From Parallel Electric and Magnetic Fields
... linear differential equations. This implies – by the superposition principle – that the sum of any two solutions to Maxwell's equations is yet another solution to Maxwell's equations. E.g., two beams of light pointed toward each other should simply add together their electric fields and pass right t ...
... linear differential equations. This implies – by the superposition principle – that the sum of any two solutions to Maxwell's equations is yet another solution to Maxwell's equations. E.g., two beams of light pointed toward each other should simply add together their electric fields and pass right t ...
The Many Avatars of a Simple Algebra S. C. Coutinho The American
... energy was indeed conserved. Elated, he climbed a rock jutting out into the sea and watched the sun rise. Let us see how Heisenberg arrived at his schepe of quantum mechanics. Consider an electron moving in an atom. If the system were classical, then we would have a function x ( t ) describing the p ...
... energy was indeed conserved. Elated, he climbed a rock jutting out into the sea and watched the sun rise. Let us see how Heisenberg arrived at his schepe of quantum mechanics. Consider an electron moving in an atom. If the system were classical, then we would have a function x ( t ) describing the p ...
Possible large-N fixed-points and naturalness for O(N) scalar fields
... deformation, a mass term, without introducing new naturalness problems. Setting m = 0 (for any λ) is natural, we gain scale invariance by doing so. This line of scale-invariant theories is UV with respect to the mass term, and thus ensures controlled UV behavior. For naturally light scalars via scal ...
... deformation, a mass term, without introducing new naturalness problems. Setting m = 0 (for any λ) is natural, we gain scale invariance by doing so. This line of scale-invariant theories is UV with respect to the mass term, and thus ensures controlled UV behavior. For naturally light scalars via scal ...
Contrast two theories explaining altruism in humans
... Limitations of kin selection theory • The theory cannot explain why people help individuals who are not relatives (e.g. ...
... Limitations of kin selection theory • The theory cannot explain why people help individuals who are not relatives (e.g. ...
Untitled
... of gauge theory in terms of fiber bundles and (B) a Mathematica notebook which can be used to verify some of the longer algebraic calculations in this thesis. Appendix A is mainly the result of an earlier line of investigation, which did not prove fruitful: formulating general relativity as a gauge ...
... of gauge theory in terms of fiber bundles and (B) a Mathematica notebook which can be used to verify some of the longer algebraic calculations in this thesis. Appendix A is mainly the result of an earlier line of investigation, which did not prove fruitful: formulating general relativity as a gauge ...
Quantum Transport Theory in Heterostructure Devices
... theoretical models and techniques may be appropriately applied to the study of quantum devices. For example, the quantum mechanics of pure, normalizable states, such as those employed in atomic physics, does not contribute significantly to an understanding of devices, because such states describe clo ...
... theoretical models and techniques may be appropriately applied to the study of quantum devices. For example, the quantum mechanics of pure, normalizable states, such as those employed in atomic physics, does not contribute significantly to an understanding of devices, because such states describe clo ...
Curriculum Vitae - Quantum Information Theory and Cryptography
... increase asymptotic zero-error capacity, even to the extent that it is equal to the Shannon capacity of the channel. This is particularly surprising in the light of the fact that the rate at which classical data can be sent over a classical channel with arbitrarily small, but non-zero, error probabi ...
... increase asymptotic zero-error capacity, even to the extent that it is equal to the Shannon capacity of the channel. This is particularly surprising in the light of the fact that the rate at which classical data can be sent over a classical channel with arbitrarily small, but non-zero, error probabi ...
Emergence in Effective Field Theories - Philsci
... motion (Newton's second law, for instance) is specified by the values of its position and momentum. In three spatial dimensions, this amounts to 6 degrees of freedom. A dynamical state description of a free classical field φ(x) governed by a second-order partial differential equation of motion is sp ...
... motion (Newton's second law, for instance) is specified by the values of its position and momentum. In three spatial dimensions, this amounts to 6 degrees of freedom. A dynamical state description of a free classical field φ(x) governed by a second-order partial differential equation of motion is sp ...
Universality Laws for Randomized Dimension Reduction
... Dimension reduction is the process of embedding high-dimensional data into a lower dimensional space to facilitate its analysis. In the Euclidean setting, one fundamental technique for dimension reduction is to apply a random linear map to the data. The question is how large the embedding dimension ...
... Dimension reduction is the process of embedding high-dimensional data into a lower dimensional space to facilitate its analysis. In the Euclidean setting, one fundamental technique for dimension reduction is to apply a random linear map to the data. The question is how large the embedding dimension ...
Slide 1
... proposals are new languages. – New languages may be able to perform quantum computation, but lack power for classical computation. – Quantum computing is typically only part of the solution, as in factoring. – Often geared more towards mathematicians and physicists more ...
... proposals are new languages. – New languages may be able to perform quantum computation, but lack power for classical computation. – Quantum computing is typically only part of the solution, as in factoring. – Often geared more towards mathematicians and physicists more ...