quantum - UCI Physics and Astronomy
... Knowing the position and velocity of all objects at a particular time Future can be predicted using known laws of force and Newton's laws of motion. Quantum World is Probabilistic: Impossible to know position and velocity with certainty at a given time. ...
... Knowing the position and velocity of all objects at a particular time Future can be predicted using known laws of force and Newton's laws of motion. Quantum World is Probabilistic: Impossible to know position and velocity with certainty at a given time. ...
Final Review: Problems
... a. Does the object accelerate? b. If so, what is the direction of the acceleration? 31. When an object moves in a circular path, a. Is there a net force acting on the object? b. If so, what is the name of the net force? 32. A turntable makes 10 rotations in 30 seconds. a. What is the period? b. What ...
... a. Does the object accelerate? b. If so, what is the direction of the acceleration? 31. When an object moves in a circular path, a. Is there a net force acting on the object? b. If so, what is the name of the net force? 32. A turntable makes 10 rotations in 30 seconds. a. What is the period? b. What ...
Introduction to the Physics of Waves and Sound
... If the piston is made to oscillate sinusoidally (see section 2 of this paper), regions of compression are set up in the gas. The distance between two successive compressions equals the wavelength λ of the wave. As these regions travel through the tube, any small element of the medium moves with sim ...
... If the piston is made to oscillate sinusoidally (see section 2 of this paper), regions of compression are set up in the gas. The distance between two successive compressions equals the wavelength λ of the wave. As these regions travel through the tube, any small element of the medium moves with sim ...
Fredericks transitions induced by light fields
... interaction was found" between a normally incident light wave and a homeotropically oriented cell of the liquid crystal (OCBP),and had a characteristic threshold dependence on the intensity of the l a s e r beam. This effect was explained qualitatively in Ref. 11 on the basis of an analogy with the ...
... interaction was found" between a normally incident light wave and a homeotropically oriented cell of the liquid crystal (OCBP),and had a characteristic threshold dependence on the intensity of the l a s e r beam. This effect was explained qualitatively in Ref. 11 on the basis of an analogy with the ...
2005 Pearson Prentice Hall This work is protected by
... the use of instructors in teaching their courses and assessing student learning. Dissemination or sale of any part of this work (including on the World Wide Web) will destroy the integrity of the work and is not permitted. The work and materials from it should never be made available to students exc ...
... the use of instructors in teaching their courses and assessing student learning. Dissemination or sale of any part of this work (including on the World Wide Web) will destroy the integrity of the work and is not permitted. The work and materials from it should never be made available to students exc ...
Wave packet
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In physics, a wave packet (or wave train) is a short ""burst"" or ""envelope"" of localized wave action that travels as a unit. A wave packet can be analyzed into, or can be synthesized from, an infinite set of component sinusoidal waves of different wavenumbers, with phases and amplitudes such that they interfere constructively only over a small region of space, and destructively elsewhere. Each component wave function, and hence the wave packet, are solutions of a wave equation. Depending on the wave equation, the wave packet's profile may remain constant (no dispersion, see figure) or it may change (dispersion) while propagating.Quantum mechanics ascribes a special significance to the wave packet; it is interpreted as a probability amplitude, its norm squared describing the probability density that a particle or particles in a particular state will be measured to have a given position or momentum. The wave equation is in this case the Schrödinger equation. It is possible to deduce the time evolution of a quantum mechanical system, similar to the process of the Hamiltonian formalism in classical mechanics. The dispersive character of solutions of the Schrödinger equation has played an important role in rejecting Schrödinger's original interpretation, and accepting the Born rule.In the coordinate representation of the wave (such as the Cartesian coordinate system), the position of the physical object's localized probability is specified by the position of the packet solution. Moreover, the narrower the spatial wave packet, and therefore the better localized the position of the wave packet, the larger the spread in the momentum of the wave. This trade-off between spread in position and spread in momentum is a characteristic feature of the Heisenberg uncertainty principle,and will be illustrated below.