Atomic structure via highly charged ions and
... for Z & 20, relativistic deviations from (1),(2) (theoretically, energy corrections scale like α2 Z 4 as Z gets large, where α ≈ 1/137 is the fine structure constant). Finally we discuss the error made by neglecting the higher order asymptotic energy corrections in (4). As Fig. 4 and Table II demons ...
... for Z & 20, relativistic deviations from (1),(2) (theoretically, energy corrections scale like α2 Z 4 as Z gets large, where α ≈ 1/137 is the fine structure constant). Finally we discuss the error made by neglecting the higher order asymptotic energy corrections in (4). As Fig. 4 and Table II demons ...
Preparing topologically ordered states by Hamiltonian
... Hamiltonian perturbations [BHM10, BH11, MZ13]. This feature suppresses the uncontrolled accumulation of relative phases between code states, and thus helps to overcome decoherence. This is a necessary requirement for the realization of many-body quantum memories [DKLP02]. To use topologically ordere ...
... Hamiltonian perturbations [BHM10, BH11, MZ13]. This feature suppresses the uncontrolled accumulation of relative phases between code states, and thus helps to overcome decoherence. This is a necessary requirement for the realization of many-body quantum memories [DKLP02]. To use topologically ordere ...
Optical and Magnetic Properties of Copper(II) compounds.
... In particular, the selection rules governing transitions between electronic energy levels of transition metal complexes are: (1) ∆S = 0, the spin rule; and (2) ∆l = +/- 1, the orbital rule (Laporte). The first rule says that allowed transitions must involve the promotion of electrons without a change ...
... In particular, the selection rules governing transitions between electronic energy levels of transition metal complexes are: (1) ∆S = 0, the spin rule; and (2) ∆l = +/- 1, the orbital rule (Laporte). The first rule says that allowed transitions must involve the promotion of electrons without a change ...
The reduced Hamiltonian for next-to-leading-order spin
... meantime another strong indirect evidence occurred with the double pulsar system PSR J0737-3039A and B [2]. For analysis of the measured GW patterns one has to provide very accurate templates following from theory. This can be achieved by numerical calculations with the matching of functions to the ...
... meantime another strong indirect evidence occurred with the double pulsar system PSR J0737-3039A and B [2]. For analysis of the measured GW patterns one has to provide very accurate templates following from theory. This can be achieved by numerical calculations with the matching of functions to the ...
Improved Quantum Metrology Using Quantum Error Correction
... V k σ x V †k ¼ σ x , where the transformed Hamiltonian UHk U † acts within a block. Up to Hadamard operations on particles 2; :::::; m, this corresponds to the situation described in scenario I, i.e., an m-qubit Hamiltonian, Hk ¼ σ ⊗m z , and local, single-qubit noise (X noise on particle 1 and Z no ...
... V k σ x V †k ¼ σ x , where the transformed Hamiltonian UHk U † acts within a block. Up to Hadamard operations on particles 2; :::::; m, this corresponds to the situation described in scenario I, i.e., an m-qubit Hamiltonian, Hk ¼ σ ⊗m z , and local, single-qubit noise (X noise on particle 1 and Z no ...
1. The infinite square well
... which are of course the energies of a particle trapped in an infinite square well of width 2a. In the other limit, as z0 → 0, we see from the figure that there are fewer and fewer states “bound by the potential” and for z0 < π/2 there are no odd states and just one even state. It is significant that ...
... which are of course the energies of a particle trapped in an infinite square well of width 2a. In the other limit, as z0 → 0, we see from the figure that there are fewer and fewer states “bound by the potential” and for z0 < π/2 there are no odd states and just one even state. It is significant that ...
Perturbation Method in the Analysis of Manipulator Inertial
... the MAR industrial manipulator is presented. The mathematical analysis of vibrations is based on the perturbation method. The presented considerations include an analytical description of inertial vibrations as well as results of the numerical analysis for the RPP– type manipulator. Keywords: Robot ...
... the MAR industrial manipulator is presented. The mathematical analysis of vibrations is based on the perturbation method. The presented considerations include an analytical description of inertial vibrations as well as results of the numerical analysis for the RPP– type manipulator. Keywords: Robot ...
URL
... in the unified theory, while the one electron theory describing the line wings is just a wing expansion of the unified theory. Consequently the crucial problem for any line broadening calculation is to evaluate the matrix elements of ~ ’ ( A w ) ,which is essentially the Fourier transform of the the ...
... in the unified theory, while the one electron theory describing the line wings is just a wing expansion of the unified theory. Consequently the crucial problem for any line broadening calculation is to evaluate the matrix elements of ~ ’ ( A w ) ,which is essentially the Fourier transform of the the ...
BARRIER PENETRATION AND INSTANTONS J. ZINN - IPhT
... been noticed that, formally, barrier penetration has a semi-classical interpretation in terms of classical particles moving in imaginary time (see the discussion at the end of section 1.1). The Euclidean formalism based on calculating the density matrix at thermal equilibrium e−βH , describes formal ...
... been noticed that, formally, barrier penetration has a semi-classical interpretation in terms of classical particles moving in imaginary time (see the discussion at the end of section 1.1). The Euclidean formalism based on calculating the density matrix at thermal equilibrium e−βH , describes formal ...
Low-dimensional weakly interacting Bose gases
... So far, no analytical expression for the potential-dependent equation of state is known. The main goal of the present study is to obtain nonuniversal corrections to the universal equation of state of low-dimensional systems. We propose to substitute in the universal equation of state the s-wave scat ...
... So far, no analytical expression for the potential-dependent equation of state is known. The main goal of the present study is to obtain nonuniversal corrections to the universal equation of state of low-dimensional systems. We propose to substitute in the universal equation of state the s-wave scat ...
Time Reversal and Unitary Symmetries
... The first of the Eq. (2.3.7) immediately gives α = δ = 0; the second yields γ = 0, whereas β remains unrestricted by (2.3.7). However, since U is unitary, β must have unit modulus. It is thus possible to choose β = i whereupon the time-reversal operation reads ...
... The first of the Eq. (2.3.7) immediately gives α = δ = 0; the second yields γ = 0, whereas β remains unrestricted by (2.3.7). However, since U is unitary, β must have unit modulus. It is thus possible to choose β = i whereupon the time-reversal operation reads ...