Potential Step: Griffiths Problem 2.33 Prelude: Note that the time
... This second-order differential equation is difficult to solve even for simple potentials encountered in classical mechanics, e.g., a charged particle in a constant electric field, V (x) = −qEx which leads to a constant force (i.e., constant acceleration, x = x0 + v0 t + (1/2)at2 and all that!) or th ...
... This second-order differential equation is difficult to solve even for simple potentials encountered in classical mechanics, e.g., a charged particle in a constant electric field, V (x) = −qEx which leads to a constant force (i.e., constant acceleration, x = x0 + v0 t + (1/2)at2 and all that!) or th ...
Simulation programs for teaching quantum mechanics
... The double-slit The famous double-slit experiment is especially bewildering when done with single photons. This applet shows what happens with a single electron – modelled as usual by a Gaussian wave function – that is going through a double-slit (cf. Fig. 1). The resulting simulation shows a wealth ...
... The double-slit The famous double-slit experiment is especially bewildering when done with single photons. This applet shows what happens with a single electron – modelled as usual by a Gaussian wave function – that is going through a double-slit (cf. Fig. 1). The resulting simulation shows a wealth ...
The hydrogen line spectrum explained as Raman shift
... In Bohr’s model of the hydrogen atom, an electron is moving in a certain (allowed) orbit around the nucleus, which is the proton. An energy input excites the atom as follows: The electron gains energy and its orbit is grows. But for the energy only certain energy levels are allowed which correspond ...
... In Bohr’s model of the hydrogen atom, an electron is moving in a certain (allowed) orbit around the nucleus, which is the proton. An energy input excites the atom as follows: The electron gains energy and its orbit is grows. But for the energy only certain energy levels are allowed which correspond ...
Problem set 9
... has mean momentum hpi = ~k0 at t = 0. Write down ψ̃(k, t = 0) and then obtain ψ̃(k, t) in the energy/momentum basis. h3i 2. Find hpi at t > 0. hpi is most easily calculated in the momentum basis. h4i 3. Calculate h x̂i at time t in the above gaussian wave packet. Since ψ̃(k, t) is known, it is good ...
... has mean momentum hpi = ~k0 at t = 0. Write down ψ̃(k, t = 0) and then obtain ψ̃(k, t) in the energy/momentum basis. h3i 2. Find hpi at t > 0. hpi is most easily calculated in the momentum basis. h4i 3. Calculate h x̂i at time t in the above gaussian wave packet. Since ψ̃(k, t) is known, it is good ...
Optical Quantum Information Processing
... The basic idea –> transfer the (infinite) amount of information in a qubit from Alice to Bob without sending the qubit itself. Requires Alice and Bob to share entanglement: ...
... The basic idea –> transfer the (infinite) amount of information in a qubit from Alice to Bob without sending the qubit itself. Requires Alice and Bob to share entanglement: ...
A Brief History of Modern Physics and the development of the
... models simply don't apply at the level of atoms. There may be no hope of understanding "what is really going on" in atoms because our brains are not built for that job. All we can know are the results of measurements made with macroscopic instruments. This view, that the wave function provides proba ...
... models simply don't apply at the level of atoms. There may be no hope of understanding "what is really going on" in atoms because our brains are not built for that job. All we can know are the results of measurements made with macroscopic instruments. This view, that the wave function provides proba ...
A paradox in quantum measurement theory - Philsci
... real, they would represent a real non-local causation, not merely the usual non-local correlations found in quantum mechanics. In fact, such effects would make ordinary quantum measurement theory inconsistent. But it would be premature to speculate on the implications of this without independent con ...
... real, they would represent a real non-local causation, not merely the usual non-local correlations found in quantum mechanics. In fact, such effects would make ordinary quantum measurement theory inconsistent. But it would be premature to speculate on the implications of this without independent con ...
Pulsed Energy-Time Entangled Twin
... whole interferometer. The optical circulator C at the input directs the backreflected photons to one detector; a second is located at the output of the interferometer. Both detectors are passively quenched germanium avalanche photodiodes (APD’s) cooled to 77 K. Their quantum efficiency is approximat ...
... whole interferometer. The optical circulator C at the input directs the backreflected photons to one detector; a second is located at the output of the interferometer. Both detectors are passively quenched germanium avalanche photodiodes (APD’s) cooled to 77 K. Their quantum efficiency is approximat ...
Quantum Beat of Two Single Photons
... in mode B emerges from a strongly coupled atom-cavity system, which is driven in a way that the photon is deterministically generated by a vacuum-stimulated Raman transition between two long-lived atomic states [4,5]. In particular, the photon emitted from B matches the photon from A. The initial st ...
... in mode B emerges from a strongly coupled atom-cavity system, which is driven in a way that the photon is deterministically generated by a vacuum-stimulated Raman transition between two long-lived atomic states [4,5]. In particular, the photon emitted from B matches the photon from A. The initial st ...
www.osa-opn.org 36 | OPN Optics & Photonics News Illustration by Phil Saunders/ spacechannel.org
... TOSPDC processes. The image below shows transverse position/momentum (including the an energy, or frequency, diagram indicating specific case of orbital angular momentum), the participating modes for the SPDC, SFWM and TOSPand in frequency/time, as well as sources of hyper-entangled DC processes. ph ...
... TOSPDC processes. The image below shows transverse position/momentum (including the an energy, or frequency, diagram indicating specific case of orbital angular momentum), the participating modes for the SPDC, SFWM and TOSPand in frequency/time, as well as sources of hyper-entangled DC processes. ph ...
Solutions to the exam itself are now available.
... (c) You now know n, but not l or m for this atom. Calculate the maximum average radius this atom could have, and in doing so, tell me what l and m values lead to this maximum value. (If you didn’t get a value for n in part (b), assume n = 100, which isn’t the answer to part (b).) If n is this huge n ...
... (c) You now know n, but not l or m for this atom. Calculate the maximum average radius this atom could have, and in doing so, tell me what l and m values lead to this maximum value. (If you didn’t get a value for n in part (b), assume n = 100, which isn’t the answer to part (b).) If n is this huge n ...
`Quantum Cheshire Cat`as Simple Quantum Interference
... According to the arguments of [12, 14], this result is compatible with the situation where the photon is measured in the left arm of the interferometer (the beam was displaced up by δy ) and, at the same time, there is positive angular momentum on the right arm of the interferometer (the beam was di ...
... According to the arguments of [12, 14], this result is compatible with the situation where the photon is measured in the left arm of the interferometer (the beam was displaced up by δy ) and, at the same time, there is positive angular momentum on the right arm of the interferometer (the beam was di ...
ps700-coll2-hayden
... went through his talk, every slide had something to help you better understand what he was talking about and I felt that lay and scientists alike could enjoy what they were seeing. His talk was vibrant and passionate, one clearly being able to see his own interest in the subject, but keeping it ligh ...
... went through his talk, every slide had something to help you better understand what he was talking about and I felt that lay and scientists alike could enjoy what they were seeing. His talk was vibrant and passionate, one clearly being able to see his own interest in the subject, but keeping it ligh ...
PHOTON WAVE MECHANICS: A DE BROGLIE
... The classical limit is recovered when the internal motion is negligible with respect to the drift one which is entirely ruled by classical mechanics. The probabilistic interpretation, peculiar of all quantum phenomena, has a natural assessment too. In fact, assuming that initial conditions can be as ...
... The classical limit is recovered when the internal motion is negligible with respect to the drift one which is entirely ruled by classical mechanics. The probabilistic interpretation, peculiar of all quantum phenomena, has a natural assessment too. In fact, assuming that initial conditions can be as ...
Document
... Weak measurements: from the 3-box problem to Hardy's Paradox to the which-path debate • The 3-box problem • Another case where airtight classical reasoning yields seemingly contradictory information • Experimental consequences of this information • Actual experiment! • Weak measurements shed light o ...
... Weak measurements: from the 3-box problem to Hardy's Paradox to the which-path debate • The 3-box problem • Another case where airtight classical reasoning yields seemingly contradictory information • Experimental consequences of this information • Actual experiment! • Weak measurements shed light o ...
Laser Physics I
... Our everyday experience of "light" generally encompasses only the small part of the electromagnetic spectrum to which the human eye is sensitive, a wavelength range running roughly from 400 nm to 700 nm. The full electromagnetic spectrum, going from low to high frequencies, is divided into radiowa ...
... Our everyday experience of "light" generally encompasses only the small part of the electromagnetic spectrum to which the human eye is sensitive, a wavelength range running roughly from 400 nm to 700 nm. The full electromagnetic spectrum, going from low to high frequencies, is divided into radiowa ...