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STUDY ON THE WAVE NATURE OF THE REST MASS
... (1) Like the photon, a particle (such as a electron) is not a point-like object, instead, it behaves like a wave packet. (2) Like the photon, the matter wave of a particle is an excitation of a real physical field. (3) Different types of particles are different excitation modes of a unified field i ...
... (1) Like the photon, a particle (such as a electron) is not a point-like object, instead, it behaves like a wave packet. (2) Like the photon, the matter wave of a particle is an excitation of a real physical field. (3) Different types of particles are different excitation modes of a unified field i ...
Chapter 1. The Basics of Quantum Mechanics
... Figure 1. 3. Characterization of small and large stable orbits for an electron moving around a nucleus. A circular orbit was thought to be stable when the outward centrifugal force characterized by radius r and speed v (me v2/r) on the electron perfectly counterbalanced the inward attractive Coulom ...
... Figure 1. 3. Characterization of small and large stable orbits for an electron moving around a nucleus. A circular orbit was thought to be stable when the outward centrifugal force characterized by radius r and speed v (me v2/r) on the electron perfectly counterbalanced the inward attractive Coulom ...
The path integral representation kernel of evolution operator in
... suitable dynamics equation of the option price. Just like the Schrodinger equation, the MertonGarman equation is of evolution type. Hence, the path integral method is well fit for presenting the corresponding solution in a closed form and reduces the problem to quadratures. In articles [6, 7] the pa ...
... suitable dynamics equation of the option price. Just like the Schrodinger equation, the MertonGarman equation is of evolution type. Hence, the path integral method is well fit for presenting the corresponding solution in a closed form and reduces the problem to quadratures. In articles [6, 7] the pa ...
Highlights - UMD Physics
... variational method does not change the Hamiltonian of the problem - that is given by nature. Instead it allows us to embellish the guess wavefunctions with additional parameters to improve our estimate of the ground state energy. The variational method is remarkably tolerant and gives very good esti ...
... variational method does not change the Hamiltonian of the problem - that is given by nature. Instead it allows us to embellish the guess wavefunctions with additional parameters to improve our estimate of the ground state energy. The variational method is remarkably tolerant and gives very good esti ...
Encyclopedia - KSU Faculty Member websites
... end of the 17th cent. In 1690, Christian Huygens proposed a theory that explained light as a wave phenomenon. However, a rival theory was offered by Sir Isaac Newton in 1704. Newton, who had discovered the visible spectrum in 1666, held that light is composed of tiny particles, or corpuscles, emitte ...
... end of the 17th cent. In 1690, Christian Huygens proposed a theory that explained light as a wave phenomenon. However, a rival theory was offered by Sir Isaac Newton in 1704. Newton, who had discovered the visible spectrum in 1666, held that light is composed of tiny particles, or corpuscles, emitte ...
... that is when plasma oscillations are of the same order as the inter-particle distance a. In order to create some more realistic models of plasma, we want to compute the breaking amplitude max obtained by the combination of the equations (22) and (23) for a gas of electrons. Using the definition of ...
Abstract PACS: 03.67.Bg, 04.80.Nn, 42.50.Pq, 37.10.Vz Email
... electrons spin states[3]. Bell accepts EPR conclusion and proposes Bell inequalities to give a judgment which theory describes the real world, quantum mechanics or local hidden variable model[4]. Entanglement as a new resource can not only be applied to information field, such as quantum state telep ...
... electrons spin states[3]. Bell accepts EPR conclusion and proposes Bell inequalities to give a judgment which theory describes the real world, quantum mechanics or local hidden variable model[4]. Entanglement as a new resource can not only be applied to information field, such as quantum state telep ...
Quantum Dynamics of Condensates, Atomtronic Systems, and
... gases trapped in an optical lattice are examined from the perspective of nonlinear band theory. The mean-field Gross-Pitaevskii equation is used to model the Bloch waves for weakly and strongly interacting gases with a Kronig-Penney potential, i.e. a lattice of delta functions. The appearance of loo ...
... gases trapped in an optical lattice are examined from the perspective of nonlinear band theory. The mean-field Gross-Pitaevskii equation is used to model the Bloch waves for weakly and strongly interacting gases with a Kronig-Penney potential, i.e. a lattice of delta functions. The appearance of loo ...
Vortex states of a disordered quantum Hall bilayer P. R. Eastham,
... quantum-condensed phases of quasiparticles in solids such as Bose-Einstein condensates of excitons, polaritons, and magnons. A very interesting example1–3 occurs for electron bilayers in the quantum Hall regime. When the two layers are close and have individual filling factors = 1 / 2, the Coulomb ...
... quantum-condensed phases of quasiparticles in solids such as Bose-Einstein condensates of excitons, polaritons, and magnons. A very interesting example1–3 occurs for electron bilayers in the quantum Hall regime. When the two layers are close and have individual filling factors = 1 / 2, the Coulomb ...
Design of beam splitters and microlasers using
... steps the whole cavity region (normally in steps of 2.5 mm) for each value of frequency in the range 1–18.75 GHz. A vector network analyzer is used to measure reflection in each of the antennas as well as transmission between them. Using the methods developed in [8] the modulus and sign of the wave ...
... steps the whole cavity region (normally in steps of 2.5 mm) for each value of frequency in the range 1–18.75 GHz. A vector network analyzer is used to measure reflection in each of the antennas as well as transmission between them. Using the methods developed in [8] the modulus and sign of the wave ...
Simulation of motion and radiative decay and magnetic fields
... not be clear that adding both fields together leads to a situation that should be studied theoretically. Motivated by the prospect of detailed experiments [12], we have investigated this system using physically relevant parameters. We have found the case of similar strength electric and magnetic fie ...
... not be clear that adding both fields together leads to a situation that should be studied theoretically. Motivated by the prospect of detailed experiments [12], we have investigated this system using physically relevant parameters. We have found the case of similar strength electric and magnetic fie ...
98, 010506 (2007)
... using 40 K atoms, although the technique is applicable to other species as well. Suppose the atoms in the superfluid are in the 42 S1=2 hyperfine ground state jii jF 9=2; mF 7=2i in the case of p-wave resonance [9]. To determine whether there is an unpaired atom inside a composite vortex, a t ...
... using 40 K atoms, although the technique is applicable to other species as well. Suppose the atoms in the superfluid are in the 42 S1=2 hyperfine ground state jii jF 9=2; mF 7=2i in the case of p-wave resonance [9]. To determine whether there is an unpaired atom inside a composite vortex, a t ...
Cloaking of Matter Waves
... matter wave (or particles) with incident energy different from the designed energy will suffer a level of distortion as it passes through the system, with a deflection angle given 2 r1 B p . This effect is shown by 20 p2C cos1 2C=r B2 4AC in Figs. 2(b) and 2(c) where ...
... matter wave (or particles) with incident energy different from the designed energy will suffer a level of distortion as it passes through the system, with a deflection angle given 2 r1 B p . This effect is shown by 20 p2C cos1 2C=r B2 4AC in Figs. 2(b) and 2(c) where ...
99, 110403 (2007).
... dynamics of a Fermi gas confined in a two-dimensional harmonic trap and in the presence of a simple SO interaction term. We find that the spin polarization may show two qualitatively different behaviors dependent on the strength of the SO coupling and on the number of particles. In the strong coupli ...
... dynamics of a Fermi gas confined in a two-dimensional harmonic trap and in the presence of a simple SO interaction term. We find that the spin polarization may show two qualitatively different behaviors dependent on the strength of the SO coupling and on the number of particles. In the strong coupli ...