Quantum Information and Quantum Computation
... Over the last half century, the components of computers have gotten smaller by a factor of two every year and a half, the phenomenon known as Moore's law. In current computers, the smallest wires and transistors are coming close to a size of one hundred nanometers across, a thousand times the diamet ...
... Over the last half century, the components of computers have gotten smaller by a factor of two every year and a half, the phenomenon known as Moore's law. In current computers, the smallest wires and transistors are coming close to a size of one hundred nanometers across, a thousand times the diamet ...
Lecture-XXIII Quantum Mechanics
... by its nature, is localized at a point, whereas the wave function is spread out in space (it's a function of x, for any given time t). How can such an object be said to describe the state of a particle? ...
... by its nature, is localized at a point, whereas the wave function is spread out in space (it's a function of x, for any given time t). How can such an object be said to describe the state of a particle? ...
Zonal Spherical Functions on Some Symmetric Spaces
... Let G be a real semisimple Lie group with finite center, and K a maximal compact subgroup of G. A zonal spherical function on the symmetric space X=G/K is an simulatneous eigeiifunction (p(x) of all the invariant differential operators on X satisfying (p(kx) = cp(x) for any x^X, k^K, and (p(eK) =1, ...
... Let G be a real semisimple Lie group with finite center, and K a maximal compact subgroup of G. A zonal spherical function on the symmetric space X=G/K is an simulatneous eigeiifunction (p(x) of all the invariant differential operators on X satisfying (p(kx) = cp(x) for any x^X, k^K, and (p(eK) =1, ...
Perfectly accurate clocks turn out to be impossible
... dealing with very large accelerations, no clock will actually be able to show the real passage of time, known as “proper time”. The ideal clock is merely a convenient fiction, as theorists from the University of Warsaw (UW) and University of Nottingham (UN) have shown. In a study published in the jo ...
... dealing with very large accelerations, no clock will actually be able to show the real passage of time, known as “proper time”. The ideal clock is merely a convenient fiction, as theorists from the University of Warsaw (UW) and University of Nottingham (UN) have shown. In a study published in the jo ...
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Derivation of the Nonlinear Schrödinger Equation from First Principles
... the probabilistic interpretation is meaningful only for point-like particles. This is so because probability density cannot be defined for an ensemble of objects with finite dimensions. Indeed, the number of such objects in a given volume element is not defined when the volume element is smaller tha ...
... the probabilistic interpretation is meaningful only for point-like particles. This is so because probability density cannot be defined for an ensemble of objects with finite dimensions. Indeed, the number of such objects in a given volume element is not defined when the volume element is smaller tha ...
Orbital Mechanics
... tangential speed in a rotating frame of reference. Substituting the tangential velocity, this can be written in the form ...
... tangential speed in a rotating frame of reference. Substituting the tangential velocity, this can be written in the form ...
Testing Wavefunction Collapse
... into the novelty of quantum mechanics, or to the possibility of subjecting it to an empirical test. Bohm [3] took the view that for the present it is not possible to distinguish the various interpretations because they are contrived to reproduce the same set of quantal predictions. This conviction m ...
... into the novelty of quantum mechanics, or to the possibility of subjecting it to an empirical test. Bohm [3] took the view that for the present it is not possible to distinguish the various interpretations because they are contrived to reproduce the same set of quantal predictions. This conviction m ...
An effective quantum defect theory for the diamagnetic spectrum of a
... the basis. The Hamiltonian in the B-spline basis has a symmetric banded structure, which can significantly enhance the speed of numerical diagonalization when solving for its eigenvalues and eigenfunctions. In addition, a complex coordinate rotation is employed in our calculation to search the hidde ...
... the basis. The Hamiltonian in the B-spline basis has a symmetric banded structure, which can significantly enhance the speed of numerical diagonalization when solving for its eigenvalues and eigenfunctions. In addition, a complex coordinate rotation is employed in our calculation to search the hidde ...
