Wednesday, March 3, 2010
... inside the potential well is smaller than outside. When the width of the potential well is precisely equal to half-integral or integral units of the wavelength, the reflected waves may be out of phase or in phase with the original wave, and cancellations or resonances may occur. The reflection/cance ...
... inside the potential well is smaller than outside. When the width of the potential well is precisely equal to half-integral or integral units of the wavelength, the reflected waves may be out of phase or in phase with the original wave, and cancellations or resonances may occur. The reflection/cance ...
Lecture 23
... signals that work by using the signal as the driving force for a circuit element that has power fed into it, and can therefore respond with a more powerful signal. The key point is that the amplifier must be able to convert the input power into the frequency determined by the signal. This is usually ...
... signals that work by using the signal as the driving force for a circuit element that has power fed into it, and can therefore respond with a more powerful signal. The key point is that the amplifier must be able to convert the input power into the frequency determined by the signal. This is usually ...
Vibrational motion
... • Mathematical reason: v cannot take negative values, for if it did the wavefunction would be illbehaved. • Physical reason (same as the particle in a square well): the particle is confined, its position not completely uncertain, and its momentum and kinetic energy cannot be exactly zero. • The zero ...
... • Mathematical reason: v cannot take negative values, for if it did the wavefunction would be illbehaved. • Physical reason (same as the particle in a square well): the particle is confined, its position not completely uncertain, and its momentum and kinetic energy cannot be exactly zero. • The zero ...
... transformations, which are related to a constant of motion that depends explicitly on the time (see Sec. 3.1, below). The aim of this paper is to show that, with an appropriate definition of the invariance of a Hamiltonian [that generalizes Eq. (2)], any conserved operator is associated with a group ...
Modern Physics 342
... Show that the average value of x is L/2, for a particle in a box of length L, independent of the quantum state (not quantized). Since the wave function is ...
... Show that the average value of x is L/2, for a particle in a box of length L, independent of the quantum state (not quantized). Since the wave function is ...
Field extension of real values of physical observables in classical
... real and pure imaginary parts could lead to problems in the quantum formalism, as two observations may “interfere” with one another. Inspite of having complex eigenvalues, nonhermitian operators have found several applications [23–33] in studying open quantum systems in nuclear physics [23] and quan ...
... real and pure imaginary parts could lead to problems in the quantum formalism, as two observations may “interfere” with one another. Inspite of having complex eigenvalues, nonhermitian operators have found several applications [23–33] in studying open quantum systems in nuclear physics [23] and quan ...
PDF ∗ , 88K - UCLA Chemistry and Biochemistry
... carbon atoms. To discuss the system quantitatively, yet in simple terms, we model the relevant electronic structure of the chain by a Huckel π-electron Hamiltonian. We take the usual parameters: the energy of each atomic carbon p orbital is a ) -6.6 eV and only nearest neighbor carbon p orbitals are ...
... carbon atoms. To discuss the system quantitatively, yet in simple terms, we model the relevant electronic structure of the chain by a Huckel π-electron Hamiltonian. We take the usual parameters: the energy of each atomic carbon p orbital is a ) -6.6 eV and only nearest neighbor carbon p orbitals are ...
Quantum Information and Randomness - Max-Planck
... the special theory of relativity. While the testable predictions of Bohmian mechanics are isomorphic to standard Copenhagen quantum mechanics, its underlying hidden variables have to be, in principle, unobservable. If one could observe them, one would be able to take advantage of that and signal fas ...
... the special theory of relativity. While the testable predictions of Bohmian mechanics are isomorphic to standard Copenhagen quantum mechanics, its underlying hidden variables have to be, in principle, unobservable. If one could observe them, one would be able to take advantage of that and signal fas ...
PDF Full-text
... discussed in the literature [1,2]. This group has been shown to be one of the essential tools in quantum optics. From the mathematical point of view, the squeezed state in quantum optics is a harmonic oscillator representation of this Sp(2) group [1]. We are interested in this paper in “squeeze tran ...
... discussed in the literature [1,2]. This group has been shown to be one of the essential tools in quantum optics. From the mathematical point of view, the squeezed state in quantum optics is a harmonic oscillator representation of this Sp(2) group [1]. We are interested in this paper in “squeeze tran ...
How Long Can A Pencil Remain Balanced On Its Tip?
... In contrast, when interpreted as a quantum mechanical question, the question has a well defined answer. The pencil falls. Moreover, the greatest time for which the pencil can remain balanced can be calculated. (More precisely, the probability that the pencil has fallen can be calculated for any give ...
... In contrast, when interpreted as a quantum mechanical question, the question has a well defined answer. The pencil falls. Moreover, the greatest time for which the pencil can remain balanced can be calculated. (More precisely, the probability that the pencil has fallen can be calculated for any give ...
The Zeno`s paradox in quantum theory
... and the interaction between them are such as to exclude the possibility of arbitrarily frequent observations. But, on the one hand, we cannot claim as final our present knowledge of the constituents and interactions of the real world. On the other hand, to agree that there is a limitation on the fre ...
... and the interaction between them are such as to exclude the possibility of arbitrarily frequent observations. But, on the one hand, we cannot claim as final our present knowledge of the constituents and interactions of the real world. On the other hand, to agree that there is a limitation on the fre ...
LEP 2.3.01 Diffraction at a slit and Heisenberg`s uncertainty principle
... Heisenberg’s uncertainty principle. Set-up and procedure Different screens with slits (0.1 mm, 0.2 mm and 0.05 mm) are placed in the laser beam one after the other. The distribution of the intesnity in the diffraction pattern is measured with the photo-cell as far behind the slit as possible. A slit ...
... Heisenberg’s uncertainty principle. Set-up and procedure Different screens with slits (0.1 mm, 0.2 mm and 0.05 mm) are placed in the laser beam one after the other. The distribution of the intesnity in the diffraction pattern is measured with the photo-cell as far behind the slit as possible. A slit ...
L14alternative - Particle Physics and Particle Astrophysics
... If you bombard a hydrogen atom with photons of high enough energy to promote the electron from E1 to E3 then sometimes it will do this and other times it wont !!! The same occurs for an electron in an excited state that can either drop down one or more energy levels. We can never know if an individu ...
... If you bombard a hydrogen atom with photons of high enough energy to promote the electron from E1 to E3 then sometimes it will do this and other times it wont !!! The same occurs for an electron in an excited state that can either drop down one or more energy levels. We can never know if an individu ...