an introduction to quantum mechanics - TU Dortmund
... is enough to work with scalar quantities. However for problems in two or three dimensions some quantities such as velocity, force, acceleration,…. must be represented by vectors. So we need different mathematics to describe the problem. Also computers work using matrix algebra. After huge effort phy ...
... is enough to work with scalar quantities. However for problems in two or three dimensions some quantities such as velocity, force, acceleration,…. must be represented by vectors. So we need different mathematics to describe the problem. Also computers work using matrix algebra. After huge effort phy ...
Shanghai Conference on Representation Theory
... polynomials I studied the class of B-modules having filtrations by KP modules. In this talk I will talk about my result about KP modules revealing some (old and new) properties of Schubert polynomials. Time permitting I would also like to talk about my recent study on Schubert polynomials and KP mod ...
... polynomials I studied the class of B-modules having filtrations by KP modules. In this talk I will talk about my result about KP modules revealing some (old and new) properties of Schubert polynomials. Time permitting I would also like to talk about my recent study on Schubert polynomials and KP mod ...
E2-2004-4 M. I. Shirokov* DECAY LAW OF MOVING UNSTABLE
... Eq. (1) or the substitution t → t/γ used in Eq. (1) will be called Einstein dilation ED (in this respect see also Eq. (2.37) in [Mller, 1972]). Calculations of quantum probabilities |Ap (t)|2 and |A0 (t)|2 show that ED does not hold exactly. Numerical calculations were performed by Stefanovich (199 ...
... Eq. (1) or the substitution t → t/γ used in Eq. (1) will be called Einstein dilation ED (in this respect see also Eq. (2.37) in [Mller, 1972]). Calculations of quantum probabilities |Ap (t)|2 and |A0 (t)|2 show that ED does not hold exactly. Numerical calculations were performed by Stefanovich (199 ...
Useful Concepts from Information Theory
... While the Shannon entropy (from now on, just the entropy) was derived by considering the resources required for communication, it also captures the intuitive notion of uncertainty. Consider first a random variable with just two possibilities, 0 and 1, where the probability for 0 is p. If p is close ...
... While the Shannon entropy (from now on, just the entropy) was derived by considering the resources required for communication, it also captures the intuitive notion of uncertainty. Consider first a random variable with just two possibilities, 0 and 1, where the probability for 0 is p. If p is close ...
Hidden Variables and Nonlocality in Quantum Mechanics
... At the present time, most physicists continue to hold a skeptical attitude toward the proposition of a ‘hidden variables’ interpretation of quantum theory, in spite of David Bohm’s successful construction of such a theory and John S. Bell’s strong arguments in favor of the idea. Many are convinced e ...
... At the present time, most physicists continue to hold a skeptical attitude toward the proposition of a ‘hidden variables’ interpretation of quantum theory, in spite of David Bohm’s successful construction of such a theory and John S. Bell’s strong arguments in favor of the idea. Many are convinced e ...
Quantum computing with photons: introduction to the circuit model
... and Groverʼs algorithm enables searching in an unordered list with a quadratic speed-up compared to the classical case [5]. Recently, another quantum algorithm was invented which solves certain systems of linear equations with exponential speed-up compared to a classical computer [6, 7]. This tutori ...
... and Groverʼs algorithm enables searching in an unordered list with a quadratic speed-up compared to the classical case [5]. Recently, another quantum algorithm was invented which solves certain systems of linear equations with exponential speed-up compared to a classical computer [6, 7]. This tutori ...
Topological Insulators
... it’s original state; this is the content of the adiabatic theorem. Moreover it’s internal clocks will register the passage of time; this can be regarded as the dynamical phase factor. The remarkable and rather mysterious result of this paper is in addition the system records its history in a deeply ...
... it’s original state; this is the content of the adiabatic theorem. Moreover it’s internal clocks will register the passage of time; this can be regarded as the dynamical phase factor. The remarkable and rather mysterious result of this paper is in addition the system records its history in a deeply ...
Gravitational Quantum States of Neutrons and the New GRANIT
... The aim of the GRANIT-2010 Workshop was to discuss the scientific program for the new gravitational spectrometer GRANIT.2,4 The behavior of UCN in the gravitational field in GRANIT and in alternative experiments, as well as applications of this phenomenon/spectrometer to various domains of physics, ...
... The aim of the GRANIT-2010 Workshop was to discuss the scientific program for the new gravitational spectrometer GRANIT.2,4 The behavior of UCN in the gravitational field in GRANIT and in alternative experiments, as well as applications of this phenomenon/spectrometer to various domains of physics, ...
Topics in Applied Physics Volume 115
... tems has been deeply investigated and understood. Two phenomena due to the breaking of symmetry in semiconductor heterostructures and correlation in spin-polarized systems have been observed. The first one is related to the dependence of the spin-coherence length on the direction of polarization (par ...
... tems has been deeply investigated and understood. Two phenomena due to the breaking of symmetry in semiconductor heterostructures and correlation in spin-polarized systems have been observed. The first one is related to the dependence of the spin-coherence length on the direction of polarization (par ...
FIFTY YEARS OF EIGENVALUE PERTURBATION
... from Sobolev inequalities. There has been considerable study of this isoelectronic case [37]. For further discussion of regular perturbation theory, see [32], [39], and [41]. 3. DIVERGENT PERTURBATION THEORY ...
... from Sobolev inequalities. There has been considerable study of this isoelectronic case [37]. For further discussion of regular perturbation theory, see [32], [39], and [41]. 3. DIVERGENT PERTURBATION THEORY ...
Primer on topological insulators
... [0, 2π/a] → R, k 7→ k,n as smooth functions, indexed by n. These function are known as (energy) bands, and the entity of all bands defines the band structure of the solid. The spectrum of the Hamiltonians Ĥk is unbounded from above, i.e. one might suspect that there is an infinity of bands. This, ...
... [0, 2π/a] → R, k 7→ k,n as smooth functions, indexed by n. These function are known as (energy) bands, and the entity of all bands defines the band structure of the solid. The spectrum of the Hamiltonians Ĥk is unbounded from above, i.e. one might suspect that there is an infinity of bands. This, ...
Flow of zero-point energy and exploration of phase space in
... tum tunneling which are not accessible to the classical system. On the other hand, the classical phase-space distribution may enter regions of phase space that correspond to a violation of the uncertainty principle. A famous example of the latter phenomena is the ZPE problem mentioned above. Stating ...
... tum tunneling which are not accessible to the classical system. On the other hand, the classical phase-space distribution may enter regions of phase space that correspond to a violation of the uncertainty principle. A famous example of the latter phenomena is the ZPE problem mentioned above. Stating ...
