Statistics of Nuclear Decay The ”radioactivity” of a radioactive
... If we obtain a value for R that is less than 0.7 or greater than 1.3, then most likely our detector is not working properly. It is interesting to note that R cannot be too small. You might think that your detector is really good if the readings are all close to each other every time you take a measu ...
... If we obtain a value for R that is less than 0.7 or greater than 1.3, then most likely our detector is not working properly. It is interesting to note that R cannot be too small. You might think that your detector is really good if the readings are all close to each other every time you take a measu ...
Relativistic Quantum Mechanics
... reproduce itself. A 2π rotation gives a factor -1 in front of the original neutron wave function as predicted for a spin− 21 spinor. So far, one could think about spinors as being identical with Pauli spinors10 of non-relativistic quantum mechanics. This is not quite right. In order to see that, we ...
... reproduce itself. A 2π rotation gives a factor -1 in front of the original neutron wave function as predicted for a spin− 21 spinor. So far, one could think about spinors as being identical with Pauli spinors10 of non-relativistic quantum mechanics. This is not quite right. In order to see that, we ...
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... Quantum computing is a highly nonlinear system (intrinsic feature of a two level system in contrast to a harmonic oscillator. Nonlinear spectroscopy quantifies the behavior. ...
... Quantum computing is a highly nonlinear system (intrinsic feature of a two level system in contrast to a harmonic oscillator. Nonlinear spectroscopy quantifies the behavior. ...
CH107 Special Topics
... • m = -l through 0 to +l (again in integral values). • The energies of the specific quantum states (or orbitals) depend only on n for the H atom (but not for many-electron atoms) and are numerically the same as those for the Bohr H atom. ...
... • m = -l through 0 to +l (again in integral values). • The energies of the specific quantum states (or orbitals) depend only on n for the H atom (but not for many-electron atoms) and are numerically the same as those for the Bohr H atom. ...
A violation of the uncertainty principle implies a violation of the
... a link between the amount of non-locality and the second law of thermodynamics (note that there is no violation of uncertainty classically, it is rather that classical measurements have at most probabilistic notions of uncertainty to begin with). In the following, we focus on the quantum case, that ...
... a link between the amount of non-locality and the second law of thermodynamics (note that there is no violation of uncertainty classically, it is rather that classical measurements have at most probabilistic notions of uncertainty to begin with). In the following, we focus on the quantum case, that ...
fundamental topics in physics
... length L, rigidly fixed at both ends are yn(x,t) = Ansin(n x/L) expjn t where n = 1, 2, 3 …. is an integer. Hence derive the expression for n, the characteristic angular frequency of the string. Discuss how, in principle, yn(x,t) could be used to analyse the harmonic content of the note from a pl ...
... length L, rigidly fixed at both ends are yn(x,t) = Ansin(n x/L) expjn t where n = 1, 2, 3 …. is an integer. Hence derive the expression for n, the characteristic angular frequency of the string. Discuss how, in principle, yn(x,t) could be used to analyse the harmonic content of the note from a pl ...
Characterising Graph Symmetries through Quantum
... graphs represent the quantum mechanical analog of the classical random walk on a graph. Despite being similar in their definition, the dynamics of the two walks differ remarkably. This is mainly due to the fact that while the state vector of the classical random walk is real valued, in the quantum c ...
... graphs represent the quantum mechanical analog of the classical random walk on a graph. Despite being similar in their definition, the dynamics of the two walks differ remarkably. This is mainly due to the fact that while the state vector of the classical random walk is real valued, in the quantum c ...
Hidden Variable Theory
... molecules in your coffee mug. Does that mean statistical mechanics is useless? Certainly not! In fact, it’s one of the most useful branches of physics we have! Just as constraints from classical mechanics makes statistical mechanics useful, constraints from a hidden variable theory might prove usefu ...
... molecules in your coffee mug. Does that mean statistical mechanics is useless? Certainly not! In fact, it’s one of the most useful branches of physics we have! Just as constraints from classical mechanics makes statistical mechanics useful, constraints from a hidden variable theory might prove usefu ...
Quantum Information—S. Lloyd, L. Levitov, T. Orlando, J. H. Shapiro, N.C. Wong
... channels. The problem of maintaining the coherence of quantum information as it is moved from atoms to photons, transported through space, and moved back from photons to atoms, is a difficult one. Exactly because quantum information provides additional opportunities for storing and processing inform ...
... channels. The problem of maintaining the coherence of quantum information as it is moved from atoms to photons, transported through space, and moved back from photons to atoms, is a difficult one. Exactly because quantum information provides additional opportunities for storing and processing inform ...
Probability amplitude
In quantum mechanics, a probability amplitude is a complex number used in describing the behaviour of systems. The modulus squared of this quantity represents a probability or probability density.Probability amplitudes provide a relationship between the wave function (or, more generally, of a quantum state vector) of a system and the results of observations of that system, a link first proposed by Max Born. Interpretation of values of a wave function as the probability amplitude is a pillar of the Copenhagen interpretation of quantum mechanics. In fact, the properties of the space of wave functions were being used to make physical predictions (such as emissions from atoms being at certain discrete energies) before any physical interpretation of a particular function was offered. Born was awarded half of the 1954 Nobel Prize in Physics for this understanding (see #References), and the probability thus calculated is sometimes called the ""Born probability"". These probabilistic concepts, namely the probability density and quantum measurements, were vigorously contested at the time by the original physicists working on the theory, such as Schrödinger and Einstein. It is the source of the mysterious consequences and philosophical difficulties in the interpretations of quantum mechanics—topics that continue to be debated even today.