The Universal Uncertainty Principle v1
... This paper is concerned with a generalization of the Heisenberg’s uncertainty principle which I developed in 2012 and that I called the universal uncertainty principle. This principle takes into account a) the quantized nature of space and b) the quantum fluctuations of the empty space. I have appli ...
... This paper is concerned with a generalization of the Heisenberg’s uncertainty principle which I developed in 2012 and that I called the universal uncertainty principle. This principle takes into account a) the quantized nature of space and b) the quantum fluctuations of the empty space. I have appli ...
Workshop on Spectral Geometry General Information
... minimal submanifolds in the unit sphere, we show that their first eigenvalues are also equal to their dimensions in the non-stable range. Moreover, we give some estimate on ...
... minimal submanifolds in the unit sphere, we show that their first eigenvalues are also equal to their dimensions in the non-stable range. Moreover, we give some estimate on ...
Wigner functions for arbitrary quantum systems
... Out of all available choices, one can argue that the Wigner function [1] presents the most natural phase-space representation of quantum mechanics [2]. The main advantage is that it simultaneously retains the intuitiveness with respect to classical phase-space while rendering clearly, important quan ...
... Out of all available choices, one can argue that the Wigner function [1] presents the most natural phase-space representation of quantum mechanics [2]. The main advantage is that it simultaneously retains the intuitiveness with respect to classical phase-space while rendering clearly, important quan ...
Supersymmetric quantum mechanics and new potentials
... From the potentials studied (particle in the box, Poschl-Teller and RosenMorse) we obtained new potentials (eq. (22), (32) and (43)), which are different from the original ones, but whose spectra and eigenfunctions are known. The relation between the old system and the new one is established through ...
... From the potentials studied (particle in the box, Poschl-Teller and RosenMorse) we obtained new potentials (eq. (22), (32) and (43)), which are different from the original ones, but whose spectra and eigenfunctions are known. The relation between the old system and the new one is established through ...
Vacuum-induced Stark shifts for quantum logic using a collective
... three atoms. The two-qubit gate thus obtained consists solely of the collective three-atom interaction and single-qubit rotations. In particular, we do not use any techniques involving other auxiliary states to select pairs of atoms to interact, as it is common in the literature of cavity QED quantu ...
... three atoms. The two-qubit gate thus obtained consists solely of the collective three-atom interaction and single-qubit rotations. In particular, we do not use any techniques involving other auxiliary states to select pairs of atoms to interact, as it is common in the literature of cavity QED quantu ...
Dephasing and the Orthogonality Catastrophe in Tunneling through a Quantum... The “Which Path?” Interferometer
... electron-hole pair creation in the wire. The simple estimate (2), however, neglects the effect of virtual electronhole pairs. The latter do not directly cause decoherence, but they decrease the transmission amplitude through the QD. These virtual processes result in power-law suppression of the Ahar ...
... electron-hole pair creation in the wire. The simple estimate (2), however, neglects the effect of virtual electronhole pairs. The latter do not directly cause decoherence, but they decrease the transmission amplitude through the QD. These virtual processes result in power-law suppression of the Ahar ...
Cold Electron Quantum Mechanical Model for Superconductivity
... both ends of the orbit; the between electrons is still in a far distance. On the other hand, the coupling degree between the electron orbits is temperature gradient. So the formation of Cooper pair of electron has no absolute criterion. The magnetism of perfect coupling Cooper pair would be complete ...
... both ends of the orbit; the between electrons is still in a far distance. On the other hand, the coupling degree between the electron orbits is temperature gradient. So the formation of Cooper pair of electron has no absolute criterion. The magnetism of perfect coupling Cooper pair would be complete ...
Abstract book - Nonequilibrim Phenomena in Quantum Systems
... the realization of novel states of matter. In this talk, we will discuss how it can lead to the generation of time-evolving states that are eigenstates of emergent local Hamiltonians, not trivially related to the ones dictating the time evolution. We study geometric quenches in interacting fermionic ...
... the realization of novel states of matter. In this talk, we will discuss how it can lead to the generation of time-evolving states that are eigenstates of emergent local Hamiltonians, not trivially related to the ones dictating the time evolution. We study geometric quenches in interacting fermionic ...
Bohmian Trajectories of the Two-Electron Helium Atom
... the wavefunction as giving a measure of the relative probability of finding the system at a particular point in configuration space. The constancy of the norm of the wavefunction then expressed the fact that there is always a probability equal to unity of finding the system at some point in configu ...
... the wavefunction as giving a measure of the relative probability of finding the system at a particular point in configuration space. The constancy of the norm of the wavefunction then expressed the fact that there is always a probability equal to unity of finding the system at some point in configu ...
Quantum Mechanics in One Dimension
... any subsequent time t. The wavefunction ⌿(x, 0) represents the initial information that must be specified; once this is known, however, the wave propagates according to prescribed laws of nature. Because it describes how a given system evolves, quantum mechanics is a dynamical theory much like Newto ...
... any subsequent time t. The wavefunction ⌿(x, 0) represents the initial information that must be specified; once this is known, however, the wave propagates according to prescribed laws of nature. Because it describes how a given system evolves, quantum mechanics is a dynamical theory much like Newto ...
Heisenberg (and Schrödinger, and Pauli) on Hidden - Hal-SHS
... presented their still quite opposing views on wave mechanics and quantum mechanics, respectively, and in the sidelines Bohr and Einstein engaged in informal discussions that have become famous in their own right.5 Born and Heisenberg’s (1928) report contains arguably the most detailed presentation o ...
... presented their still quite opposing views on wave mechanics and quantum mechanics, respectively, and in the sidelines Bohr and Einstein engaged in informal discussions that have become famous in their own right.5 Born and Heisenberg’s (1928) report contains arguably the most detailed presentation o ...
A Formal Cause Beyond Space and Time
... leaping over if there is no space between the two orbits at all? In either possibility, we cannot describe a path of an electron in the hydrogen atom, and the concept of motion can no longer be applied to describe the elementary particles. That is why Bohr writes “we stand here almost entirely on vi ...
... leaping over if there is no space between the two orbits at all? In either possibility, we cannot describe a path of an electron in the hydrogen atom, and the concept of motion can no longer be applied to describe the elementary particles. That is why Bohr writes “we stand here almost entirely on vi ...
Ex. = 1s 1 , 0 to (1-1)
... In the first state there is one city. In this first city there would be one street. In the second state there are two cities. The first city with its one street and a second city with its 3 streets for a total of 4. In the 3rd state would have the previous 4 streets plus 5 more streets from the 3rd ...
... In the first state there is one city. In this first city there would be one street. In the second state there are two cities. The first city with its one street and a second city with its 3 streets for a total of 4. In the 3rd state would have the previous 4 streets plus 5 more streets from the 3rd ...
Correlation Functions and Diagrams
... for operators other than φ (e.g. φ2 or ∂µ φ) by adding additional sources for them in the Lagrangian. For operators that are already present in the Lagrangian, this is equivalent to allowing the coupling constants to depend on spacetime. For example, the operator 21 φ2 can be defined by promoting th ...
... for operators other than φ (e.g. φ2 or ∂µ φ) by adding additional sources for them in the Lagrangian. For operators that are already present in the Lagrangian, this is equivalent to allowing the coupling constants to depend on spacetime. For example, the operator 21 φ2 can be defined by promoting th ...
Full-text PDF - American Mathematical Society
... The discussion above applies with almost no changes when Ω is replaced by a compact Riemannian manifold (M, g), which for simplicity we assume has no boundary. The Laplacian is replaced by the Laplace-Beltrami operator g for the metric and the classical mechanics is that of motion by geodesics on X ...
... The discussion above applies with almost no changes when Ω is replaced by a compact Riemannian manifold (M, g), which for simplicity we assume has no boundary. The Laplacian is replaced by the Laplace-Beltrami operator g for the metric and the classical mechanics is that of motion by geodesics on X ...
Randomness in (Quantum) Information Processing
... The second, and equally important, reason to study quantum information processing is that it is a generalization of classical information processing. It addresses all problems of information processing, but the main difference lies in the model of information, communication and computation. The quan ...
... The second, and equally important, reason to study quantum information processing is that it is a generalization of classical information processing. It addresses all problems of information processing, but the main difference lies in the model of information, communication and computation. The quan ...
The Bethe ansatz after 75 years
... The wavefunction for a single quasiparticle looks very much like the wavefunction for a free particle in a ring: a plane wave of the form exp(ikx), with an energy that depends on the wavenumber k, which itself must be an integer multiple of 2π/L. Eigenstates with two or more particles are more compl ...
... The wavefunction for a single quasiparticle looks very much like the wavefunction for a free particle in a ring: a plane wave of the form exp(ikx), with an energy that depends on the wavenumber k, which itself must be an integer multiple of 2π/L. Eigenstates with two or more particles are more compl ...
Quantum Computing
... This thesis arose in the 1930's, and was motivated by the realization that three apparently quite distinct de nitions of computable functions were all equivalent. It is well known that Church's thesis is not a theorem, because it does not specify a rigorous mathematical de nition of \computable"; sp ...
... This thesis arose in the 1930's, and was motivated by the realization that three apparently quite distinct de nitions of computable functions were all equivalent. It is well known that Church's thesis is not a theorem, because it does not specify a rigorous mathematical de nition of \computable"; sp ...
Quantum Entanglement, Nonlocality, and Back-In
... Quantum Entanglement, Nonlocality, and Back-In-Time Messages John G. Cramer Professor Emeritus of Physics University of Washington Norwescon 33 April 3, 2010 ...
... Quantum Entanglement, Nonlocality, and Back-In-Time Messages John G. Cramer Professor Emeritus of Physics University of Washington Norwescon 33 April 3, 2010 ...