Photonic Rutherford Scattering: A Classical and Quantum
... paper16 ). Indeed, the parabolic unit-eccentricity orbits of zero-energy scattering is not the found (approximate) solution for the ray-trajectory. Here, 12 |r0 |2 + V − n20 /2 = 0 and E can be identified with the first two terms yielding E = n20 /2 to be taken as the mechanical total energy analogo ...
... paper16 ). Indeed, the parabolic unit-eccentricity orbits of zero-energy scattering is not the found (approximate) solution for the ray-trajectory. Here, 12 |r0 |2 + V − n20 /2 = 0 and E can be identified with the first two terms yielding E = n20 /2 to be taken as the mechanical total energy analogo ...
Emergence in Effective Field Theories - Philsci
... can be eliminated in such a way that the result is an effective field theory that produces the same predictions as the original when restricted to low energies (large distances). One advantage of using the effective theory is that it makes calculations more tractable. Moreover, many quantum field th ...
... can be eliminated in such a way that the result is an effective field theory that produces the same predictions as the original when restricted to low energies (large distances). One advantage of using the effective theory is that it makes calculations more tractable. Moreover, many quantum field th ...
ψ ε
... d > 3, we naturally have to make this assumption. On the other hand, we will need the approximate envelope u to be rather smooth, which requires a smooth nonlinearity, σ ∈ N. Intersecting this property with the assumptions of Theorem 1.4 leaves only one case: d = 3 and σ = 1, that is (1.1), up to th ...
... d > 3, we naturally have to make this assumption. On the other hand, we will need the approximate envelope u to be rather smooth, which requires a smooth nonlinearity, σ ∈ N. Intersecting this property with the assumptions of Theorem 1.4 leaves only one case: d = 3 and σ = 1, that is (1.1), up to th ...
Unified treatment of quantum coherent and incoherent hopping
... the environmental degrees of freedom. The most commonly used theory from this approach is the Redfield equation,15–18 which is based on second-order perturbative truncation with respect to electron-environment interaction and the Markov approximation. In photosynthetic EET, each site of a multichrom ...
... the environmental degrees of freedom. The most commonly used theory from this approach is the Redfield equation,15–18 which is based on second-order perturbative truncation with respect to electron-environment interaction and the Markov approximation. In photosynthetic EET, each site of a multichrom ...
The Weak Force: From Fermi to Feynman
... case. In fact, at the time of the incident Pauli had been travelling from Copenhagen to Zürich and, it was later revealed, at the precise moment of the malfunction Pauli had stopped to await a connecting train in Göttingen[4]. Pauli enters into our story of β decay around 1930, the year in which h ...
... case. In fact, at the time of the incident Pauli had been travelling from Copenhagen to Zürich and, it was later revealed, at the precise moment of the malfunction Pauli had stopped to await a connecting train in Göttingen[4]. Pauli enters into our story of β decay around 1930, the year in which h ...
ANTI-MATTER FROM PRIMORDIAL BLACK HOLES
... Within the Wheeler, Misner and DeWitt QGD, the BB singularity is not resolved could it be different in the specific quantum theory of Riemannian geometry called LQG? KEY questions: How close to the BB does smooth space-time make sense ? Is inflation safe ? Is the BB singularity solved as the hydro ...
... Within the Wheeler, Misner and DeWitt QGD, the BB singularity is not resolved could it be different in the specific quantum theory of Riemannian geometry called LQG? KEY questions: How close to the BB does smooth space-time make sense ? Is inflation safe ? Is the BB singularity solved as the hydro ...
Superstring Theory
... Standard Model, and does so with a structure more elegant and unified than in quantum field theory. In particular, if one tries to construct a consistent relativistic quantum theory of onedimensional objects one finds: 1. Gravity. Every consistent string theory must contain a massless spin-2 state, ...
... Standard Model, and does so with a structure more elegant and unified than in quantum field theory. In particular, if one tries to construct a consistent relativistic quantum theory of onedimensional objects one finds: 1. Gravity. Every consistent string theory must contain a massless spin-2 state, ...
V. Linetsky, “The Path Integral Approach to Financial Modeling and
... In finance, the fundamental principle is the absence of arbitrage (Ross, 1976; Cox and Ross, 1976; Harrison and Kreps, 1979; Harrison and Pliska, 1981; Merton, 1990; Duffie, 1996). In finance it plays a role similar to the least action principle and the energy conservation law in natural sciences. A ...
... In finance, the fundamental principle is the absence of arbitrage (Ross, 1976; Cox and Ross, 1976; Harrison and Kreps, 1979; Harrison and Pliska, 1981; Merton, 1990; Duffie, 1996). In finance it plays a role similar to the least action principle and the energy conservation law in natural sciences. A ...
The Addition Theorem for Spherical Harmonics and Monopole
... The key point is to observe that the angular momentum operators in both cases satisfy the same SU(2) algebra. The only difference is that, for ordinary angular momentum operators L, they satisfy ^r:L = 0, where ^r is the radial unit vector. For the monopole angular momentum operators J, we have the ...
... The key point is to observe that the angular momentum operators in both cases satisfy the same SU(2) algebra. The only difference is that, for ordinary angular momentum operators L, they satisfy ^r:L = 0, where ^r is the radial unit vector. For the monopole angular momentum operators J, we have the ...
Toposes and categories in quantum theory and gravity
... with χA (x) = 1 or 0 according as x ∈ A or x < A. One thinks of {0, 1} as the truth-values; and χA classifies the various x for the set-theoretically natural question, “x ∈ A?”. Furthermore, the structure of Set—the category of sets—secures the existence of this set of truth-values and the various f ...
... with χA (x) = 1 or 0 according as x ∈ A or x < A. One thinks of {0, 1} as the truth-values; and χA classifies the various x for the set-theoretically natural question, “x ∈ A?”. Furthermore, the structure of Set—the category of sets—secures the existence of this set of truth-values and the various f ...
Octonion model of dark matter
... undetectable by emitted or scattered electromagnetic radiation. Its existence was hypothesized to account for discrepancies between measurements of the mass of galaxies, clusters of galaxies and the entire universe made through dynamical and general relativistic means, and accounting for matter base ...
... undetectable by emitted or scattered electromagnetic radiation. Its existence was hypothesized to account for discrepancies between measurements of the mass of galaxies, clusters of galaxies and the entire universe made through dynamical and general relativistic means, and accounting for matter base ...
Quantum Times
... Figure 3. Representation of nonorthogonal states in a pure states with corresponding distributions that psi-epistemic model. overlap. This is illustrated in Figure 3. These definitions of psi-ontology and psiepistemicism may seem a little abstract, so a classical analogy may be helpful. In Newtonian ...
... Figure 3. Representation of nonorthogonal states in a pure states with corresponding distributions that psi-epistemic model. overlap. This is illustrated in Figure 3. These definitions of psi-ontology and psiepistemicism may seem a little abstract, so a classical analogy may be helpful. In Newtonian ...
Nonlinear quantum mechanics, the superposition principle, and the
... important, how does one generalize the linear Wheeler deWitt equation to a nonlinear equation? Correspondingly, how does one take into account the nonlinear feedback in the Schrödinger equation? There are no set answers to address these questions. On the other hand, when we start from the reformula ...
... important, how does one generalize the linear Wheeler deWitt equation to a nonlinear equation? Correspondingly, how does one take into account the nonlinear feedback in the Schrödinger equation? There are no set answers to address these questions. On the other hand, when we start from the reformula ...
Pairs of Pants, Pochhammer Curves and L2 - Invariants
... As elegant as this argument may be, it throws very little light on the meaning attached to the result (1). In addition, the definitions that have been provided for these invariants (three different versions are proposed in [19], all of which coincide in Atiyah’s example) do not seem to give a hint t ...
... As elegant as this argument may be, it throws very little light on the meaning attached to the result (1). In addition, the definitions that have been provided for these invariants (three different versions are proposed in [19], all of which coincide in Atiyah’s example) do not seem to give a hint t ...
15 Schrodinger Equation - DigitalCommons@USU
... Note that we could have written X(x) = Ae±ikx , but we can get both choices of sign by choosing k positive or negative, so for simplicity we drop the ±. Keep in mind, though, that for a given ! there are two independent solutions for X(x), namely e±i|k|x . Since is complex-valued, there is no obviou ...
... Note that we could have written X(x) = Ae±ikx , but we can get both choices of sign by choosing k positive or negative, so for simplicity we drop the ±. Keep in mind, though, that for a given ! there are two independent solutions for X(x), namely e±i|k|x . Since is complex-valued, there is no obviou ...
