3.3 The time-dependent Schrödinger equation
... Schrödinger equation, with eigenenergy E is also a solution of the time-dependent equation as long as we always multiply it by a factor exp iEt / If r is a solution of the time-independent Schrödinger equation, with eigenenergy E then r, t r exp iEt / is a solution ...
... Schrödinger equation, with eigenenergy E is also a solution of the time-dependent equation as long as we always multiply it by a factor exp iEt / If r is a solution of the time-independent Schrödinger equation, with eigenenergy E then r, t r exp iEt / is a solution ...
The Theory of Scale Relativity - LUTH
... (ii) Special scale-relativity: generalization of the laws of dilation to a Lorentzian form [15]. The fractal dimension itself becomes a variable, and plays the role of a fifth dimension, that we have called ‘djinn’. It is combined, not with the standard space-time coordinates, that keep their four-d ...
... (ii) Special scale-relativity: generalization of the laws of dilation to a Lorentzian form [15]. The fractal dimension itself becomes a variable, and plays the role of a fifth dimension, that we have called ‘djinn’. It is combined, not with the standard space-time coordinates, that keep their four-d ...
Bose-Einstein Condensation and Free DKP field
... atoms and draw an analogy between conventional and “atom lasers” [6], quantum statistics explain BEC as more than one atom sharing a phase space cell, in the quantum theory of atomic traps [7] many atoms condense to the ground state of the trap, in quantum field theory BEC is commonly related to spo ...
... atoms and draw an analogy between conventional and “atom lasers” [6], quantum statistics explain BEC as more than one atom sharing a phase space cell, in the quantum theory of atomic traps [7] many atoms condense to the ground state of the trap, in quantum field theory BEC is commonly related to spo ...
Integral and differential structures for quantum field theory
... an analysis of the τ -measurability criteria of φe operators, a containing von Neumann algebra with a faithful normal semifinite trace is necessary. However (see the comprehensive review [45]) the local algebras M(D) are, under physically plausible assumptions, the same for all relativistic quantum ...
... an analysis of the τ -measurability criteria of φe operators, a containing von Neumann algebra with a faithful normal semifinite trace is necessary. However (see the comprehensive review [45]) the local algebras M(D) are, under physically plausible assumptions, the same for all relativistic quantum ...
Penrose Model potential, compared with Coleman
... explore semiclassical issues in GW and in GR, which lead to a meeting on foundational issues of gravitation in a symposium in Crete, September 2009; and forwarded the Alves et al. document to the author to expand the author’s scientific horizons . ...
... explore semiclassical issues in GW and in GR, which lead to a meeting on foundational issues of gravitation in a symposium in Crete, September 2009; and forwarded the Alves et al. document to the author to expand the author’s scientific horizons . ...
Chapter 7 The Schroedinger Equation in One Dimension In classical
... Thus, for a quantum standing wave, the probability density is independent of time. For a quantum standing wave, the distribution of matter is time independent or stationary. This is why it’s called a stationary state. These are states of definite energy. Because their charge distribution is static, ...
... Thus, for a quantum standing wave, the probability density is independent of time. For a quantum standing wave, the distribution of matter is time independent or stationary. This is why it’s called a stationary state. These are states of definite energy. Because their charge distribution is static, ...
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... L-n perturbation: summary • Found solutions in inner and outer regions and matched in throat to ...
... L-n perturbation: summary • Found solutions in inner and outer regions and matched in throat to ...
Some Notes on Field Theory
... number of degrees of freedom. Examples are systems of many interacting particles or critical phenomena like second order phase transitions. Here we will concentrate on the scattering of particles, but the general framework can be applied to any domain in physics. For an introduction, we simplify Nat ...
... number of degrees of freedom. Examples are systems of many interacting particles or critical phenomena like second order phase transitions. Here we will concentrate on the scattering of particles, but the general framework can be applied to any domain in physics. For an introduction, we simplify Nat ...
In search of symmetry lost
... nature. Discovering new particles, as such, is secondary. In recent times, however, physicists have often found that their most profound concepts, when implemented with rigorous logic, are reflected in the existence of new particles. This happens because both quantum mechanics and special relativity ...
... nature. Discovering new particles, as such, is secondary. In recent times, however, physicists have often found that their most profound concepts, when implemented with rigorous logic, are reflected in the existence of new particles. This happens because both quantum mechanics and special relativity ...
Modified Weak Energy Condition for the Energy Momentum Tensor
... field theories on flat space-time and may be compatible with extending the proof of some singularity theorems to semi-classical general relativity. However these inequalities are formulated entirely in a Minkowski space framework and it is not all clear how they might be applied to the Wick rotated ...
... field theories on flat space-time and may be compatible with extending the proof of some singularity theorems to semi-classical general relativity. However these inequalities are formulated entirely in a Minkowski space framework and it is not all clear how they might be applied to the Wick rotated ...
Concepts and Applications of Effective Field Theories: Flavor
... the generating functional of the theory. Here S(φL , φH ) = d x L(x) is the action φ =functions φL + φHin,do Step 2: Since the high-frequency fields as this suffices to compute the correlation (3).not appear in the ...
... the generating functional of the theory. Here S(φL , φH ) = d x L(x) is the action φ =functions φL + φHin,do Step 2: Since the high-frequency fields as this suffices to compute the correlation (3).not appear in the ...
PDF (Author Accepted Manuscript) - CLoK
... points. In particular, in the classical case the vehicle moves on a trajectory about the libration points for at least 700 days before escaping away. We show that this is true also if the modified long-distance Newtonian potential of effective gravity is employed. We also evaluate the impulse requir ...
... points. In particular, in the classical case the vehicle moves on a trajectory about the libration points for at least 700 days before escaping away. We show that this is true also if the modified long-distance Newtonian potential of effective gravity is employed. We also evaluate the impulse requir ...
Finite size effects in quantum field theory
... propagators. Each term in the expansion can be diagrammatically represented as a Feynman diagram. Through the LSZ reduction formula the scattering matrix can be expressed in terms of a series of such Feynman diagrams. In this way physical quantities such as scattering cross sections or particle deca ...
... propagators. Each term in the expansion can be diagrammatically represented as a Feynman diagram. Through the LSZ reduction formula the scattering matrix can be expressed in terms of a series of such Feynman diagrams. In this way physical quantities such as scattering cross sections or particle deca ...
On the Theory of Intramolecular Energy Transfer
... There is also a correspondence of the " shape " of the wavefunction and the corresponding semiclassical trajectory (i.e. the one whose actions match the quantum numbers via a semiclassical relation). 1 They display regular (rather than chaotic) contour patterns. Indeed, semiclassically calculated wa ...
... There is also a correspondence of the " shape " of the wavefunction and the corresponding semiclassical trajectory (i.e. the one whose actions match the quantum numbers via a semiclassical relation). 1 They display regular (rather than chaotic) contour patterns. Indeed, semiclassically calculated wa ...
ON THE GENERAL FORM OF QUANTUM STOCHASTIC
... B 2 L (H) as Yt (!) = Vt (!) BVt (!). The maps t : B 7! Yt are Hermitian in the sense that Yty = Yt if B y = B, but in contrast to the usual Hamiltonian y dynamics, are not multiplicative in general, t B y C 6= t (B) t (C), even if they are not averaged with respect to !. Moreover, they are usually ...
... B 2 L (H) as Yt (!) = Vt (!) BVt (!). The maps t : B 7! Yt are Hermitian in the sense that Yty = Yt if B y = B, but in contrast to the usual Hamiltonian y dynamics, are not multiplicative in general, t B y C 6= t (B) t (C), even if they are not averaged with respect to !. Moreover, they are usually ...
Physics Today - Departamento de Física
... undergo the gauge transformation V → V − ∂ φ/∂ t, A → A + ∇φ. In QED, the four components of the electromagnetic potential field describing the photon undergo that same transformation, but the fields corresponding to the charged particles also undergo a coordinated transformation, multiplication by ...
... undergo the gauge transformation V → V − ∂ φ/∂ t, A → A + ∇φ. In QED, the four components of the electromagnetic potential field describing the photon undergo that same transformation, but the fields corresponding to the charged particles also undergo a coordinated transformation, multiplication by ...
Stochastic Schrödinger equations
... of quantum stochastic calculus enabling a fast computation of the equation. The procedure is summarized in a small recipe in section 7. To illustrate the theory we consequently focus on the basic example of resonance fluorescence of a two-level atom for which we consider photon counting and homodyne ...
... of quantum stochastic calculus enabling a fast computation of the equation. The procedure is summarized in a small recipe in section 7. To illustrate the theory we consequently focus on the basic example of resonance fluorescence of a two-level atom for which we consider photon counting and homodyne ...
Inclusive DIS in saturation models
... What is the momentum distribution of gluons in matter What is the space-time distribution of gluons in matter How do fast probes interact with the gluonic medium? What is the nature of color neutral exchanges (Pomerons) ...
... What is the momentum distribution of gluons in matter What is the space-time distribution of gluons in matter How do fast probes interact with the gluonic medium? What is the nature of color neutral exchanges (Pomerons) ...
