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A Quantum Mechanical Supertask
A Quantum Mechanical Supertask

... The differential form must be supplemented by a weak condition, such as the requirement that state vectors be normalizable at all times, 3 in order to recover the integral form and expel the pathologies. The indeterminism arising here is not the indeterminism of the quantum measurement process. In s ...
Majorana solutions to the two
Majorana solutions to the two

Cooperation of different exchange mechanisms in confined
Cooperation of different exchange mechanisms in confined

Metric fluctuations and the weak equivalence principle
Metric fluctuations and the weak equivalence principle

1 Properties of Fr- like Th from spectroscopy of high-L
1 Properties of Fr- like Th from spectroscopy of high-L

... adiabatic model, assuming theoretical values for Q, αd,0 and αd,2 [3, 19]. The right hand panel shows the energy levels computed if the 6d levels are treated separately and their contributions are evaluated with Eq. 10 and its analog for the 62D5/2 level. The importance of non-adiabatic effects is c ...
The Lamb shift in the hydrogen atom
The Lamb shift in the hydrogen atom

quantum field theory course version 03
quantum field theory course version 03

... The classical mechanics is governed by Newton’s first law ma = F which is mathematically a second order ordinary differential equation. There are two traditional approaches which geometrize the study of this Newton equation, the Lagrange and the Hamiltonian approaches. Both carry over to quantum mec ...
Operator Algebras and Index Theorems in Quantum Field Theory
Operator Algebras and Index Theorems in Quantum Field Theory

http://arxiv.org/pdf/1208.5715v1.pdf
http://arxiv.org/pdf/1208.5715v1.pdf

... minima of the potential. Without gravity, bubble nucleation provides a way for a meta-stable minimum of the potential to decay into the stable state. Once gravity is taken into account, this occurs only if the ”true” minimum has non-negative c.c. . In these cases, the CDL process represents a decay. ...
Theoretical aspects of Solid State Physics
Theoretical aspects of Solid State Physics

... Physics is a qualitative science, and physics is an experimental science. In some rare cases a physical problem may have an exact (or high precision) solution as, for example, in the case of spectrum of Hydrogen atom, or for a value of the fundamental constant e2 /h̄c. Typically, however, it is not ...
Scattering Matrix Formulation of the Total Photoionization of Two
Scattering Matrix Formulation of the Total Photoionization of Two

... PACS numbers: 32.80.Fb, 03.65.Sq, 34.80.Kw, 03.65.Nk Keywords: Scattering matrix, Photoionization cross section, Green’s function, Semiclassical method, Twoelectron atom DOI: 10.3938/jkps.56.1799 ...
Highly doubly excited S states of the helium atom
Highly doubly excited S states of the helium atom

... Rost et al (1991)). These two collinear configurations can be represented classically by characteristic periodic orbits which surprisingly are stable for the O % 0" case and moderately unstable for the 0 % 180' case (Ezra et a/ 1991, Richter and Winlgen 1991). In what follows we use the nomenclature ...
Driven Quantum Systems - Physik Uni
Driven Quantum Systems - Physik Uni

... time-dependent dipole coupling between two Born-Oppenheimer surfaces. Conclusions and an outlook are given in the final Sect. 5.8. ...
Perturbation Theory and Atomic Resonances Since Schrödinger`s
Perturbation Theory and Atomic Resonances Since Schrödinger`s

... this principle states: No satisfactory definition of a resonance can depend only on the structure of a single operator on an abstract Hilbert space. For example, the family of Stark Hamiltonians (1) is unitarily equivalent for all non-zero real κ [15]. How could the energy or lifetime of the resonan ...
New insights into soft gluons and gravitons. In
New insights into soft gluons and gravitons. In

... It is well-known that scattering amplitudes in quantum field theory are beset by infrared divergences. Consider, for example, the interaction shown in figure 1, in which a vector boson splits into a quark pair. Either the final state quark or anti-quark may emit gluon radiation, and the Feynman rule ...
Time-dependent quantum circular billiard
Time-dependent quantum circular billiard

Chapter 3 Basic quantum statistical mechanics of spin
Chapter 3 Basic quantum statistical mechanics of spin

A Very Short Introduction to Quantum Field Theory
A Very Short Introduction to Quantum Field Theory

Universal formalism of Fano resonance
Universal formalism of Fano resonance

... crossed carbon nanotubes,17,18 microwave scattering,19 plasmonic nanostructures and metamaterials,20 and optical resonances.21–24 Applications exploiting Fano resonance have even been proposed for biochemical sensors.25 Although it is of high experimental relevance, the issue that whether the asymme ...
Observables and Measurements in Quantum Mechanics
Observables and Measurements in Quantum Mechanics

... system can be readily generalized. The generalization takes a slightly different form if the observable has a continuous range of possible values, such as position and momentum, as against an observable with only discrete possible results. We will consider the discrete case first. ...
Disorder(Strength(δ2( Energy( Density( Ext,(( Para( ( MBL( Para
Disorder(Strength(δ2( Energy( Density( Ext,(( Para( ( MBL( Para

... conventional Dirac fermion operators. The parameters Ji and hi are drawn from distributions P (J) and P (h) with means J > 0 and h > 0, and variances δJ2 and δh2 . The precise details of the distribution are unimportant for our present purposes, but it is vital that at least one of the variances be ...
NMR spin spin couplings for heavy elements
NMR spin spin couplings for heavy elements

Simulating a simple Quantum Computer
Simulating a simple Quantum Computer

Continuous Time Quantum Monte Carlo method for fermions
Continuous Time Quantum Monte Carlo method for fermions

... grows faster than the numerator. In our calculations for the non-Hamiltonian systems we also did not observe any indications of the divergence. The crucial point of the proof is the finiteness of the number of states in the system. This is a particular peculiarity of fermions. For bosons, on other h ...
Lecture Notes for Chemistry 543, Part III
Lecture Notes for Chemistry 543, Part III

... function of R. It is also convenient to fit this potential energy curve to a model function such as the Morse function, which has the form ...
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Perturbation theory (quantum mechanics)

In quantum mechanics, perturbation theory is a set of approximation schemes directly related to mathematical perturbation for describing a complicated quantum system in terms of a simpler one. The idea is to start with a simple system for which a mathematical solution is known, and add an additional ""perturbing"" Hamiltonian representing a weak disturbance to the system. If the disturbance is not too large, the various physical quantities associated with the perturbed system (e.g. its energy levels and eigenstates) can be expressed as ""corrections"" to those of the simple system. These corrections, being small compared to the size of the quantities themselves, can be calculated using approximate methods such as asymptotic series. The complicated system can therefore be studied based on knowledge of the simpler one.
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