Unitary time evolution
... This simple result has many profound consequences. For one, the state |ψi of a system is not an observable. Given a quantum system, there is no way to tell in what state |ψi it was prepared. If the state |ψi is known, the state can be “copied” by preparing another system. But it is impossible to co ...
... This simple result has many profound consequences. For one, the state |ψi of a system is not an observable. Given a quantum system, there is no way to tell in what state |ψi it was prepared. If the state |ψi is known, the state can be “copied” by preparing another system. But it is impossible to co ...
Localized shocks Please share
... where c0 , c1 , c2 are constants that depend on the Hamiltonian. The norm is the operator (infinity) norm, and the bound is valid as long as the interactions decay exponentially (or faster) with distance. This bound implies that the radius of the operator can grow no faster than linearly, r[Z1 (tw ) ...
... where c0 , c1 , c2 are constants that depend on the Hamiltonian. The norm is the operator (infinity) norm, and the bound is valid as long as the interactions decay exponentially (or faster) with distance. This bound implies that the radius of the operator can grow no faster than linearly, r[Z1 (tw ) ...
Chapter 2 Foundations I: States and Ensembles
... which is deterministic. If we specify |ψ(0)i, the theory predicts the state |ψ(t)i at a later time. But on the other hand there is measurement, which is probabilistic. The theory does not make definite predictions about the measurement outcomes; it only assigns probabilities to the various alternati ...
... which is deterministic. If we specify |ψ(0)i, the theory predicts the state |ψ(t)i at a later time. But on the other hand there is measurement, which is probabilistic. The theory does not make definite predictions about the measurement outcomes; it only assigns probabilities to the various alternati ...
Two constructions of quantum graphs and two types of
... graphs defined via scattering matrices would appear to be losing some generality. In Section 3.3 we will argue that this is not so. On the other hand, in the case when the Laplace operator produces an energyindependent S-matrix, the matrix S has some very special properties (see Lemma 2.1 and precee ...
... graphs defined via scattering matrices would appear to be losing some generality. In Section 3.3 we will argue that this is not so. On the other hand, in the case when the Laplace operator produces an energyindependent S-matrix, the matrix S has some very special properties (see Lemma 2.1 and precee ...
ON THE GENERAL FORM OF QUANTUM STOCHASTIC
... and identity preserving, t (I) = I in the case of bounded K and L. In the next sections we de…ne a multidimensional analog of the quantum stochastic equation (1.10) and will show that the suggested general structure of its generator indeed follows just from the property of complete positivity of the ...
... and identity preserving, t (I) = I in the case of bounded K and L. In the next sections we de…ne a multidimensional analog of the quantum stochastic equation (1.10) and will show that the suggested general structure of its generator indeed follows just from the property of complete positivity of the ...
Holomorphic Methods in Mathematical Physics
... This shows that the sequence Fm converges locally uniformly to some limit function, which must be F. (If L2 limit and pointwise limit both exist they must be equal a.e.) But a standard theorem shows that a locally uniform limit of holomorphic functions is always holomorphic. (Use Morera’s Theorem to ...
... This shows that the sequence Fm converges locally uniformly to some limit function, which must be F. (If L2 limit and pointwise limit both exist they must be equal a.e.) But a standard theorem shows that a locally uniform limit of holomorphic functions is always holomorphic. (Use Morera’s Theorem to ...
Theoretical aspects of Solid State Physics
... physical problem may have an exact (or high precision) solution as, for example, in the case of spectrum of Hydrogen atom, or for a value of the fundamental constant e2 /h̄c. Typically, however, it is not so, because of two reasons: first, objects are too complicated in almost all cases and, second, ...
... physical problem may have an exact (or high precision) solution as, for example, in the case of spectrum of Hydrogen atom, or for a value of the fundamental constant e2 /h̄c. Typically, however, it is not so, because of two reasons: first, objects are too complicated in almost all cases and, second, ...
Can one distinguish quantum trees from the boundary?
... attaching semi-infinite wires to all boundary vertices. Hence this matrix function encodes all information that can be obtained by boundary measurements. Extending the spectral data set further by including TW-functions associated with both boundary and internal vertices makes the inverse problem to ...
... attaching semi-infinite wires to all boundary vertices. Hence this matrix function encodes all information that can be obtained by boundary measurements. Extending the spectral data set further by including TW-functions associated with both boundary and internal vertices makes the inverse problem to ...
Dual Density Operators and Natural Language
... Clearly, the use of a category of inner-product spaces and linear maps is not at all essential; it suffices to have any compact-closed category, or even more general, a category that matches the structure of the chosen categorial grammar [9]. Since the CPM-construction maps a dagger compact closed c ...
... Clearly, the use of a category of inner-product spaces and linear maps is not at all essential; it suffices to have any compact-closed category, or even more general, a category that matches the structure of the chosen categorial grammar [9]. Since the CPM-construction maps a dagger compact closed c ...
Transition probabilities and dynamic structure factor in the ASEP
... stationary state, the time-dependent characteristics are very nontrivial to obtain, even in the simplest periodic one-dimensional case (closed ring of L sites). This is due to the fact that e.g. the time-dependent operators of type eHt fˆ(0)e−Ht are complicated objects because the generator of the s ...
... stationary state, the time-dependent characteristics are very nontrivial to obtain, even in the simplest periodic one-dimensional case (closed ring of L sites). This is due to the fact that e.g. the time-dependent operators of type eHt fˆ(0)e−Ht are complicated objects because the generator of the s ...
Chapter 12 Path Integral for Fermion Fields
... A → A + dΛ this functions transforms as Φ → Φ + Λ. Using the identity 2iΣαβ = γ α γ β − δ αβ one sees that ...
... A → A + dΛ this functions transforms as Φ → Φ + Λ. Using the identity 2iΣαβ = γ α γ β − δ αβ one sees that ...
Lecture 2: Bogoliubov theory of a dilute Bose gas Abstract
... for conservation of total particle number. We shall also carefully distinguish Bose-Einstein condensation from superfluidity. Interactions are necessary for superfluidity to take place. Interactions are not needed for Bose-Einstein condensation. From a technical point of view, we begin with the form ...
... for conservation of total particle number. We shall also carefully distinguish Bose-Einstein condensation from superfluidity. Interactions are necessary for superfluidity to take place. Interactions are not needed for Bose-Einstein condensation. From a technical point of view, we begin with the form ...
Entangled Simultaneous Measurement and Elementary Particle Representations
... elementary particle multiplets, Levine [18] suggested the generalization of spin (SU (2)) measurement to the measurement of SO(2n) Clifford algebra operators using 2n spin meters. A more fundamental application to elementary particle multiplets, originating in the structure of the Poincare algebra, ...
... elementary particle multiplets, Levine [18] suggested the generalization of spin (SU (2)) measurement to the measurement of SO(2n) Clifford algebra operators using 2n spin meters. A more fundamental application to elementary particle multiplets, originating in the structure of the Poincare algebra, ...
- Philsci
... Jauch’s criterion seems to suggest that, to obtain a wider theory, one should treat some intrinsic properties of the particle as extrinsic. But this would be in vain unless it had a surplus of physical meaning. De Muynck (1975) remarks on Jauch’s criterion, ”an intrinsic property may show up dynamic ...
... Jauch’s criterion seems to suggest that, to obtain a wider theory, one should treat some intrinsic properties of the particle as extrinsic. But this would be in vain unless it had a surplus of physical meaning. De Muynck (1975) remarks on Jauch’s criterion, ”an intrinsic property may show up dynamic ...