional box. How do we get degeneracy (define) for a two or higher dimensional box? This models translational motion; translation of electrons in dye molecules for instance. W ...
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... Bohr, Erwin Schroedinger, and Verner Heisenberg). The atom has a minimum energy state which is called its ground state. Energy levels above that are called excited states. In the ground state, the electrons (and therefore the atoms) have the least amount of energy they can possibly have. Above the g ...
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... modes at frequency ! = c k (k is the wavevector), there is a Higgs mode corresponding to p fluctuations in | ~ | at a frequency ! = !02 + c2 k 2 where !0 = V 00 ( 0 ). An important ...
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Matter wave

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