Fast converging path integrals for time-dependent potentials
... Studying quantum systems in time-dependent potentials represents a fundamental problem which emerges in many areas of physics. Even if the Hamiltonian of the system itself does not explicitly depend on time, such situations naturally occur in the presence of time-dependent external fields. Another im ...
... Studying quantum systems in time-dependent potentials represents a fundamental problem which emerges in many areas of physics. Even if the Hamiltonian of the system itself does not explicitly depend on time, such situations naturally occur in the presence of time-dependent external fields. Another im ...
Mathematisches Forschungsinstitut Oberwolfach Subfactors and
... sense a planar version of [24]), and our constructions below of limit Hilbert spaces are really versions, aimed at a scaling rather than a thermodynamic limit, of von Neumann’s original infinite tensor product-[28]. Background for this point of view is detailed in [17]. Given the difficulty of follo ...
... sense a planar version of [24]), and our constructions below of limit Hilbert spaces are really versions, aimed at a scaling rather than a thermodynamic limit, of von Neumann’s original infinite tensor product-[28]. Background for this point of view is detailed in [17]. Given the difficulty of follo ...
Preprint
... gaseous BEC can be divided into two areas: In the first (which could be labeled “The atomic condensate as a coherent gas”, or “Atom lasers”), one would like to have as little interaction as possible - almost like the photons in the laser. The experiments are preferentially done at low densities. The ...
... gaseous BEC can be divided into two areas: In the first (which could be labeled “The atomic condensate as a coherent gas”, or “Atom lasers”), one would like to have as little interaction as possible - almost like the photons in the laser. The experiments are preferentially done at low densities. The ...
2013-2014 Part III Guide to Courses
... specifically, of the tangent space at the identity. We’ll go through these concepts in some detail, but actually the definition of a Lie algebra (which will be given in approximately three lines) is simply a vector space with a certain anticommutative multiplication which satisfies some version of a ...
... specifically, of the tangent space at the identity. We’ll go through these concepts in some detail, but actually the definition of a Lie algebra (which will be given in approximately three lines) is simply a vector space with a certain anticommutative multiplication which satisfies some version of a ...
The Puzzling Story of the Neutral Kaon System or what we can learn
... Discrete 2010, Beatrix C. Hiesmayr ...
... Discrete 2010, Beatrix C. Hiesmayr ...
Monday - AQIS 2016
... As illustrated in Fig. 2, our experimental setup consists of three modules: state preparation, Alice’s measurement, and Bob’s measurement. In the state preparation module, entangled photons of 801.6nm wavelength are generated in a type-I spontaneous parametric downconversion (SPDC) process where two ...
... As illustrated in Fig. 2, our experimental setup consists of three modules: state preparation, Alice’s measurement, and Bob’s measurement. In the state preparation module, entangled photons of 801.6nm wavelength are generated in a type-I spontaneous parametric downconversion (SPDC) process where two ...
Chapter 11 - UCF College of Sciences
... Two astronauts, each having a mass of 75.0 kg, are connected by a 10.0-m rope of negligible mass. They are isolated in space, orbiting their center of mass at speeds of 5.00 m/s. Treating the astronauts as particles, calculate (a) the magnitude of the angular momentum of the system and (b) the rota ...
... Two astronauts, each having a mass of 75.0 kg, are connected by a 10.0-m rope of negligible mass. They are isolated in space, orbiting their center of mass at speeds of 5.00 m/s. Treating the astronauts as particles, calculate (a) the magnitude of the angular momentum of the system and (b) the rota ...
Equation
... MP6: Attend to precision. MP7: Look for & make use of structure. MP8: Look for & express regularity in repeated reasoning. Additional questions are included on the slides using the "Math Practice" pull-tabs (e.g. a blank one is shown to the right on this slide) with a reference to the standards used ...
... MP6: Attend to precision. MP7: Look for & make use of structure. MP8: Look for & express regularity in repeated reasoning. Additional questions are included on the slides using the "Math Practice" pull-tabs (e.g. a blank one is shown to the right on this slide) with a reference to the standards used ...
Decoherence of a Quantum Bit Circuit
... These notes provide an introduction to the solid state quantum electrical circuits developed during recent years, following recent propositions for quantum machines. If no quantum-classical frontier indeed exists between the microscopic world and the macroscopic one, quantum machines could indeed ta ...
... These notes provide an introduction to the solid state quantum electrical circuits developed during recent years, following recent propositions for quantum machines. If no quantum-classical frontier indeed exists between the microscopic world and the macroscopic one, quantum machines could indeed ta ...
QuRE: The Quantum Resource Estimator Toolbox
... to help with the encoding process. Such ancilla states may be produced by ancilla factories, structures whose parameters must be carefully analyzed. QuRE produces detailed outputs that go beyond reporting basic quantities such as the running time, number of physical qubits, and gate or instruction c ...
... to help with the encoding process. Such ancilla states may be produced by ancilla factories, structures whose parameters must be carefully analyzed. QuRE produces detailed outputs that go beyond reporting basic quantities such as the running time, number of physical qubits, and gate or instruction c ...
Part I: Understanding String Theory
... do instead, is provide a conceptual overview of the ways that physicists think about the world and how this has led to the development of string theory. 1.2 Purpose and structure As such, this paper will be divided into two distinct parts. The first will both motivate and explain string theory by ex ...
... do instead, is provide a conceptual overview of the ways that physicists think about the world and how this has led to the development of string theory. 1.2 Purpose and structure As such, this paper will be divided into two distinct parts. The first will both motivate and explain string theory by ex ...
Phase diffusion pattern in quantum nondemolition systems
... squeezing parameter r, defined by (15), as is evident from a comparison of the large-dashed and the dot-dashed curves. Also by comparing the dot-dashed and double dot-dashed curves indicating the same environmental conditions but different evolution times t, it can be seen that an increase in exposu ...
... squeezing parameter r, defined by (15), as is evident from a comparison of the large-dashed and the dot-dashed curves. Also by comparing the dot-dashed and double dot-dashed curves indicating the same environmental conditions but different evolution times t, it can be seen that an increase in exposu ...
Path integral for the quantum harmonic oscillator using elementary
... The motivation for their work was ‘‘to introduce a formulation of quantum mechanics which is usually considered beyond the scope of most undergraduate courses.’’ We agree with these authors that it is of interest to make alternative approaches to quantum mechanics accessible to the undergraduate. We ...
... The motivation for their work was ‘‘to introduce a formulation of quantum mechanics which is usually considered beyond the scope of most undergraduate courses.’’ We agree with these authors that it is of interest to make alternative approaches to quantum mechanics accessible to the undergraduate. We ...
Coupling-Matrix Approach to the Chern Number Calculation in
... over 400 disorder configurations for sample size N = 48 × 48. ...
... over 400 disorder configurations for sample size N = 48 × 48. ...
Laplace Transform for the Damped Driven
... You’ll recognize this as the differential equation of motion for the damped driven oscillator. For example, a mass m at the end of a spring constant k with damping coefficient λ which is being driven by an externally applied force F (t). At any instant of time t, the net force on the mass m is x ≡ ...
... You’ll recognize this as the differential equation of motion for the damped driven oscillator. For example, a mass m at the end of a spring constant k with damping coefficient λ which is being driven by an externally applied force F (t). At any instant of time t, the net force on the mass m is x ≡ ...
Nuclear physics - Sciencemadness
... Velocity-time graphs: .................................................... 12 Displacement-time graphs: ........................................... 13 Velocity, displacement and time: ................................. 13 Equations of motion:..................................................... 13 ...
... Velocity-time graphs: .................................................... 12 Displacement-time graphs: ........................................... 13 Velocity, displacement and time: ................................. 13 Equations of motion:..................................................... 13 ...
energy mass particles fields forces and new ether
... happen in the nothingness, almost certainly they will answer – with the field! - As if it were enough to pronounce the magic word to explain all these phenomena that occur in the "empty". And then they add all depends from the intrinsic physical properties of the vacuum, but space is absolutely empt ...
... happen in the nothingness, almost certainly they will answer – with the field! - As if it were enough to pronounce the magic word to explain all these phenomena that occur in the "empty". And then they add all depends from the intrinsic physical properties of the vacuum, but space is absolutely empt ...
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.