SCE 18 – Part 1
... Planck’s view of Planck’s equation Max Planck was absolutely clear that his equation was no more than a fit to experiment without a theoretical basis. “ a fortunate guess” Planck was a reluctant revolutionary: worked hard to prove that h in E = h must be zero – then the quantum would disappear. Wh ...
... Planck’s view of Planck’s equation Max Planck was absolutely clear that his equation was no more than a fit to experiment without a theoretical basis. “ a fortunate guess” Planck was a reluctant revolutionary: worked hard to prove that h in E = h must be zero – then the quantum would disappear. Wh ...
Photon localizability - Current research interest: photon position
... space in nonzero. Due to interference there exists a single instant when QM says that the photon can be detected at only one place. But this is just familiar spooky quantum mechanics, and I think the effect is physically real. ...
... space in nonzero. Due to interference there exists a single instant when QM says that the photon can be detected at only one place. But this is just familiar spooky quantum mechanics, and I think the effect is physically real. ...
Propagation of double Rydberg wave packets F Robicheaux and R C Forrey doi:10.1088/0953-4075/38/2/027
... works perfectly well for time-independent calculations of resonance parameters, it works very poorly for this time-dependent problem. The reason is that unless |β| is larger than ∼1.7 there are always some eigenvalues of the time-independent problem that have positive imaginary parts which causes an ...
... works perfectly well for time-independent calculations of resonance parameters, it works very poorly for this time-dependent problem. The reason is that unless |β| is larger than ∼1.7 there are always some eigenvalues of the time-independent problem that have positive imaginary parts which causes an ...
Simulating Physics with Computers Richard P. Feynman
... function assigning a value to every basis configuration. The number of states is thus exponential in the size of the system. ...
... function assigning a value to every basis configuration. The number of states is thus exponential in the size of the system. ...
PDF
... where the factor M in the exponential is a peculiar signature of the energy entanglement. The time t 0 for which this quantity is value of T⊥ for the state |Ψent is given by the smallest ...
... where the factor M in the exponential is a peculiar signature of the energy entanglement. The time t 0 for which this quantity is value of T⊥ for the state |Ψent is given by the smallest ...
Monday, Apr. 14, 2014
... Consider a particle passing through a potential well region rather than through a potential barrier. Classically, the particle would speed up passing the well region, because K = mv2 / 2 = E - V0. According to quantum mechanics, reflection and transmission may occur, but the wavelength inside the po ...
... Consider a particle passing through a potential well region rather than through a potential barrier. Classically, the particle would speed up passing the well region, because K = mv2 / 2 = E - V0. According to quantum mechanics, reflection and transmission may occur, but the wavelength inside the po ...
Word
... It is generally no longer consistent to talk of individual entities possessing a value for an observable: it is more as if the property concerned is latent in the system until such time as an observation brings it into being. As John Bell has put it, "beables" are replaced by "observables," and the ...
... It is generally no longer consistent to talk of individual entities possessing a value for an observable: it is more as if the property concerned is latent in the system until such time as an observation brings it into being. As John Bell has put it, "beables" are replaced by "observables," and the ...
Particle in a box
In quantum mechanics, the particle in a box model (also known as the infinite potential well or the infinite square well) describes a particle free to move in a small space surrounded by impenetrable barriers. The model is mainly used as a hypothetical example to illustrate the differences between classical and quantum systems. In classical systems, for example a ball trapped inside a large box, the particle can move at any speed within the box and it is no more likely to be found at one position than another. However, when the well becomes very narrow (on the scale of a few nanometers), quantum effects become important. The particle may only occupy certain positive energy levels. Likewise, it can never have zero energy, meaning that the particle can never ""sit still"". Additionally, it is more likely to be found at certain positions than at others, depending on its energy level. The particle may never be detected at certain positions, known as spatial nodes.The particle in a box model provides one of the very few problems in quantum mechanics which can be solved analytically, without approximations. This means that the observable properties of the particle (such as its energy and position) are related to the mass of the particle and the width of the well by simple mathematical expressions. Due to its simplicity, the model allows insight into quantum effects without the need for complicated mathematics. It is one of the first quantum mechanics problems taught in undergraduate physics courses, and it is commonly used as an approximation for more complicated quantum systems.