Macroscopic Quantum Tunneling in a Josephson Junction Coupled
... We are studying what happens to the JJ when we connect it in parallel to an AlN dilatational resonator. The resonator consists of a piezoelectric crystal between two pieces of metal. The crystal produces a voltage when compressed, and it is compressed when there is a voltage across it. It behaves li ...
... We are studying what happens to the JJ when we connect it in parallel to an AlN dilatational resonator. The resonator consists of a piezoelectric crystal between two pieces of metal. The crystal produces a voltage when compressed, and it is compressed when there is a voltage across it. It behaves li ...
Quantum centipedes with strong global constraint
... distance between the first and last legs are larger than some upper bound S. If the spacing of the one-dimensional lattice serves as the unit distance, the simplest local constraint that still allows the centipede to move is s = 2. The classical dynamics of a centipede with this local constraint has ...
... distance between the first and last legs are larger than some upper bound S. If the spacing of the one-dimensional lattice serves as the unit distance, the simplest local constraint that still allows the centipede to move is s = 2. The classical dynamics of a centipede with this local constraint has ...
Transport properties of quantum-classical systems
... functions have been derived by taking the quantum-classical limit of the quantum correlation function.14 The evaluation of these correlation functions involves forward and backward quantum-classical time evolution of the operators and sampling based on the spectral density that retains the full quan ...
... functions have been derived by taking the quantum-classical limit of the quantum correlation function.14 The evaluation of these correlation functions involves forward and backward quantum-classical time evolution of the operators and sampling based on the spectral density that retains the full quan ...
Trajectory-Wave Approach to Electron Dynamics in Hydrogen Atom
... occur along a trajectory the presence of which is a reflection of the existence of a particle, as well as it is assumed that any motion is defined by a wave V(x,t). It is assumed that there is an explicit relationship between the trajectory and wave equations of the electron, which are established o ...
... occur along a trajectory the presence of which is a reflection of the existence of a particle, as well as it is assumed that any motion is defined by a wave V(x,t). It is assumed that there is an explicit relationship between the trajectory and wave equations of the electron, which are established o ...
Quantum Theory. A Mathematical Approach
... Not surprisingly these three books have a certain amount of overlap. Each has its strong points; they are complementary. This talk is based on my own book. To understand the underlying mathematical structure of the great physical theories, in particular relativity and quantum theory, one needs to kn ...
... Not surprisingly these three books have a certain amount of overlap. Each has its strong points; they are complementary. This talk is based on my own book. To understand the underlying mathematical structure of the great physical theories, in particular relativity and quantum theory, one needs to kn ...
J. von Neumann`s views on mathematical and axiomatic physics
... a Euclidean space to infinitely many dimensions, then one does not obtain Hilbert space, but that configuration, which Murray and I called “case II1 .” (The lattice of all linear closed subspaces of Hilbert-space is our “case I∞ ”.) And this is chiefly due to the presence of the rule a ≤ c → a ∪ (b ...
... a Euclidean space to infinitely many dimensions, then one does not obtain Hilbert space, but that configuration, which Murray and I called “case II1 .” (The lattice of all linear closed subspaces of Hilbert-space is our “case I∞ ”.) And this is chiefly due to the presence of the rule a ≤ c → a ∪ (b ...
Graviton Physics
... The calculation of photon interactions with matter is a staple in an introductory (or advanced) quantum mechanics course. Indeed the evaluation of the Compton scattering cross section is a standard exercise in relativistic quantum mechanics, since gauge invariance together with the masslessness of t ...
... The calculation of photon interactions with matter is a staple in an introductory (or advanced) quantum mechanics course. Indeed the evaluation of the Compton scattering cross section is a standard exercise in relativistic quantum mechanics, since gauge invariance together with the masslessness of t ...
Interaction between quantum dots and superconducting microwave resonators Tobias Frey
... T. Frey, ETH PhD thesis (2013), more details T. Ihn, Oxford University Press (2010) ...
... T. Frey, ETH PhD thesis (2013), more details T. Ihn, Oxford University Press (2010) ...
- Philsci
... be the case. The particle labels might be outright fictions. In fact, given that the labeled tensor product Hilbert Space formalism of many-particle quantum mechanics allows, in virtue of the indices, non-symmetric states that do not occur in nature, it would appear that the labels are not just otio ...
... be the case. The particle labels might be outright fictions. In fact, given that the labeled tensor product Hilbert Space formalism of many-particle quantum mechanics allows, in virtue of the indices, non-symmetric states that do not occur in nature, it would appear that the labels are not just otio ...
Fractional charge in the fractional quantum hall system
... linearization of the energy spectrum near the Fermi wave vector kF . 1D is a special case because there are only 2 discrete fermi surfaces (points in 1D case). The low energy excitation is only possible for fermions with wave vector k with |k − kF | ¿ 1 or |k − 2kF | ¿ 1. This indicates that as the ...
... linearization of the energy spectrum near the Fermi wave vector kF . 1D is a special case because there are only 2 discrete fermi surfaces (points in 1D case). The low energy excitation is only possible for fermions with wave vector k with |k − kF | ¿ 1 or |k − 2kF | ¿ 1. This indicates that as the ...
Probability amplitude
In quantum mechanics, a probability amplitude is a complex number used in describing the behaviour of systems. The modulus squared of this quantity represents a probability or probability density.Probability amplitudes provide a relationship between the wave function (or, more generally, of a quantum state vector) of a system and the results of observations of that system, a link first proposed by Max Born. Interpretation of values of a wave function as the probability amplitude is a pillar of the Copenhagen interpretation of quantum mechanics. In fact, the properties of the space of wave functions were being used to make physical predictions (such as emissions from atoms being at certain discrete energies) before any physical interpretation of a particular function was offered. Born was awarded half of the 1954 Nobel Prize in Physics for this understanding (see #References), and the probability thus calculated is sometimes called the ""Born probability"". These probabilistic concepts, namely the probability density and quantum measurements, were vigorously contested at the time by the original physicists working on the theory, such as Schrödinger and Einstein. It is the source of the mysterious consequences and philosophical difficulties in the interpretations of quantum mechanics—topics that continue to be debated even today.