
BOLTZMANN`S ENTROPY AND TIME`S ARROW
... describing (isolated) systems not in equilibrium, SB typically increases in a way that explains the evolution toward equilibrium of such systems. The superiority of SB over SG in this regard comes from the fact that unlike SG, SB captures the separation between microscopic and macroscopic scales. Th ...
... describing (isolated) systems not in equilibrium, SB typically increases in a way that explains the evolution toward equilibrium of such systems. The superiority of SB over SG in this regard comes from the fact that unlike SG, SB captures the separation between microscopic and macroscopic scales. Th ...
Reciprocal Lattice
... accordance with the Golden Rule, the intensity of scattering—that is the probability density of having a scattering event with given k and k0 —scales 2 ; this is the as the square of the scattering amplitude, and thus is ∝ Ncells manifestation of enhancement of quantum-mechanical elementary processe ...
... accordance with the Golden Rule, the intensity of scattering—that is the probability density of having a scattering event with given k and k0 —scales 2 ; this is the as the square of the scattering amplitude, and thus is ∝ Ncells manifestation of enhancement of quantum-mechanical elementary processe ...
What is Quantum Thermodynamics?
... of nonequilibrium phenomena remain by and large unresolved problems. The resolution of each of these problems requires consideration of all of them at once, because they are all intimately interrelated. The notion of stability of equilibrium has played and will play a central role in the efforts to fi ...
... of nonequilibrium phenomena remain by and large unresolved problems. The resolution of each of these problems requires consideration of all of them at once, because they are all intimately interrelated. The notion of stability of equilibrium has played and will play a central role in the efforts to fi ...
Undergraduate Philospohy Thesis: Quantum Mechanics and
... occurred; and (U) for every X and Y (where X and Y represent occurrences of events and/or states) if the agent is personally responsible for X, and if Y is an arche (or sufficient ground or cause or explanation) for X, then the agent must also be personally responsible for Y. 15 ...
... occurred; and (U) for every X and Y (where X and Y represent occurrences of events and/or states) if the agent is personally responsible for X, and if Y is an arche (or sufficient ground or cause or explanation) for X, then the agent must also be personally responsible for Y. 15 ...
Localized - Current research interest: photon position
... and photon number amplitude is nonlocal in r-space. (2) There are no definite s, l=0 localized photon states (Newton and Wigner 1949) and no photon position operator with localized eigenvectors that transforms like a vector. (3) If a relativistic particle is localized for an instant, at all other ti ...
... and photon number amplitude is nonlocal in r-space. (2) There are no definite s, l=0 localized photon states (Newton and Wigner 1949) and no photon position operator with localized eigenvectors that transforms like a vector. (3) If a relativistic particle is localized for an instant, at all other ti ...
Finite-momentum condensation in a pumped microcavity R. T. Brierley
... using either highly disordered quantum wells 共where excitons are localized by disorder兲 or quantum dots. The proposed experiment involves two stages which are separated in time and can be regarded as independent. In the first stage, the localized states are driven by a chirped laser pulse. This puls ...
... using either highly disordered quantum wells 共where excitons are localized by disorder兲 or quantum dots. The proposed experiment involves two stages which are separated in time and can be regarded as independent. In the first stage, the localized states are driven by a chirped laser pulse. This puls ...
Kinetics of Interactions of Matter, Antimatter and Radiation
... To avoid confusion, in the present work we refer to CP-invariant thermodynamics and kinetics as “symmetric” and to CPT-invariant thermodynamics and kinetics as “antisymmetric”. The main feature of antisymmetric thermodynamics is the existence of two temperatures of antimatter, intrinsic T̄ and appar ...
... To avoid confusion, in the present work we refer to CP-invariant thermodynamics and kinetics as “symmetric” and to CPT-invariant thermodynamics and kinetics as “antisymmetric”. The main feature of antisymmetric thermodynamics is the existence of two temperatures of antimatter, intrinsic T̄ and appar ...
Chapter 10: Relativistic Quantum Mechanics
... the wave functions ψ(~r, t) are vectors of dimension larger one, the components representing the spin attribute of particles and also representing together with a particle its anti-particle. We will find that actually several Lorentz–invariant equations which replace (10.2) will result, any of these ...
... the wave functions ψ(~r, t) are vectors of dimension larger one, the components representing the spin attribute of particles and also representing together with a particle its anti-particle. We will find that actually several Lorentz–invariant equations which replace (10.2) will result, any of these ...
quantum number - Reseda High School
... Plank’s and Einstein's postulate that energy is quantized is in many ways similar to Dalton’s description of atoms. Both theories are based on the existence of simple building blocks, atoms in one case, and quanta in the other. The work of Plank and Einstein thus suggested a connection between the q ...
... Plank’s and Einstein's postulate that energy is quantized is in many ways similar to Dalton’s description of atoms. Both theories are based on the existence of simple building blocks, atoms in one case, and quanta in the other. The work of Plank and Einstein thus suggested a connection between the q ...
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.