Quantum Gaussian Noise - Research Laboratory of Electronics
... High-sensitivity photodetectors are in widespread use in high-performance optical communication and interferometric precision-measurement systems. Statistical analyses of such systems almost invariably rely on the semiclassical theory of photodetection.1–3 According to semiclassical theory, light is ...
... High-sensitivity photodetectors are in widespread use in high-performance optical communication and interferometric precision-measurement systems. Statistical analyses of such systems almost invariably rely on the semiclassical theory of photodetection.1–3 According to semiclassical theory, light is ...
Can one distinguish quantum trees from the boundary?
... solvability of the inverse problem and should also be minimal in some sense. On the other hand all quantities in the set should have clear physical interpretations and be easily measurable in an experiment without destroying the quantum graph. In the current article we restrict ourselves to boundary ...
... solvability of the inverse problem and should also be minimal in some sense. On the other hand all quantities in the set should have clear physical interpretations and be easily measurable in an experiment without destroying the quantum graph. In the current article we restrict ourselves to boundary ...
INTRODUCTION TO QUANTUM CHAOS
... “Old Quantum Theory.” It was the statement that among all possible trajectories, only one def H with the classical action J = pdr being a multiple of Planck’s constant 2π~ could actually correspond to a stationary state of the quantum particle. The action, and thus the energy of the electron had to ...
... “Old Quantum Theory.” It was the statement that among all possible trajectories, only one def H with the classical action J = pdr being a multiple of Planck’s constant 2π~ could actually correspond to a stationary state of the quantum particle. The action, and thus the energy of the electron had to ...
Vector Review - UCSB C.L.A.S.
... vector, and makes it point in the opposite direction. For example, multiplying a vector by -2 makes the vector twice as long, and also makes the vector point in the opposite direction: ...
... vector, and makes it point in the opposite direction. For example, multiplying a vector by -2 makes the vector twice as long, and also makes the vector point in the opposite direction: ...
Th tical lifetime eore Positronium: A
... and matter. This will contribute to our understanding of the transition from matter, Ps, to light as described by scattering theory. Relativistic propagator theory requires a treatment of the relativistic wave equation of matter. To this end, we will discuss Dirac's relativistic wave equation, prec ...
... and matter. This will contribute to our understanding of the transition from matter, Ps, to light as described by scattering theory. Relativistic propagator theory requires a treatment of the relativistic wave equation of matter. To this end, we will discuss Dirac's relativistic wave equation, prec ...
Understanding Molecular Simulations
... ...making these approaches untractable. What was the alternative at the time ? ...
... ...making these approaches untractable. What was the alternative at the time ? ...
Ionization Dynamics of Molecules in Intense Laser Fields
... Single ionization is thus the initial key process and a detailed understanding of this step is critical for the further understanding of rescattering dynamics. While ionization of atoms has been extensively studied the equivalent studies on molecules are less developed. Molecules are much more compl ...
... Single ionization is thus the initial key process and a detailed understanding of this step is critical for the further understanding of rescattering dynamics. While ionization of atoms has been extensively studied the equivalent studies on molecules are less developed. Molecules are much more compl ...
Is a random state entangled ?
... The probabilistic method: use random techniques to show existence of objects for which explicit constructions are not known (Erdős–Rényi ; Shannon). Major revolution in combinatorics since 1950s ! A priori, Quantum Information Theory is a good candidate for applying the probabilistic method, becau ...
... The probabilistic method: use random techniques to show existence of objects for which explicit constructions are not known (Erdős–Rényi ; Shannon). Major revolution in combinatorics since 1950s ! A priori, Quantum Information Theory is a good candidate for applying the probabilistic method, becau ...
Relativistic Adiabatic Approximation and Geometric Phase
... identified with the appropriate multiple of the Ricci scalar curvature which renders the theory conformally invariant. The problem of the investigation of the dynamics of such a field theory has a long history in the context of developing quantum field theories in a curved background spacetime [23, ...
... identified with the appropriate multiple of the Ricci scalar curvature which renders the theory conformally invariant. The problem of the investigation of the dynamics of such a field theory has a long history in the context of developing quantum field theories in a curved background spacetime [23, ...
The Physics of Quantum Mechanics
... The place of quantum mechanics in nature Quantum mechanics is the framework for describing and analyzing small things, like atoms and nuclei. Quantum mechanics also applies to big things, like baseballs and galaxies, but when applied to big things, certain approximations become legitimate: taken tog ...
... The place of quantum mechanics in nature Quantum mechanics is the framework for describing and analyzing small things, like atoms and nuclei. Quantum mechanics also applies to big things, like baseballs and galaxies, but when applied to big things, certain approximations become legitimate: taken tog ...
Invitation to Local Quantum Physics
... The Bisognano-Wichmann Theorem The PCT theorem was used by J. Bisognano and E. Wichmann in 1976 to derive a structural result that is of fundamental importance for the application of Tomita-Takesaki modular theory in relativistic quantum field theory. Let W be a space-like wedge in space-time, i.e. ...
... The Bisognano-Wichmann Theorem The PCT theorem was used by J. Bisognano and E. Wichmann in 1976 to derive a structural result that is of fundamental importance for the application of Tomita-Takesaki modular theory in relativistic quantum field theory. Let W be a space-like wedge in space-time, i.e. ...
A Hierarchical Approach to Computer-Aided Design of
... Superposition property allows qubit states to grow much faster in dimension than classical bits. In a classical system, n bits represents 2n distinct states, whereas n qubits corresponds to a superposition of 2n states. Observe also that in the above formula some coefficient can cancel, so there exi ...
... Superposition property allows qubit states to grow much faster in dimension than classical bits. In a classical system, n bits represents 2n distinct states, whereas n qubits corresponds to a superposition of 2n states. Observe also that in the above formula some coefficient can cancel, so there exi ...
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.