Quantum Gaussian Noise - Research Laboratory of Electronics
... frequency ω rad/s, it can then be characterized by a positive-frequency, complex-field envelope E(t) such that P (t) ≡ h̄ω|E(t)|2 is the short-time-average power falling on the sensitive region of the detector at time t. Here, h̄ is Planck’s constant divided by 2π, and so h̄ω is the photon energy at ...
... frequency ω rad/s, it can then be characterized by a positive-frequency, complex-field envelope E(t) such that P (t) ≡ h̄ω|E(t)|2 is the short-time-average power falling on the sensitive region of the detector at time t. Here, h̄ is Planck’s constant divided by 2π, and so h̄ω is the photon energy at ...
Alternative Approach to Time Evaluation of Schrödinger Wave
... “time” and “space” are continuous and completely independent variables and no scientific relation between time and position can be defined no matter if the particle is free or confined. The theory also assumes that quantum particles are solid spheres, however the particles are also somehow accompani ...
... “time” and “space” are continuous and completely independent variables and no scientific relation between time and position can be defined no matter if the particle is free or confined. The theory also assumes that quantum particles are solid spheres, however the particles are also somehow accompani ...
Simple Resonance Hierarchy for Surmounting Quantum Uncertainty
... amenable to a resonant hierarchy of coherently controlled topological interactions able to undergo what Toffoli calls ‘topological switching’ [14] as the energyless basis for the Micromagnetics of information exchange. Finally to complete the concatenation we utilize theoretical concepts associated ...
... amenable to a resonant hierarchy of coherently controlled topological interactions able to undergo what Toffoli calls ‘topological switching’ [14] as the energyless basis for the Micromagnetics of information exchange. Finally to complete the concatenation we utilize theoretical concepts associated ...
LECTURES ON SYMPLECTIC REFLECTION ALGEBRAS 12. Calogero-Moser systems and quantum mechanics X
... constant, a purely imaginary number with very small absolute value. Classical and quantum systems should correspond to each other: relatively large objects like insects or planets should obey classical laws, while quantum effects only appear for small objects, such as electrons. So one should be able ...
... constant, a purely imaginary number with very small absolute value. Classical and quantum systems should correspond to each other: relatively large objects like insects or planets should obey classical laws, while quantum effects only appear for small objects, such as electrons. So one should be able ...
The Use of Fock Spaces in Quantum Mechanics
... A Fock space for bosons is the Hilbert space completion of the direct sum of the symmetric tensors in the tensor powers of a single-particle Hilbert space; while a Fock space for fermions uses anti-symmetric tensors. For the sake of simplicity, in this talk I will focus on the bosonic Fock space. ...
... A Fock space for bosons is the Hilbert space completion of the direct sum of the symmetric tensors in the tensor powers of a single-particle Hilbert space; while a Fock space for fermions uses anti-symmetric tensors. For the sake of simplicity, in this talk I will focus on the bosonic Fock space. ...
8. Superfluid to Mott-insulator transition
... Resulting potential consists of a simple cubic lattice where the BEC coherently populates about 100,000 lattice sites. ...
... Resulting potential consists of a simple cubic lattice where the BEC coherently populates about 100,000 lattice sites. ...
On the Problem of Hidden Variables in Quantum Mechanics
... At first sight the required additivity of expectation values seems very reasonable, and it is rather the nonadditivity of allowed values (eigenvalues) which requires explanation. Of course the explanation is well known: A measurement of a sum of noncommuting observables cannot be made by combining t ...
... At first sight the required additivity of expectation values seems very reasonable, and it is rather the nonadditivity of allowed values (eigenvalues) which requires explanation. Of course the explanation is well known: A measurement of a sum of noncommuting observables cannot be made by combining t ...
Microscopic quantum coherence in a photosynthetic-light
... of fake decoherence is to interpret the result of an ensemble average over different noisy realizations of a system as the description of a decoherence process. As was mentioned earlier, the density matrix formalism is often used to describe a true physical ensemble, i.e. a collection of multiple ph ...
... of fake decoherence is to interpret the result of an ensemble average over different noisy realizations of a system as the description of a decoherence process. As was mentioned earlier, the density matrix formalism is often used to describe a true physical ensemble, i.e. a collection of multiple ph ...
Slide 1
... Zero-Point Oscillations Consider a classical particle which oscillates in a quadratic potential well. Its equilibrium position, X=0, corresponds to the potential minimum E=min{U(x)}. A quantum particle can not be localized in space. Some “residual oscillations" are left even in the ground states. Su ...
... Zero-Point Oscillations Consider a classical particle which oscillates in a quadratic potential well. Its equilibrium position, X=0, corresponds to the potential minimum E=min{U(x)}. A quantum particle can not be localized in space. Some “residual oscillations" are left even in the ground states. Su ...
Paper
... that g (2) (r 1 ,r 2 ) depends only on r 1 2r 2 . For a pure condensate, g (2) (0)51, and Eq. ~2! reduces to the normal expression for the mean field energy used in the nonlinear Schrödinger equation @15#. Thus the validity of this equation and of the ‘‘standard’’ mean-field expression for the cond ...
... that g (2) (r 1 ,r 2 ) depends only on r 1 2r 2 . For a pure condensate, g (2) (0)51, and Eq. ~2! reduces to the normal expression for the mean field energy used in the nonlinear Schrödinger equation @15#. Thus the validity of this equation and of the ‘‘standard’’ mean-field expression for the cond ...
Like other physical theories, quantum mechanics deals with
... extent such a view is correct in all cases is far from clear. In well-behaved physical systems, solutions to Newton’s Equation of Motion exist and are unique, and problematic cases are usually solved by appealing to physical intuition (Symon, K. R., (1960): 23-4). Nevertheless, it is possible to co ...
... extent such a view is correct in all cases is far from clear. In well-behaved physical systems, solutions to Newton’s Equation of Motion exist and are unique, and problematic cases are usually solved by appealing to physical intuition (Symon, K. R., (1960): 23-4). Nevertheless, it is possible to co ...
`Quantum Cheshire Cat`as Simple Quantum Interference
... displaced up by δy ) and, at the same time, there is positive angular momentum on the right arm of the interferometer (the beam was displaced sideways by δx ). However, as pointed out in our calculations, the probability of finding the photons at this particular range of positions can be interpreted ...
... displaced up by δy ) and, at the same time, there is positive angular momentum on the right arm of the interferometer (the beam was displaced sideways by δx ). However, as pointed out in our calculations, the probability of finding the photons at this particular range of positions can be interpreted ...
The Unruh effect revisited
... the detector? And how can the excitation of the detector be accompanied by the emission of a Minkowski particle, since the field is in its vacuum state? ANSWER: Because the detector is accelerating, energy is put into the system that can be transfered to the field. So simultaneous excitation of the ...
... the detector? And how can the excitation of the detector be accompanied by the emission of a Minkowski particle, since the field is in its vacuum state? ANSWER: Because the detector is accelerating, energy is put into the system that can be transfered to the field. So simultaneous excitation of the ...
The concept of the photon—revisited
... we are to assume that it spends only a minute fraction of its existence as a carrier of radiant energy, while the rest of the time it remains as an important structural element within the atom... I therefore take the liberty of proposing for this hypothetical new atom, which is not light but plays a ...
... we are to assume that it spends only a minute fraction of its existence as a carrier of radiant energy, while the rest of the time it remains as an important structural element within the atom... I therefore take the liberty of proposing for this hypothetical new atom, which is not light but plays a ...
The SO(4) Symmetry of the Hydrogen Atom
... this problem are of course known exactly. We shall demonstrate an alternative approach to this problem that was apparently originally developed by Pauli and Fock [6, 5]. Aside from being “elegant,” this new approach gives insight into a so called “hidden symmetry” of the hydrogen atom. In short, we ...
... this problem are of course known exactly. We shall demonstrate an alternative approach to this problem that was apparently originally developed by Pauli and Fock [6, 5]. Aside from being “elegant,” this new approach gives insight into a so called “hidden symmetry” of the hydrogen atom. In short, we ...