Quantum Field Theory on Curved Backgrounds. I
... The Euclidean approach to quantum field theory on a curved background has advantages since elliptic operators are easier to deal with than hyperbolic operators. To obtain physically meaningful results one must presumably perform the analytic continuation back to real time. In general, Lorentzian spa ...
... The Euclidean approach to quantum field theory on a curved background has advantages since elliptic operators are easier to deal with than hyperbolic operators. To obtain physically meaningful results one must presumably perform the analytic continuation back to real time. In general, Lorentzian spa ...
chap3
... momentum? ANS: NO. The ground state in the infinite quantum well is not a determinate state of the momentum because it is not the eigenstate of the momentum operator. The magnitude of momentum is determinate but NOT the direction. ...
... momentum? ANS: NO. The ground state in the infinite quantum well is not a determinate state of the momentum because it is not the eigenstate of the momentum operator. The magnitude of momentum is determinate but NOT the direction. ...
CALCULUS OF FUNCTIONALS
... owe ultimately to Richard Feynman; we have seen that the Schrödinger equation provides—interpretive matters aside—a wonderful instance of a classical field, and it was Feynman who first noticed (or, at least, who first drew attention to the importance of the observation) that the Schrödinger equation ...
... owe ultimately to Richard Feynman; we have seen that the Schrödinger equation provides—interpretive matters aside—a wonderful instance of a classical field, and it was Feynman who first noticed (or, at least, who first drew attention to the importance of the observation) that the Schrödinger equation ...
Analogue gravity from field theory normal modes?
... the occurrence of something like an approximate Lorentz symmetry, and something like an approximate non-trivial ‘effective metric’ might be an inescapable general consequence of classical and quantum field theories being viewed as dynamical systems. In this paper we take some important steps in this ...
... the occurrence of something like an approximate Lorentz symmetry, and something like an approximate non-trivial ‘effective metric’ might be an inescapable general consequence of classical and quantum field theories being viewed as dynamical systems. In this paper we take some important steps in this ...
Introduction to quantum Fisher information
... The subject of this paper is a mathematical transition from the Fisher information of classical statistics to the matrix formalism of quantum theory. If the monotonicity is the main requirement, then there are several quantum versions parametrized by a function. In physical applications the minimal ...
... The subject of this paper is a mathematical transition from the Fisher information of classical statistics to the matrix formalism of quantum theory. If the monotonicity is the main requirement, then there are several quantum versions parametrized by a function. In physical applications the minimal ...
Document
... unperturbed wave functions with other principal quantum numbers. For example, the perturbed ground state will include contributions from the unperturbed excited state wave functions. The amplitude for “mixing” with a given excited state depends on how effective ∆V is in connecting the ground to a gi ...
... unperturbed wave functions with other principal quantum numbers. For example, the perturbed ground state will include contributions from the unperturbed excited state wave functions. The amplitude for “mixing” with a given excited state depends on how effective ∆V is in connecting the ground to a gi ...
Calculation of state selective field ionization of hydrogen atoms in a
... and magnetic fields extending over decades. Except for [2, 3], these studies have been for the case where the electric and magnetic fields are constant. Several studies have been for somewhat weak fields so that perturbative quantum treatments are useful [6–8]. There have been several theoretical qu ...
... and magnetic fields extending over decades. Except for [2, 3], these studies have been for the case where the electric and magnetic fields are constant. Several studies have been for somewhat weak fields so that perturbative quantum treatments are useful [6–8]. There have been several theoretical qu ...
A STRAIGHTFORWARD SET UP OF
... Schrodinger Equation. In other words, the RHS of Eq.(31) or Eq.(32-b) represents the corrected Schrodinger eigenvalue based on only the relativistic effect due to the motion of the electron. Recall yet that, along the line we pursue, Eq.(31) is incorrect, since Eq.(30-a) should be considered togethe ...
... Schrodinger Equation. In other words, the RHS of Eq.(31) or Eq.(32-b) represents the corrected Schrodinger eigenvalue based on only the relativistic effect due to the motion of the electron. Recall yet that, along the line we pursue, Eq.(31) is incorrect, since Eq.(30-a) should be considered togethe ...
PDF
... Viewed from this perspective, it is immediate that the value of information for individuals with linear-in-probability preferences is determined by the curvature properties of the convex hull of the individual's feasible state-contingent utilities. In particular, information is valueless in the neig ...
... Viewed from this perspective, it is immediate that the value of information for individuals with linear-in-probability preferences is determined by the curvature properties of the convex hull of the individual's feasible state-contingent utilities. In particular, information is valueless in the neig ...
Quantum Measurements with Dynamically Bistable Systems
... dropped the term −λ 2 QB ∂P3 ρ̄W /4 which comes from the operator L̂(2) in Eq. (11). One can show that, for typical |δ P| ∼ |η |1/2 , this term leads to corrections ∼ η , λ to ρ̄W . Eq. (20) has a standard form of the equation for classical diffusion in a potential U(δ P), with diffusion coefficient ...
... dropped the term −λ 2 QB ∂P3 ρ̄W /4 which comes from the operator L̂(2) in Eq. (11). One can show that, for typical |δ P| ∼ |η |1/2 , this term leads to corrections ∼ η , λ to ρ̄W . Eq. (20) has a standard form of the equation for classical diffusion in a potential U(δ P), with diffusion coefficient ...
CHAPTER 6: Quantum Mechanics II
... which nobody has yet escaped. Nobody knows how it can be like that. - Richard Feynman ...
... which nobody has yet escaped. Nobody knows how it can be like that. - Richard Feynman ...
Toposes and categories in quantum theory and gravity
... The concept of smooth manifolds, points and coordinate systems are fundamental objects of classical theories. Quantum physics involve objects of quite different nature, namely operators acting on Hilbert space. Unified description of classical gauge theories and general relativity and the correspond ...
... The concept of smooth manifolds, points and coordinate systems are fundamental objects of classical theories. Quantum physics involve objects of quite different nature, namely operators acting on Hilbert space. Unified description of classical gauge theories and general relativity and the correspond ...
A quantum delayed choice experiment
... components, the QBS state is examined. This is achieved by effectively coupling the ancilla qubit initially in the state g to the resonator. Under certain condition, the ancilla undergoes the transition g e for , while no evolution for 0 . Your site here ...
... components, the QBS state is examined. This is achieved by effectively coupling the ancilla qubit initially in the state g to the resonator. Under certain condition, the ancilla undergoes the transition g e for , while no evolution for 0 . Your site here ...
ABSTRACT PHOTON PAIR PRODUCTION FROM A HOT ATOMIC ENSEMBLE IN THE DIAMOND CONFIGURATION
... Quantum mechanically correlated photon pairs, as well as single photon pulses have numerous uses in the field of quantum information science. These include quantum encryption/communicaiton [31] and linear optical quantum computation [35]. The motivation for the work presented here in this thesis is ...
... Quantum mechanically correlated photon pairs, as well as single photon pulses have numerous uses in the field of quantum information science. These include quantum encryption/communicaiton [31] and linear optical quantum computation [35]. The motivation for the work presented here in this thesis is ...
Quantum electrodynamics
In particle physics, quantum electrodynamics (QED) is the relativistic quantum field theory of electrodynamics. In essence, it describes how light and matter interact and is the first theory where full agreement between quantum mechanics and special relativity is achieved. QED mathematically describes all phenomena involving electrically charged particles interacting by means of exchange of photons and represents the quantum counterpart of classical electromagnetism giving a complete account of matter and light interaction.In technical terms, QED can be described as a perturbation theory of the electromagnetic quantum vacuum. Richard Feynman called it ""the jewel of physics"" for its extremely accurate predictions of quantities like the anomalous magnetic moment of the electron and the Lamb shift of the energy levels of hydrogen.