In mathematical complex analysis, Schottky's theorem, introduced by Schottky is a quantitative version of Picard's theorem. It states that for a holomorphic function f in the open unit disk that does not take the values 0 or 1, the value of |f(z)| can be bounded in terms of z and f(0). Schottky's original theorem did not give an explicit bound for f. Ostrowski gave some weak explicit bounds. , theorem B) gave a strong explicit bound, showing that if f is holomorphic in the open unit disk and does not take the values 0 or 1 then . Several authors, such as , have given variations of Ahlfors's bound with better constants: in particular gave some bounds whose constants are in some sense the best possible. (Wikipedia).
Dealing with Schrodinger's Equation - The Hamiltonian
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From playlist Quantum Mechanics
Irreducibility and the Schoenemann-Eisenstein criterion | Famous Math Probs 20b | N J Wildberger
In the context of defining and computing the cyclotomic polynumbers (or polynomials), we consider irreducibility. Gauss's lemma connects irreducibility over the integers to irreducibility over the rational numbers. Then we describe T. Schoenemann's irreducibility criterion, which uses some
From playlist Famous Math Problems
What is the Schrödinger Equation? A basic introduction to Quantum Mechanics
This video provides a basic introduction to the Schrödinger equation by exploring how it can be used to perform simple quantum mechanical calculations. After explaining the basic structure of the equation, the infinite square well potential is used as a case study. The separation of variab
From playlist Quantum Physics
Tobias Weich: Resonance chains on Schottky surfaces
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist SPECIAL 7th European congress of Mathematics Berlin 2016.
Schrodinger's Equation for wave functions in Quantum Physics. My Patreon Page is at https://www.patreon.com/EugeneK
From playlist Physics
Jan-Hendrik Evertse: On Scmidt's subspace theorem
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Number Theory
Complex Analysis (Advanced) -- The Schwarz Lemma
A talk I gave concerning my recent results on the Schwarz Lemma in Kähler and non-Kähler geometry. The talk details the classical Schwarz Lemma and discusses André Bloch. This is part 1 of a multi-part series. Part 1 -- https://youtu.be/AWqeIPMNhoA Part 2 -- https://youtu.be/hd7-iio77kc P
From playlist Complex Analysis
Aaron Silberstein - Plane Curve Singularities and the Absolute Galois Group of Q
Plane Curve Singularities and the Absolute Galois Group of Q
From playlist Center of Math Research: the Worldwide Lecture Seminar Series
Complex Analysis (Advanced) -- This murderer inspired the results of my Ph.D. thesis
Excerpt from a talk I gave concerning my recent results on the Schwarz Lemma in Kähler and non-Kähler geometry. The talk details the classical Schwarz Lemma and discusses André Bloch. This is part 1 of a multi-part series. Part 1 -- https://youtu.be/AWqeIPMNhoA Part 2 -- https://youtu.be/
From playlist Complex Analysis
The Schrodinger Equation is (Almost) Impossible to Solve.
Sure, the equation is easily solvable for perfect / idealized systems, but almost impossible for any real systems. The Schrodinger equation is the governing equation of quantum mechanics, and determines the relationship between a system, its surroundings, and a system's wave function. Th
From playlist Quantum Physics by Parth G
Physics - Ch 66 Ch 4 Quantum Mechanics: Schrodinger Eqn (13 of 92) Time & Position Dependencies 2/3
Visit http://ilectureonline.com for more math and science lectures! In this video I will find C=?, of the position part of the Schrodinger's equation by using the time dependent part of Schrodinger's equation, part 2/3. Next video in this series can be seen at: https://youtu.be/1mxipWt-W
From playlist PHYSICS 66.1 QUANTUM MECHANICS - SCHRODINGER EQUATION
A quantum particle in a periodic egg carton potential
This simulation of a quantum particle in a periodic particle explores a new visualization, in which the z-coordinate is the sum of the potential, and another quantity related to the wave function (either its real part, or its modulus squared). There is a detailed theory on Schrödinger's eq
From playlist Schrödinger's equation
David Borthwick: Asymptotics of resonances for hyperbolic surfaces
Abstract: After a brief introduction to the spectral theory of hyperbolic surfaces, we will focus on the problem of understanding the asymptotic distribution of resonances for hyperbolic surfaces. The theory of open quantum chaotic systems has inspired several interesting conjectures about
From playlist Mathematical Physics
Fourier decay for limit sets - Semyon Dyatlov
Emerging Topics Working Group Topic: Fourier decay for limit sets Speaker: Stéphane Nonnemache Affiliation: Semyon Dyatlov Date: October 13, 2017 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Separation of variables and the Schrodinger equation
A brief explanation of separation of variables, application to the time-dependent Schrodinger equation, and the solution to the time part. (This lecture is part of a series for a course based on Griffiths' Introduction to Quantum Mechanics. The Full playlist is at http://www.youtube.com/
From playlist Mathematical Physics II - Youtube
Schottky Diode Part 1 - Band Diagram
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
Lewis Bowen - L2 invariants and Benjamini-Schramm convergence
October 30, 2015 - Princeton University Does there exist a sequence of free subgroups Fk of the isometry group of hyperbolic n-space such that the Cheeger constant of the quotient space Hn/Fk tends to zero as k tends to infinity? I will explain how to answer this (and related questions) w
From playlist Minerva Mini Course - Lewis Bowen
Schottky Diode Part 2 - Depletion Region and Capacitance
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
Physics - Chapt. 66 Quantum Mechanics (8 of 9) Schrodinger's Equation
Visit http://ilectureonline.com for more math and science lectures! In this video I will introduce Schrodinger and explain his partial differential equation describing how the quantum state changes with time. Next video in the series can be seen at: https://youtu.be/lptfhi_cQLc
From playlist PHYSICS 66 - QUANTUM MECHANICS
Iteration in Schottky space - Ian Biringer
Ian Biringer, Boston College October 5, 2015 http://www.math.ias.edu/wgso3m/agenda 015-2016 Monday, October 5, 2015 - 08:00 to Friday, October 9, 2015 - 12:00 This workshop is part of the topical program "Geometric Structures on 3-Manifolds" which will take place during the 2015-2016 aca
From playlist Workshop on Geometric Structures on 3-Manifolds