
Path integral Monte Carlo study of the interacting quantum double-well... Quantum phase transition and phase diagram
... The mean-field result for Jc, depicted in Fig. 5, shows the same nonmonotonic behavior as our results for Jc from the PIMC simulation and has a maximum at V0 = 1. This behavior of Jc can be understood as follows: In the region V0 Ⰷ 1 the potential has two deep minima separated by a barrier V0 giving ...
... The mean-field result for Jc, depicted in Fig. 5, shows the same nonmonotonic behavior as our results for Jc from the PIMC simulation and has a maximum at V0 = 1. This behavior of Jc can be understood as follows: In the region V0 Ⰷ 1 the potential has two deep minima separated by a barrier V0 giving ...
Duality Theory of Weak Interaction
... Fourth, as mentioned earlier, PID induces naturally spontaneous symmetry breaking mechanism. By construction, it is clear that the Lagrangian action LW in (1.1) obeys the SU (2) gauge symmetry, the PRI and the Lorentz invariance. Both the Lorentz invariance and PRI are universal principles, and, con ...
... Fourth, as mentioned earlier, PID induces naturally spontaneous symmetry breaking mechanism. By construction, it is clear that the Lagrangian action LW in (1.1) obeys the SU (2) gauge symmetry, the PRI and the Lorentz invariance. Both the Lorentz invariance and PRI are universal principles, and, con ...
The Interaction of Radiation and Matter: Quantum
... can be analyzed completely since the first term on the RHS of Equation [ VII-6 ] -- the damping term-- contains only the system variable. In general, this feedback term will included reservoir variables as well and the simplified model breaks down. The general case may, however, be analyzed if we ta ...
... can be analyzed completely since the first term on the RHS of Equation [ VII-6 ] -- the damping term-- contains only the system variable. In general, this feedback term will included reservoir variables as well and the simplified model breaks down. The general case may, however, be analyzed if we ta ...
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... but not the statistics of periodic orbits Correlation functions for chaotic spectra (under simplifying assumptions): (Bogomolny, Keating, ’96) ...
... but not the statistics of periodic orbits Correlation functions for chaotic spectra (under simplifying assumptions): (Bogomolny, Keating, ’96) ...
STRONG-FIELD PHENOMENA IN ATOMS QUASICLASSICAL
... inequality ω1/ 3 « 1is satisfied in the IR, or longer wavelength regions. One can check easily that under the condition ωI/ 3 1 the centrifugal term l(l + 1)/r 2 in the Schrödinger equation estimated at r ti rq is much smaller than the Coulomb energy 1/r if only the angular momentum quantum number 1 ...
... inequality ω1/ 3 « 1is satisfied in the IR, or longer wavelength regions. One can check easily that under the condition ωI/ 3 1 the centrifugal term l(l + 1)/r 2 in the Schrödinger equation estimated at r ti rq is much smaller than the Coulomb energy 1/r if only the angular momentum quantum number 1 ...
Solitons of the resonant nonlinear Schrödinger equation with
... This has been called the resonant NLS (RNLS) equation. It can be considered a third version of the NLS equation, intermediate between the defocusing and focusing cases. Although the RNLS model is integrable for arbitrary values of the coefficient s, the critical value s = 1 separates two distinct regi ...
... This has been called the resonant NLS (RNLS) equation. It can be considered a third version of the NLS equation, intermediate between the defocusing and focusing cases. Although the RNLS model is integrable for arbitrary values of the coefficient s, the critical value s = 1 separates two distinct regi ...
On magnetic-field-induced electromagnetic superconductivity of
... The vacuum in strong magnetic field Ingredients needed for possible superconductivity: A. Presence of electric charges? Yes, we have them: there are virtual particles which may potentially become “real” (= pop up from the vacuum) and make the vacuum (super)conducting. B. Reduction to 1+1 dimensions ...
... The vacuum in strong magnetic field Ingredients needed for possible superconductivity: A. Presence of electric charges? Yes, we have them: there are virtual particles which may potentially become “real” (= pop up from the vacuum) and make the vacuum (super)conducting. B. Reduction to 1+1 dimensions ...
Quantum cobordisms and formal group laws
... According to the Hirzebruch–Riemann–Roch formula (4), the computation can be reduced to cohomological intersection theory in M0,n between ψ-classes and characteristic classes of the tangent bundle. In the more general context of (higher genus) Gromov–Witten theory, one can consider intersection numb ...
... According to the Hirzebruch–Riemann–Roch formula (4), the computation can be reduced to cohomological intersection theory in M0,n between ψ-classes and characteristic classes of the tangent bundle. In the more general context of (higher genus) Gromov–Witten theory, one can consider intersection numb ...
Mirror QCD and Cosmological Constant
... Theory (PT) only (for a comprehensive review on the QCD vacuum, see, e.g., Refs. [1–4] and references therein). The gluon condensate directly influences properties of the quark-gluon plasma and its hadronisation, as well as dynamics of the QCD phase transition. On the other hand, YM condensates have ...
... Theory (PT) only (for a comprehensive review on the QCD vacuum, see, e.g., Refs. [1–4] and references therein). The gluon condensate directly influences properties of the quark-gluon plasma and its hadronisation, as well as dynamics of the QCD phase transition. On the other hand, YM condensates have ...
Mathematical Principles of Theoretical Physics
... a few fundamental mathematical principles, and to provide new insights and solutions to a number of challenging problems of theoretical physics. This book focuses mainly on the symbiotic interplay between theoretical physics and advanced mathematics. The great success and experimental verification o ...
... a few fundamental mathematical principles, and to provide new insights and solutions to a number of challenging problems of theoretical physics. This book focuses mainly on the symbiotic interplay between theoretical physics and advanced mathematics. The great success and experimental verification o ...
Lesson Plans Lesson Plan WEEK 2 Sept 1
... Pg 41 8-20 even, 21-35 Pg 47 6-22 even, 26-34 even, 35,37,38 Data using Tables & ...
... Pg 41 8-20 even, 21-35 Pg 47 6-22 even, 26-34 even, 35,37,38 Data using Tables & ...
Lie point symmetries: An alternative approach to wave
... one could equally use Γ3 to construct additional solutions. The only difference is that the creation is by an even number of steps so that one either creates the even series of wave-functions or the odd series. When one is at a higher state, the symmetries Γ2 and Γ4 can both be used as annihilation ...
... one could equally use Γ3 to construct additional solutions. The only difference is that the creation is by an even number of steps so that one either creates the even series of wave-functions or the odd series. When one is at a higher state, the symmetries Γ2 and Γ4 can both be used as annihilation ...
ACTION AT A DISTANCE AND COSMOLOGY: A Historical
... for these influences arrive back at B instantaneously. Thus only the future light cone of B comes into play. The reaction from the universe on the future light cone cancels the advanced component of F (b) and doubles its retarded component. Also, according to the Lorentz force equation, R (b) is the ...
... for these influences arrive back at B instantaneously. Thus only the future light cone of B comes into play. The reaction from the universe on the future light cone cancels the advanced component of F (b) and doubles its retarded component. Also, according to the Lorentz force equation, R (b) is the ...