 
									
								
									Foundations and Measures of Quantum Non
									
... However, a consistent general theory of quantum non-Markovianity does not exist and even the very definition of non-Markovianity is a highly topical issue. Very recently important steps towards a general theory of non-Markoviantiy have been made which try to rigorously define the border between Mark ...
                        	... However, a consistent general theory of quantum non-Markovianity does not exist and even the very definition of non-Markovianity is a highly topical issue. Very recently important steps towards a general theory of non-Markoviantiy have been made which try to rigorously define the border between Mark ...
									Terrestrial Energy Frontier: TEVATRON Searches for Higgs and Supersymmetry
									
... Separate piece of SM introduced “by hand” Mass ↔ Rest energy If we make particle interact with vacuum it will acquire additional energy → MASS In the Standard Model the vacuum is “skewed” by the Higgs field, and particles get mass from interaction with the Higgs field ...
                        	... Separate piece of SM introduced “by hand” Mass ↔ Rest energy If we make particle interact with vacuum it will acquire additional energy → MASS In the Standard Model the vacuum is “skewed” by the Higgs field, and particles get mass from interaction with the Higgs field ...
									Momentum
									
... When the collision occurs, the force usually jumps from zero at the moment of contact to a very large value within a very short period of time, and then abruptly returns to zero again. ...
                        	... When the collision occurs, the force usually jumps from zero at the moment of contact to a very large value within a very short period of time, and then abruptly returns to zero again. ...
									Chapter 2 Quantum mechanics and probability
									
... physical state due to the action of the measuring device. It cannot be interpreted simply as a (passive) collection of additional information.1 In reality we will often have less information about a quantum system than the maximally possible information contained in the state vector. Let us for exam ...
                        	... physical state due to the action of the measuring device. It cannot be interpreted simply as a (passive) collection of additional information.1 In reality we will often have less information about a quantum system than the maximally possible information contained in the state vector. Let us for exam ...
									Momentum, Impulse, and Collisions
									
... Question: Why do you go backwards when you push someone on the ice? Newton’s Law’s answer: When you exert a force on another person, then, by Newton’s law, the person exerts an equal and opposite force on you. ...
                        	... Question: Why do you go backwards when you push someone on the ice? Newton’s Law’s answer: When you exert a force on another person, then, by Newton’s law, the person exerts an equal and opposite force on you. ...
									Probability in computational physics and biology: some
									
... I have been initiated to related topics during my PhD by G. Stoltz and T. Lelivre, while studying the application of “Population (or Sequential) Monte-Carlo” methods to this field (see [12]). We also analyzed the case of “over-damped” diffusions (see [11]) where the momenta instantaneously equilibra ...
                        	... I have been initiated to related topics during my PhD by G. Stoltz and T. Lelivre, while studying the application of “Population (or Sequential) Monte-Carlo” methods to this field (see [12]). We also analyzed the case of “over-damped” diffusions (see [11]) where the momenta instantaneously equilibra ...
									Individual Particles, Properties and Quantum - Philsci
									
... As shown by Tersoff and Bayer [1983], one can derive quantum statistics under a hypothesis of uniformly random a priori distribution of statistical weights over all possible microstates of the system, including permuted ones. Therefore, while given FPSM an assumption of distinguishability (i.e., sen ...
                        	... As shown by Tersoff and Bayer [1983], one can derive quantum statistics under a hypothesis of uniformly random a priori distribution of statistical weights over all possible microstates of the system, including permuted ones. Therefore, while given FPSM an assumption of distinguishability (i.e., sen ...
									Chapter 8. Chemical Dynamics
									
... the rates of chemical reactions and energy transfer are of utmost importance, these tools must be capable of doing so on time scales over which these processes, which are often very fast, take place. Let us begin by examining many of the most commonly employed theoretical models for simulating and u ...
                        	... the rates of chemical reactions and energy transfer are of utmost importance, these tools must be capable of doing so on time scales over which these processes, which are often very fast, take place. Let us begin by examining many of the most commonly employed theoretical models for simulating and u ...
									Conservation Laws
									
... In many applications, especially those in fluid dynamics, convection is the dominant physical transport mechanism over much of the domain of interest. While diffusion is always present, often its effects are small except in limited regions (often near solid boundaries where boundary layers form due ...
                        	... In many applications, especially those in fluid dynamics, convection is the dominant physical transport mechanism over much of the domain of interest. While diffusion is always present, often its effects are small except in limited regions (often near solid boundaries where boundary layers form due ...
									Brane effects in vacuum currents on AdS spacetime with toroidal
									
... the background of AdS spacetime with spatial topology Rp×(S1)q • The presence of a gauge field flux enclosed by compact dimensions is assumed. On the brane the field obeys Robin boundary condition and along compact dimensions periodicity conditions with general phases are imposed. • There is a range ...
                        	... the background of AdS spacetime with spatial topology Rp×(S1)q • The presence of a gauge field flux enclosed by compact dimensions is assumed. On the brane the field obeys Robin boundary condition and along compact dimensions periodicity conditions with general phases are imposed. • There is a range ...
									Chapter 6 - AstroStop
									
... You jump off a table. When you land on the floor you bend your knees during the landing in order to (a) make smaller the impulse applied to you by the floor (b) make smaller the force applied to you by the floor (c) both (a) and (b) ...
                        	... You jump off a table. When you land on the floor you bend your knees during the landing in order to (a) make smaller the impulse applied to you by the floor (b) make smaller the force applied to you by the floor (c) both (a) and (b) ...
									Creating fractional quantum Hall states with atomic clusters
									
... to a number of flux quanta Nv much less than the particle number N . In that regime, the gauge field leads to the appearance of Nv quantized vortices piercing the Bose-Einstein condensate [6–9]. The quantum Hall regime was reached using rotating gases with large filling factors [10,11], but the stro ...
                        	... to a number of flux quanta Nv much less than the particle number N . In that regime, the gauge field leads to the appearance of Nv quantized vortices piercing the Bose-Einstein condensate [6–9]. The quantum Hall regime was reached using rotating gases with large filling factors [10,11], but the stro ...
									Charge Transport in Semiconductors Contents
									
... the presence of an electric field. This happens since the electrons move within the bands in endless cycles, and a sum of the velocities due to all electrons is zero, since for every electron with a positive velocity, there is one with an equivalent negative velocity. Strange things happen if one con ...
                        	... the presence of an electric field. This happens since the electrons move within the bands in endless cycles, and a sum of the velocities due to all electrons is zero, since for every electron with a positive velocity, there is one with an equivalent negative velocity. Strange things happen if one con ...
									Approximate solutions to the quantum problem of two opposite
									
... This model has considerable interest in Physics. For instance, it can be interpreted as a positronium system, or as a Frenkel or Mott–Wannier exciton [4]. Other applications have been studied in [5,6]. The model is also closely related to the system of a particle under two fixed gravity centers, a cl ...
                        	... This model has considerable interest in Physics. For instance, it can be interpreted as a positronium system, or as a Frenkel or Mott–Wannier exciton [4]. Other applications have been studied in [5,6]. The model is also closely related to the system of a particle under two fixed gravity centers, a cl ...
									Quantum dots
									
... States with m=1 decrease in energy when magnetic field increases, while the states with m=2 – increase. Since the number of particles is conserved, the Fermi level is switched between the Landau levels – the electrochemical potential moves along the zigzag line. ...
                        	... States with m=1 decrease in energy when magnetic field increases, while the states with m=2 – increase. Since the number of particles is conserved, the Fermi level is switched between the Landau levels – the electrochemical potential moves along the zigzag line. ...
									Spin-orbit coupling effects, interactions and superconducting
									
... In the present thesis we study the electronic properties of several low dimensional nanoscale systems. In the first part, we focus on the combined effect of spin-orbit coupling (SOI) and Coulomb interaction in carbon nanotubes (CNTs) as well as quantum wires. We derive low energy theories for both sys ...
                        	... In the present thesis we study the electronic properties of several low dimensional nanoscale systems. In the first part, we focus on the combined effect of spin-orbit coupling (SOI) and Coulomb interaction in carbon nanotubes (CNTs) as well as quantum wires. We derive low energy theories for both sys ...
									The Time Dependent Schrödinger Equation
									
... Our state will in general change with time due to V(x,t). Thus  is a function of time and space ...
                        	... Our state will in general change with time due to V(x,t). Thus  is a function of time and space ...
									The Philosophy behind Quantum Gravity
									
... The standard model of particle physics is a quantum field theory that has united in a certain sense all non-gravitational interactions. [...] The universal coupling of gravity to all forms of energy would make it plausible that gravity has to be implemented in a quantum framework too. As discussed b ...
                        	... The standard model of particle physics is a quantum field theory that has united in a certain sense all non-gravitational interactions. [...] The universal coupling of gravity to all forms of energy would make it plausible that gravity has to be implemented in a quantum framework too. As discussed b ...
									Derivation of new quantum hydrodynamic equations using entropy
									
... 1. Introduction. Quantum phenomena in semiconductor devices are increasingly important as the characteristic lengths of modern devices are of the order of deca-nanometers only. In fact, there are devices, like resonant tunneling diodes, whose behavior is essentially based on quantum effects. Since t ...
                        	... 1. Introduction. Quantum phenomena in semiconductor devices are increasingly important as the characteristic lengths of modern devices are of the order of deca-nanometers only. In fact, there are devices, like resonant tunneling diodes, whose behavior is essentially based on quantum effects. Since t ...
Renormalization group
 
                        In theoretical physics, the renormalization group (RG) refers to a mathematical apparatus that allows systematic investigation of the changes of a physical system as viewed at different distance scales. In particle physics, it reflects the changes in the underlying force laws (codified in a quantum field theory) as the energy scale at which physical processes occur varies, energy/momentum and resolution distance scales being effectively conjugate under the uncertainty principle (cf. Compton wavelength).A change in scale is called a ""scale transformation"". The renormalization group is intimately related to ""scale invariance"" and ""conformal invariance"", symmetries in which a system appears the same at all scales (so-called self-similarity). (However, note that scale transformations are included in conformal transformations, in general: the latter including additional symmetry generators associated with special conformal transformations.)As the scale varies, it is as if one is changing the magnifying power of a notional microscope viewing the system. In so-called renormalizable theories, the system at one scale will generally be seen to consist of self-similar copies of itself when viewed at a smaller scale, with different parameters describing the components of the system. The components, or fundamental variables, may relate to atoms, elementary particles, atomic spins, etc. The parameters of the theory typically describe the interactions of the components. These may be variable ""couplings"" which measure the strength of various forces, or mass parameters themselves. The components themselves may appear to be composed of more of the self-same components as one goes to shorter distances.For example, in quantum electrodynamics (QED), an electron appears to be composed of electrons, positrons (anti-electrons) and photons, as one views it at higher resolution, at very short distances. The electron at such short distances has a slightly different electric charge than does the ""dressed electron"" seen at large distances, and this change, or ""running,"" in the value of the electric charge is determined by the renormalization group equation.
 
									 
									 
									 
									 
									 
									 
									 
									 
									 
									 
									 
									 
									 
									 
									 
									 
									 
									 
									 
									 
									 
									 
									