Chapter 2 Theory of angular momentum
... RRT = 1, since the effect of successive rotations can be obtained by multiplying the appropriate orthogonal matrices; The set of 3 × 3 orthogonal matrices forms a group (as it should be if they represent rotations), which is called SO(3): S stands for special, O stands for orthogonal, 3 stands for t ...
... RRT = 1, since the effect of successive rotations can be obtained by multiplying the appropriate orthogonal matrices; The set of 3 × 3 orthogonal matrices forms a group (as it should be if they represent rotations), which is called SO(3): S stands for special, O stands for orthogonal, 3 stands for t ...
Complementarity in Quantum Mechanics and Classical Statistical
... classical object as a photographic plate) radically affects its initial state, e.g.: electron is forced to localize in a very narrow region (the spot). In this case, a single measuring process is useless to reveal the wave properties of its previous quantum state. To rebuild the wave function Ψ (up ...
... classical object as a photographic plate) radically affects its initial state, e.g.: electron is forced to localize in a very narrow region (the spot). In this case, a single measuring process is useless to reveal the wave properties of its previous quantum state. To rebuild the wave function Ψ (up ...
Geometric constructions for repulsive gravity and
... possibility to distinguish which of the events causes the other one. This contradiction can be resolved only if one assumes that there are no causal connections between events which are simultaneous in an appropriate frame of reference. This turns out to be equivalent to the statement that there is ...
... possibility to distinguish which of the events causes the other one. This contradiction can be resolved only if one assumes that there are no causal connections between events which are simultaneous in an appropriate frame of reference. This turns out to be equivalent to the statement that there is ...
General Relativity Needs No Interpretation
... structure of which is, for one reason or another, poorly understood. One natural route of attack in the attempt to grasp it better is to try to find another framework that we do understand, in the terms of which we can construct a representation of the poorly understood part of the first. In order t ...
... structure of which is, for one reason or another, poorly understood. One natural route of attack in the attempt to grasp it better is to try to find another framework that we do understand, in the terms of which we can construct a representation of the poorly understood part of the first. In order t ...
arXiv:1501.03089v1 [nucl
... These findings have been reconfirmed in more recent studies with potentials that include higher order terms of the chiral Lagrangians [11–17]. From the experimental perspective, the old experiments [18, 19] produced πΣ invariant mass distributions where a single Λ(1405) peak is seen around 1405 MeV. ...
... These findings have been reconfirmed in more recent studies with potentials that include higher order terms of the chiral Lagrangians [11–17]. From the experimental perspective, the old experiments [18, 19] produced πΣ invariant mass distributions where a single Λ(1405) peak is seen around 1405 MeV. ...
Controlling heat and particle currents in nanodevices
... to a hot one2. This is firmly based on the assumption that a macroscopic body in equilibrium is characterized by a single parameter: its temperature. When two objects with different temperatures are brought in contact, heat will flow from the hotter to the colder one. In macroscopic objects, the obs ...
... to a hot one2. This is firmly based on the assumption that a macroscopic body in equilibrium is characterized by a single parameter: its temperature. When two objects with different temperatures are brought in contact, heat will flow from the hotter to the colder one. In macroscopic objects, the obs ...
Half-integral weight Eichler integrals and quantum modular forms
... standard application of the functional equation and the Phragmén-Lindelöf principle, we omit the proof. Lemma 2.3. For fixed x ∈ R, Lf (ζcd ; x + it) grows at most polynomially in t as |t| → ∞. 3. Proof of Theorem 1.1 and Corollary 1.2 In this section, we show Proposition 2.1, use it to prove Theo ...
... standard application of the functional equation and the Phragmén-Lindelöf principle, we omit the proof. Lemma 2.3. For fixed x ∈ R, Lf (ζcd ; x + it) grows at most polynomially in t as |t| → ∞. 3. Proof of Theorem 1.1 and Corollary 1.2 In this section, we show Proposition 2.1, use it to prove Theo ...
Solid State NMR Studies of Complex Two Dimensional Structures
... The inherently low sensitivity of NMR hampers in many cases studies of low dimensional entities such as films or molecular layers. However, fast MAS in combination with advanced recoupling techniques are able to increase the signal to noise ration sufficiently such that structure and dynamics of pol ...
... The inherently low sensitivity of NMR hampers in many cases studies of low dimensional entities such as films or molecular layers. However, fast MAS in combination with advanced recoupling techniques are able to increase the signal to noise ration sufficiently such that structure and dynamics of pol ...
GRAVITY QUANTUM FOAM IN-FLOW
... which is the Panlevé-Gullstrand form of the metric gµν [29, 30] for GR. All of the above is very suggestive that useful information for the flow dynamics may be obtained from GR by restricting the choice of metric to the Panlevé-Gullstrand form. We emphasize that the absolute velocity vR has been ...
... which is the Panlevé-Gullstrand form of the metric gµν [29, 30] for GR. All of the above is very suggestive that useful information for the flow dynamics may be obtained from GR by restricting the choice of metric to the Panlevé-Gullstrand form. We emphasize that the absolute velocity vR has been ...
Evolution without evolution, and without ambiguities
... with a particular clock-variable, so as to ensure that Newton’s laws hold when that observable is regarded as time (the so-called “ephemeris time”). This picture, however, still requires motion to be assumed as primitive, thus leaving the appearance of dynamics itself unexplained. The same problem a ...
... with a particular clock-variable, so as to ensure that Newton’s laws hold when that observable is regarded as time (the so-called “ephemeris time”). This picture, however, still requires motion to be assumed as primitive, thus leaving the appearance of dynamics itself unexplained. The same problem a ...
Canonically conjugate pairs and phase operators
... tn = (−1)n+1 /(an)2 .PThe corresponding energy eigenvalues ǫk = −t0 − 2 n≥1 tn cos (akn) are just the well known Fourier series which corresponds to the periodically continued parabola arcs. In the following we mainly work with the Hamiltonian H = k̂ 2 /2 + V (x̂), which is a special case of Eq. (1) ...
... tn = (−1)n+1 /(an)2 .PThe corresponding energy eigenvalues ǫk = −t0 − 2 n≥1 tn cos (akn) are just the well known Fourier series which corresponds to the periodically continued parabola arcs. In the following we mainly work with the Hamiltonian H = k̂ 2 /2 + V (x̂), which is a special case of Eq. (1) ...