Pair creation
... Relativistic quantum mechanics (1996–2003) numerical solution to Dirac equation motion in electric and magnetic fields superluminal in barrier tunneling harmonic generation retardation effect resonances in cycloatoms ...
... Relativistic quantum mechanics (1996–2003) numerical solution to Dirac equation motion in electric and magnetic fields superluminal in barrier tunneling harmonic generation retardation effect resonances in cycloatoms ...
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Chapter 2 Fundamental Concepts of Bose
... if the condensate is in a coherent state. Here ψ0 (r) = ϕ0 (r) and ~µ = E(n) − E(n − 1) ∼ ∂E(n) ∂n is the chemical potential of the system. It is important to note that the time evolution of the order parameter is not governed by the total energy E(n) but by the chemical potential µ. This fact is de ...
... if the condensate is in a coherent state. Here ψ0 (r) = ϕ0 (r) and ~µ = E(n) − E(n − 1) ∼ ∂E(n) ∂n is the chemical potential of the system. It is important to note that the time evolution of the order parameter is not governed by the total energy E(n) but by the chemical potential µ. This fact is de ...
... Before the advent of the formal development of quantum mechanics, a few simple, fundamental problems were worked out exactly. It was the case of the Bohr atomic model for the hydrogen atom. This kind of problem is treated in quantum mechanics and modern physics textbooks prior to the introduction of ...
Lecture 5 Motion of a charged particle in a magnetic field
... Classically, in electric and magnetic field, particles experience a Lorentz force: F = q (E + v × B) q denotes charge (notation: q = −e for electron). Velocity-dependent force qv × B very different from that derived from scalar potential, and programme for transferring from classical to quantum mech ...
... Classically, in electric and magnetic field, particles experience a Lorentz force: F = q (E + v × B) q denotes charge (notation: q = −e for electron). Velocity-dependent force qv × B very different from that derived from scalar potential, and programme for transferring from classical to quantum mech ...
A Relativistic, Causal Account of a Spin Measurement
... of this phenomenon requires a multiparticle approach, which we shall not attempt here. We now verify that in the non-relativistic limit, this causal approach yields the same probabilities for a ‘spin-up’ and ‘spin-down’ result as conventional operator methods. In this limit, in which we neglect pair ...
... of this phenomenon requires a multiparticle approach, which we shall not attempt here. We now verify that in the non-relativistic limit, this causal approach yields the same probabilities for a ‘spin-up’ and ‘spin-down’ result as conventional operator methods. In this limit, in which we neglect pair ...
Modern Physics
... “invisible” field (analogous to the magnetic field of the ferromagnet) permeates all space, selectively hindering certain particles. ...
... “invisible” field (analogous to the magnetic field of the ferromagnet) permeates all space, selectively hindering certain particles. ...
ELEMENTARY QUANTUM METAPHYSICS Once upon a
... mechanical world with the kind of Hamiltonian in Eq. (2) (notwithstanding the fact that a classical world with a Hamiltonian like that turns out to have three dimensions); and precisely the same thing will be true of a quantum-mechanical world with the kind of Hamiltonian in Equation (3) (notwithsta ...
... mechanical world with the kind of Hamiltonian in Eq. (2) (notwithstanding the fact that a classical world with a Hamiltonian like that turns out to have three dimensions); and precisely the same thing will be true of a quantum-mechanical world with the kind of Hamiltonian in Equation (3) (notwithsta ...
CHAPTER 2. LAGRANGIAN QUANTUM FIELD THEORY §2.1
... product. Hence we will view the Lagrangian as a short hand way of summarizing the dynamics of the fields, which is defined to be the Euler-Lagrange equations formally derived from the Lagrangian. The approach, as we will see when we discuss specific models, will be to define products of quantum fiel ...
... product. Hence we will view the Lagrangian as a short hand way of summarizing the dynamics of the fields, which is defined to be the Euler-Lagrange equations formally derived from the Lagrangian. The approach, as we will see when we discuss specific models, will be to define products of quantum fiel ...
QUANTUM GEOMETRY OF BOSONIC STRINGS
... the quantum Liouville theory described by the lagrangian (25). This theory is two-dimensional, renormalizable, and completely integrable. All that means that it is exactly solvable, just as sine-Gordon theory, and thus it must be possible to evaluate explicitly the partition function of closed surfa ...
... the quantum Liouville theory described by the lagrangian (25). This theory is two-dimensional, renormalizable, and completely integrable. All that means that it is exactly solvable, just as sine-Gordon theory, and thus it must be possible to evaluate explicitly the partition function of closed surfa ...
Quantum theory of many − particle systems
... second law. There are two other formulations of classical mechanics, which are equivalent to the Newtonian formulation, namely the Lagrangian and Hamiltonian formulations. In the Newtonian formulation, the concept of force is essential, while in the other formulations, the concept of energy is essen ...
... second law. There are two other formulations of classical mechanics, which are equivalent to the Newtonian formulation, namely the Lagrangian and Hamiltonian formulations. In the Newtonian formulation, the concept of force is essential, while in the other formulations, the concept of energy is essen ...
5.2 The Wave Equation
... The potential U(x,t), may simply be zero or a numerical constant, or it may be a complicated operator. U(x,t) represents the effects of the universe on the particle. *That’s a sign of strength, not weakness. Schrödinger’s equation has been used to explain the previously unexplainable and predict the ...
... The potential U(x,t), may simply be zero or a numerical constant, or it may be a complicated operator. U(x,t) represents the effects of the universe on the particle. *That’s a sign of strength, not weakness. Schrödinger’s equation has been used to explain the previously unexplainable and predict the ...