Variational principle in the conservation operators deduction
... In connection with the latter it is interesting to consider another one feature of the deduction: the obtained operators (56) are the quanta operators but, however, there is no one explicit quantum term in the starting equations 4,7,8. Quantum term A is emerged on the step (35) as a result of bound ...
... In connection with the latter it is interesting to consider another one feature of the deduction: the obtained operators (56) are the quanta operators but, however, there is no one explicit quantum term in the starting equations 4,7,8. Quantum term A is emerged on the step (35) as a result of bound ...
Guidelines for Abstract
... 1. Introduction After more than a decade of the formulation of multi-configuration time-dependent HartreeFock (MCTDHF) method to treat electronic dynamics in atoms and molecules induced by the interaction with intense ultrafast laser pulses from first principles [1], the theoretical efforts exerted ...
... 1. Introduction After more than a decade of the formulation of multi-configuration time-dependent HartreeFock (MCTDHF) method to treat electronic dynamics in atoms and molecules induced by the interaction with intense ultrafast laser pulses from first principles [1], the theoretical efforts exerted ...
4. The Hamiltonian Formalism
... Notice that Liouville’s theorem holds whether or not the system conserves energy. (i.e. whether or not ∂H/∂t = 0). But the system must be described by a Hamiltonian. For example, systems with dissipation typically head to regions of phase space with q̇i = 0 and so do not preserve phase space volume. ...
... Notice that Liouville’s theorem holds whether or not the system conserves energy. (i.e. whether or not ∂H/∂t = 0). But the system must be described by a Hamiltonian. For example, systems with dissipation typically head to regions of phase space with q̇i = 0 and so do not preserve phase space volume. ...
- Philsci
... Laplacean mechanics and Newtonian gravitation.” As Psillos puts it, The reference-fixing mechanism should have the following form: R(x) = x causes phenomena Φ and D(x) Term t refers to x if and only if R(x).4 Reference is not fixed, as it is for the causal theory of reference, merely by the subject’ ...
... Laplacean mechanics and Newtonian gravitation.” As Psillos puts it, The reference-fixing mechanism should have the following form: R(x) = x causes phenomena Φ and D(x) Term t refers to x if and only if R(x).4 Reference is not fixed, as it is for the causal theory of reference, merely by the subject’ ...
pdf
... of the reaction force due to radiation emitted by an accelerating charged particle. Abraham argued that the photon inside the medium would have a lower velocity and lower momentum, the medium itself absorbing the difference. In classical terms, Abraham’s momentum is ∫ d3x E × H, or in quantum terms ...
... of the reaction force due to radiation emitted by an accelerating charged particle. Abraham argued that the photon inside the medium would have a lower velocity and lower momentum, the medium itself absorbing the difference. In classical terms, Abraham’s momentum is ∫ d3x E × H, or in quantum terms ...
Electric field-induced force between two identical uncharged spheres
... respectively, and with the angular variables and ⌰ measured from the positive direction of z. An external electric field of strength E is applied in the positive z direction, and the whole configuration is illustrated in Fig. 2. The scalar electrostatic potentials are governed by Laplace’s equatio ...
... respectively, and with the angular variables and ⌰ measured from the positive direction of z. An external electric field of strength E is applied in the positive z direction, and the whole configuration is illustrated in Fig. 2. The scalar electrostatic potentials are governed by Laplace’s equatio ...
Issues in Inflationary and Cyclic Cosmology
... “the (true) quantum perspective” Inflation is dominantly a quantum process… in which (classical) inflation amplifies rare quantum fluctuations… resulting in a peculiar kind of disorder ...
... “the (true) quantum perspective” Inflation is dominantly a quantum process… in which (classical) inflation amplifies rare quantum fluctuations… resulting in a peculiar kind of disorder ...
PowerPoint ******
... nonzero strength everywhere (including otherwise empty space), which in its vacuum state breaks the weak isospin symmetry of the electroweak interaction. When this happens, three components of the Higgs field are "absorbed" by the SU(2) and U(1) gauge bosons (the "Higgs mechanism") to become the lon ...
... nonzero strength everywhere (including otherwise empty space), which in its vacuum state breaks the weak isospin symmetry of the electroweak interaction. When this happens, three components of the Higgs field are "absorbed" by the SU(2) and U(1) gauge bosons (the "Higgs mechanism") to become the lon ...
Quantum states
... case the vector space is infinite-dimensional. There is one coordinate Ψ(x, t) for each point x on the real axis, and there is an infinity of points along the real axis. We denote the state vector using a ket |Ψ(t)i. Note that the time dependence of the state vector is explicit in Dirac’s notation. ...
... case the vector space is infinite-dimensional. There is one coordinate Ψ(x, t) for each point x on the real axis, and there is an infinity of points along the real axis. We denote the state vector using a ket |Ψ(t)i. Note that the time dependence of the state vector is explicit in Dirac’s notation. ...
Precedence and freedom in quantum physics
... has been established does a law take hold, and only for statistical predictions. Individual outcomes can be largely unconstrained. Quantum physics allows this possibility because the generic single measurement is not determined by quantum dynamics. Only if the system is prepared in an eigenstate of ...
... has been established does a law take hold, and only for statistical predictions. Individual outcomes can be largely unconstrained. Quantum physics allows this possibility because the generic single measurement is not determined by quantum dynamics. Only if the system is prepared in an eigenstate of ...
slides - Frontiers of Fundamental Physics (FFP14)
... 2) Primacy of Process Phrases such as "at any moment of time", "at any given time” may be applied in Newtonian-Galileian physics, which is based on a global absolute time. But from SR on to GR, this phrase involves a convention defining a global time., and nothing physical can depend on the choice ...
... 2) Primacy of Process Phrases such as "at any moment of time", "at any given time” may be applied in Newtonian-Galileian physics, which is based on a global absolute time. But from SR on to GR, this phrase involves a convention defining a global time., and nothing physical can depend on the choice ...
Quantum Mechanics I, Sheet 1, Spring 2015
... (e) If T̂L f (x) = f (x − L), how does T̂L act of f˜(k), the fourier transform of f (x)? In other words, what modification of f˜(k) corresponds to translating f (x) by L? (f) Use parts (c) and (e) to determine how D̂ acts on f˜(k). (g) Use the definition of the position operator and the definition o ...
... (e) If T̂L f (x) = f (x − L), how does T̂L act of f˜(k), the fourier transform of f (x)? In other words, what modification of f˜(k) corresponds to translating f (x) by L? (f) Use parts (c) and (e) to determine how D̂ acts on f˜(k). (g) Use the definition of the position operator and the definition o ...
A THEORY OF HIGH ELECTRIC FIELD TRANSPORT 1. Introduction
... where A and E refer to the absorption and emission, respectively, of a phonon. The superscripts “im” and “ph” refer to the impurity and phonon contributions, respectively, to the interaction Hamiltonian. Since we are here concerned with the spin-independent properties only, we suppress the spin indi ...
... where A and E refer to the absorption and emission, respectively, of a phonon. The superscripts “im” and “ph” refer to the impurity and phonon contributions, respectively, to the interaction Hamiltonian. Since we are here concerned with the spin-independent properties only, we suppress the spin indi ...