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Apr
7
answered Slater determinant space vs real space
Apr
3
revised Bohr-van Leeuwen theorem and quantum mechanics
added 40 characters in body
Apr
3
answered Bohr-van Leeuwen theorem and quantum mechanics
Mar
31
comment Aharonov-Casher effect for charged particles
@rubenvb:I have added an update answering your question.
Mar
31
revised Aharonov-Casher effect for charged particles
added 1562 characters in body
Mar
31
answered How to understand worldsheet fermion as a section?
Mar
20
comment Validity of naively computing the de Broglie wavelength of a macroscopic object
@John Rennie You are correct, but I don't know if it is due to the present limitations in knowledge or technology or there is a fundamental theoretical limitation of decoherence. In the first case it might be possible in the future to increase the experimental bounds where interference is observable.
Mar
20
comment Validity of naively computing the de Broglie wavelength of a macroscopic object
Anna cont. It is true that in the composite case the decoherence conditions are harder to achieve, because not only can this system loose coherence by being "kicked" by interacting particles but also it can loose coherence by random excitations of its internal degrees of freedom for example when the thermal excitations exceed its vibrational energies.
Mar
20
comment Validity of naively computing the de Broglie wavelength of a macroscopic object
@Anna cont. When conditions are provided such that the system stays in a single (ground state) internal state, it is possible to approximate it by its center of mass quantum dynamics governed by its de Broglie wavelength, for example in the case of the buckyball and other large molecule interferometry.
Mar
20
comment Validity of naively computing the de Broglie wavelength of a macroscopic object
@Anna What I tried to emphasize is that the de Broglie wavelength is a property of a free degree of freedom. The internal state of the composite system is not free and will not be characterized with its constituents de Broglie wavelengths but rather with its bound state energies for example its vibrational modes.
Mar
20
revised Validity of naively computing the de Broglie wavelength of a macroscopic object
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Mar
20
revised Validity of naively computing the de Broglie wavelength of a macroscopic object
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Mar
20
answered Validity of naively computing the de Broglie wavelength of a macroscopic object
Mar
20
comment Weyl Ordering Rule
@Ome cont. Please see also the following essay on the subject by Terence Tao: terrytao.wordpress.com/2012/10/07/…
Mar
20
comment Weyl Ordering Rule
@Ome Please see the following concise review: docs.google.com/….
Mar
20
comment Weyl Ordering Rule
@Ome The variables x and k are just dummy integration variables. The integration variables are between minus and plus infinity (This is just a Fourier transform).
Mar
19
comment How to measure a qubit in a random basis
@Niel de Beaudrap The height $z$ is uniformly distributed, $\theta$ is not uniformly distributed. The surface area of all bands $z = z_0\pm\epsilon$ is equal $4 \pi \epsilon$. Please see mathworld.wolfram.com/Zone.html. This is the Archimedes' spherical sampling theorem
Mar
19
answered How to measure a qubit in a random basis
Mar
19
answered Weyl Ordering Rule
Mar
14
answered Aharonov-Casher effect for charged particles