
An important problem, not discussed so far by other authors, is the
... quantum world of complex wavefunctions to the macro-world of events that occur with standard probabilities. The superposition of states is represented by these facts: (1) each of these probabilities can be non-null, (2) |1|2+|1|2=1, and (3) if another particle p2 with a wavefunction 2 = 2|0> + ...
... quantum world of complex wavefunctions to the macro-world of events that occur with standard probabilities. The superposition of states is represented by these facts: (1) each of these probabilities can be non-null, (2) |1|2+|1|2=1, and (3) if another particle p2 with a wavefunction 2 = 2|0> + ...
A study of the electron structure of endohedrally confined atoms
... (5). All SC-FEM calculations have been performed using Ne = 20, ki = 8 ∀i, totalizing 139 local basis functions, and rmax = 200.0 a0 ; this asserts an accuracy of, at least, four figures in the energy levels. On the other hand, the model potential has three adjustable parameters (w0 , maximum well d ...
... (5). All SC-FEM calculations have been performed using Ne = 20, ki = 8 ∀i, totalizing 139 local basis functions, and rmax = 200.0 a0 ; this asserts an accuracy of, at least, four figures in the energy levels. On the other hand, the model potential has three adjustable parameters (w0 , maximum well d ...
Manipulation and Simulation of Cold Atoms in
... Kantian (who introduced me to real chocolate), Andi Micheli (who has regular coffee breaks at half past one in the morning), Sarah Morrison (who put up with my Australian jokes and linguistic sense of humour), Peter Rabl (who won our Stadtlauf competition for the “Diplom Students”), Alessio Recati ( ...
... Kantian (who introduced me to real chocolate), Andi Micheli (who has regular coffee breaks at half past one in the morning), Sarah Morrison (who put up with my Australian jokes and linguistic sense of humour), Peter Rabl (who won our Stadtlauf competition for the “Diplom Students”), Alessio Recati ( ...
Towards a Philosophical Reconstruction of the Dialogue
... and ideas have emerged at the forefront of physics — quantum field theory, chaos theory, quantum cosmology, superstring theory and other approaches to the so-called Theory of Everything. These new approaches have deepened but also challenged our understanding of the physical world. Since its beginni ...
... and ideas have emerged at the forefront of physics — quantum field theory, chaos theory, quantum cosmology, superstring theory and other approaches to the so-called Theory of Everything. These new approaches have deepened but also challenged our understanding of the physical world. Since its beginni ...
Superconducting Qubit Storage and Entanglement with Nanomechanical Resonators A. N. Cleland
... the energy damping time. Piezoelectric dilatational resonators with frequencies in this range, and with roomtemperature quality factors around 103 , have been fabricated from sputtered AlN [10]. In Fig. 3 we present rf network measurements down to 4.2 K for a similar piezoelectric 1.8 GHz resonator, ...
... the energy damping time. Piezoelectric dilatational resonators with frequencies in this range, and with roomtemperature quality factors around 103 , have been fabricated from sputtered AlN [10]. In Fig. 3 we present rf network measurements down to 4.2 K for a similar piezoelectric 1.8 GHz resonator, ...
87, 063618 (2013)
... phases with zero, one, two, and four nodal points as TS0 , TS1 , TS2 , and TS4 , respectively. For a 2D Fermi gas as in Fig. 1(a), a topologically nontrivial superfluidphase with one node, TS1 , occurs only along the = c = μ2 + 2 line. Even though below and above = c , the superfluid gap rem ...
... phases with zero, one, two, and four nodal points as TS0 , TS1 , TS2 , and TS4 , respectively. For a 2D Fermi gas as in Fig. 1(a), a topologically nontrivial superfluidphase with one node, TS1 , occurs only along the = c = μ2 + 2 line. Even though below and above = c , the superfluid gap rem ...
From quantum foundations to quantum information protocols and back PhD thesis
... Physics has two main ambitions: to predict and to understand. Indeed, physics aims for the prediction of all natural phenomena; for every action, what is the corresponding reaction? Prediction entails modeling the correlation between an action, the ‘input’, and what is subsequently observed, the ‘ou ...
... Physics has two main ambitions: to predict and to understand. Indeed, physics aims for the prediction of all natural phenomena; for every action, what is the corresponding reaction? Prediction entails modeling the correlation between an action, the ‘input’, and what is subsequently observed, the ‘ou ...
Optical Properties of Solids
... a function having the periodicity of the lattice. The simplest solution to Eq. (1.1) is for the case in which V(r) is constant and can be taken as zero. It leads to free electrons and plane waves for wave ...
... a function having the periodicity of the lattice. The simplest solution to Eq. (1.1) is for the case in which V(r) is constant and can be taken as zero. It leads to free electrons and plane waves for wave ...
Orthogonal metals: The simplest non-Fermi liquids
... Zn and the corresponding orthogonal metal is obtained when the slave spins are disordered, the fermions form a gapless Fermi surface, and the Zn gauge fields are gapped. For most of the paper, we will discuss only single-band models and Ising slave spins as it most clearly and simply illustrates the ...
... Zn and the corresponding orthogonal metal is obtained when the slave spins are disordered, the fermions form a gapless Fermi surface, and the Zn gauge fields are gapped. For most of the paper, we will discuss only single-band models and Ising slave spins as it most clearly and simply illustrates the ...
Design Considerations for an International Linear
... – Standard Model-like Electroweak couplings Sean Carroll and • but unsatisfying Standard Model Wolfgang Kilian – Evidence for light Higgs boson - can we find it? to the will speak – Dark Matter - what is it? physics shortly – Dark Energy - WHAT IS THIS?? – Extra dimensions? - can we “see” them? ...
... – Standard Model-like Electroweak couplings Sean Carroll and • but unsatisfying Standard Model Wolfgang Kilian – Evidence for light Higgs boson - can we find it? to the will speak – Dark Matter - what is it? physics shortly – Dark Energy - WHAT IS THIS?? – Extra dimensions? - can we “see” them? ...
PDF (Thesis)
... Finally, I would like to acknowledge JoAnn Boyd and Shirley Hampton for their assistance on administration matters. ...
... Finally, I would like to acknowledge JoAnn Boyd and Shirley Hampton for their assistance on administration matters. ...
Vibrationally enhanced tunneling as a mechanism for enzymatic hydrogen transfer
... ABSTRACT We present a theory of enzymatic hydrogen transfer in which hydrogen tunneling is mediated by thermal fluctuations of the enzyme's active site. These fluctuations greatly increase the tunneling rate by shortening the distance the hydrogen must tunnel. The average tunneling distance is shown ...
... ABSTRACT We present a theory of enzymatic hydrogen transfer in which hydrogen tunneling is mediated by thermal fluctuations of the enzyme's active site. These fluctuations greatly increase the tunneling rate by shortening the distance the hydrogen must tunnel. The average tunneling distance is shown ...
Elliptic Curve Cryptography and Quantum Computing
... elliptic curve is not a function. For a function, each input has a single output, but an output may have more than one input. However, an elliptic curve may have two outputs for every one input thus making it not a function. We can see this in Figure 1. ...
... elliptic curve is not a function. For a function, each input has a single output, but an output may have more than one input. However, an elliptic curve may have two outputs for every one input thus making it not a function. We can see this in Figure 1. ...
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.