Mathematical principles | Philosophy of mathematics

Bloch's principle

Bloch's Principle is a philosophical principle in mathematicsstated by André Bloch. Bloch states the principle in Latin as: Nihil est in infinito quod non prius fuerit in finito, and explains this as follows: Every proposition in whose statement the actual infinity occurs can be always considered a consequence, almost immediate, of a proposition where it does not occur, a proposition in finite terms. Bloch mainly applied this principle to the theory of functions of a complex variable. Thus, for example, according to this principle, Picard's theorem corresponds to Schottky's theorem, and Valiron's theorem corresponds to Bloch's theorem. Based on his Principle, Bloch was able to predict or conjecture severalimportant results such as the Ahlfors's Five Islands theorem,Cartan's theorem on holomorphic curves omitting hyperplanes, Hayman's result that an exceptional set of radii is unavoidable in Nevanlinna theory. In the more recent times several general theorems were proved which can be regarded as rigorous statements in the spirit of the Bloch Principle: (Wikipedia).

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Bloch's Theorem and Fourier Series

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From playlist Electronics I: Semiconductor Physics and Devices

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Bloch's Theorem in Crystals

https://www.patreon.com/edmundsj If you want to see more of these videos, or would like to say thanks for this one, the best way you can do that is by becoming a patron - see the link above :). And a huge thank you to all my existing patrons - you make these videos possible. In this video

From playlist Electronics I: Semiconductor Physics and Devices

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Bloch Sphere | Visualizing Qubits and Spin | Quantum Information

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From playlist Quantum Mechanics, Quantum Field Theory

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From playlist CSM: Solid State Physics in a Nutshell | CosmoLearning.org Physics

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A very energetic quantum particle starting in a well of a periodic egg carton potential

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From playlist Schrödinger's equation

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From playlist 2018 - T2 - Measurement and Control of Quantum Systems: Theory and Experiments

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14. Solutions of optical Bloch equations, Part 1

MIT 8.422 Atomic and Optical Physics II, Spring 2013 View the complete course: http://ocw.mit.edu/8-422S13 Instructor: Wolfgang Ketterle In this lecture, the professor discussed spectrum and intensity of emitted light. License: Creative Commons BY-NC-SA More information at http://ocw.mit

From playlist MIT 8.422 Atomic and Optical Physics II, Spring 2013

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13. Derivation of optical Bloch equations

MIT 8.422 Atomic and Optical Physics II, Spring 2013 View the complete course: http://ocw.mit.edu/8-422S13 Instructor: Wolfgang Ketterle In this lecture, the professor focused on the derivation of optical Bloch equations. License: Creative Commons BY-NC-SA More information at http://ocw.

From playlist MIT 8.422 Atomic and Optical Physics II, Spring 2013

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A09 The Hamiltonian

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From playlist Physics ONE

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A quantum particle starting in a well of a periodic egg carton potential

Like the video https://youtu.be/DzIZwCeaVkM this one shows a simulation of a quantum particle in a periodic potential. The point of view rotates around the potential landscape, which remains fixed in space. While on the previous video, the initial state was a Gaussian wave packet located n

From playlist Schrödinger's equation

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14. Solutions of optical Bloch equations, Part 2

MIT 8.422 Atomic and Optical Physics II, Spring 2013 View the complete course: http://ocw.mit.edu/8-422S13 Instructor: Wolfgang Ketterle In this video, the professor discussed steady state solutions. License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More cou

From playlist MIT 8.422 Atomic and Optical Physics II, Spring 2013

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12. Resonant interactions

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From playlist MIT 8.422 Atomic and Optical Physics II, Spring 2013

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Stefan Teufel: Peierls substitution for magnetic Bloch bands

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A quite energetic quantum particle starting in a well of a periodic egg carton potential

This fourth simulation of a quantum particle in a periodic potential uses a Gaussian wave packet centered in a potential minimum as initial state, as do the simulations https://youtu.be/tXFBVfJ649w and https://youtu.be/3KJK8sYggOk . The momentum of the initial state has been taken larger

From playlist Schrödinger's equation

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Related pages

Ahlfors theory | André Bloch (mathematician) | Compact space | Complex plane | Bloch's theorem (complex variables) | Actual infinity | Nevanlinna theory | Schottky's theorem | Henri Cartan | Mathematics | Function (mathematics) | Poincaré metric | Walter Hayman