What every physicist should know about
... What turned out to be the external states in a Feynman diagram were just the states in that quantum mechanics. But a deformation of the spacetime metric is represented not by a state but by an operator. When we make a change δGIJ in the spacetime metric GIJ, the action changes by I → I + ∫ dt √‾ gO, ...
... What turned out to be the external states in a Feynman diagram were just the states in that quantum mechanics. But a deformation of the spacetime metric is represented not by a state but by an operator. When we make a change δGIJ in the spacetime metric GIJ, the action changes by I → I + ∫ dt √‾ gO, ...
The Institute of Physical Chemistry of the Polish Academy of Sciencies
... tunneling. The times of proton jumps between the nitrogen atoms were thus obtained. Experiments conducted on sets of cold, isolated particles suggested times of a few picoseconds (a millionth of one millionth of a second) – and just such times were observed in experiments in Warsaw, led by Dr. Piotr ...
... tunneling. The times of proton jumps between the nitrogen atoms were thus obtained. Experiments conducted on sets of cold, isolated particles suggested times of a few picoseconds (a millionth of one millionth of a second) – and just such times were observed in experiments in Warsaw, led by Dr. Piotr ...
t_v_ramakrishnan
... Many independent electrons together have been experimentally and theoretically explored for more than a hundred years ( Some of the unexpected things they do, eg effectively behaving as massless Dirac fermions in graphene, or in topological insulators, are very active current areas of research ) Man ...
... Many independent electrons together have been experimentally and theoretically explored for more than a hundred years ( Some of the unexpected things they do, eg effectively behaving as massless Dirac fermions in graphene, or in topological insulators, are very active current areas of research ) Man ...
Poster PDF (3.9mb)
... classical algorithms, from exponential advantage in factoring to a plethora of polynomial advantages in machine learning tasks. However, as the size of the problem grows, the quantum circuit required to solve it also grows, and small errors in single gates add to have a substantial effect on the out ...
... classical algorithms, from exponential advantage in factoring to a plethora of polynomial advantages in machine learning tasks. However, as the size of the problem grows, the quantum circuit required to solve it also grows, and small errors in single gates add to have a substantial effect on the out ...
1 Applying Quantum Optimization Algorithms for Linear Programming
... determined by performing measurements on ...
... determined by performing measurements on ...
Quantum Mechanical Derivation of the Wallis Formula for $\ pi$
... derivation of Eq. (1) that originates in physics, specifically in quantum mechanics. It is the purpose of this paper to show that this formula can in fact be derived from a variational computation of the spectrum of the hydrogen atom. The existence of such a derivation indicates that there are strik ...
... derivation of Eq. (1) that originates in physics, specifically in quantum mechanics. It is the purpose of this paper to show that this formula can in fact be derived from a variational computation of the spectrum of the hydrogen atom. The existence of such a derivation indicates that there are strik ...
The Quantum Atom
... experiments had high speeds, and hence high kinetic energies, it was apparent that powerful forces were required to cause such large deflections. This implied that an atom is composed of a tiny nucleus in which a positive charge and nearly all its mass are concentrated, with the electrons at some di ...
... experiments had high speeds, and hence high kinetic energies, it was apparent that powerful forces were required to cause such large deflections. This implied that an atom is composed of a tiny nucleus in which a positive charge and nearly all its mass are concentrated, with the electrons at some di ...
The variational principle and simple properties of the ground
... restrict ourselves to this case, because velocity-dependent potentials can give rise to spontaneous symmetry breaking, as pointed out in Ref. 4. Spontaneous symmetry breaking could lead to degeneracy in the ground-state wave function and the proof given here does not hold. If the Hamiltonian is rota ...
... restrict ourselves to this case, because velocity-dependent potentials can give rise to spontaneous symmetry breaking, as pointed out in Ref. 4. Spontaneous symmetry breaking could lead to degeneracy in the ground-state wave function and the proof given here does not hold. If the Hamiltonian is rota ...
Quantum Mechanics From General Relativity
... in the context of this theory do approach the exact Schrödinger form of wave mechanics in nonrelativistic quantum mechanics, or the Dirac relativistic version, the features of hydrogen must still be interpreted differently in this view. The important quantity here is the weighting of the interactio ...
... in the context of this theory do approach the exact Schrödinger form of wave mechanics in nonrelativistic quantum mechanics, or the Dirac relativistic version, the features of hydrogen must still be interpreted differently in this view. The important quantity here is the weighting of the interactio ...
The Yrast Spectra of Weakly Interacting Bose
... shifted outward in the radial direction of the (x, y) plane effectively expanding the area, reducing the density, and thus reducing the energy associated with the short range repulsive interactions. The state (15) represents a realization of the partition (1N ) in the mode corresponding to (5) and a ...
... shifted outward in the radial direction of the (x, y) plane effectively expanding the area, reducing the density, and thus reducing the energy associated with the short range repulsive interactions. The state (15) represents a realization of the partition (1N ) in the mode corresponding to (5) and a ...
Coulomb blockade in the fractional quantum Hall effect regime *
... which it deviates from a Fermi liquid, for which g⫽1. In particular, the zero-temperature density-of-states 共DOS兲 of a macroscopic CLL vanishes at the Fermi energy as ⑀ 1/g⫺1 , which is responsible for its well-known power-law tunneling characteristics. It is not surprising, and will be established ...
... which it deviates from a Fermi liquid, for which g⫽1. In particular, the zero-temperature density-of-states 共DOS兲 of a macroscopic CLL vanishes at the Fermi energy as ⑀ 1/g⫺1 , which is responsible for its well-known power-law tunneling characteristics. It is not surprising, and will be established ...
Visualizing the Difference Between a Superposition and a Mixture
... mathematical expression is simple, its true meaning is difficult to grasp. For example, given a linear superposition (not normalized) of two states, ...
... mathematical expression is simple, its true meaning is difficult to grasp. For example, given a linear superposition (not normalized) of two states, ...
The utterly prosaic connection between physics
... But the Heisenberg uncertainty relations (as commonly presented) suffer from their own level of excessive mysticism and obfuscation. A distressingly common (but utterly infantile) confusion is to treat the words “quantum” and “non-commutative” as though they are synonyms; they are not. There are man ...
... But the Heisenberg uncertainty relations (as commonly presented) suffer from their own level of excessive mysticism and obfuscation. A distressingly common (but utterly infantile) confusion is to treat the words “quantum” and “non-commutative” as though they are synonyms; they are not. There are man ...
How to determine a quantum state by measurements: The Pauli... with arbitrary potential
... specific state. This result is obtained from explicitly constructing states with identical probability distributions of both position and momentum. It is not known, in general, how large such a set of ‘‘Pauli partners’’ actually is, and which supplementary expectation values would allow one to disti ...
... specific state. This result is obtained from explicitly constructing states with identical probability distributions of both position and momentum. It is not known, in general, how large such a set of ‘‘Pauli partners’’ actually is, and which supplementary expectation values would allow one to disti ...
Measuring And Manipulating Coherence In Photonic And Atomic
... leads to "decoherence," which can be thought of as continual unintentional measurement of n. ...
... leads to "decoherence," which can be thought of as continual unintentional measurement of n. ...
Planck`s law as a consequence of the zeropoint radiation field
... The Planck law has been derived without introducing any discrete property or quantum rule for the field or matter oscillators. This seems to be the kind of derivation that Planck was looking for when he tried to avoid the need to introduce the discrete interchange of energy among field and matter os ...
... The Planck law has been derived without introducing any discrete property or quantum rule for the field or matter oscillators. This seems to be the kind of derivation that Planck was looking for when he tried to avoid the need to introduce the discrete interchange of energy among field and matter os ...