PDF4PRO ⚡AMP

Modern search engine that looking for books and documents around the web

Example: air traffic controller

Quantum Mechanics with Mathematica

Quantum Mechanics with MathematicaA tutorial for instructorsDaniel V. SchroederWeber State UniversityJuly 2019 IntroductionFor more than 20 years I have used Mathematica as a computational and visualizationtool when I teach Quantum Mechanics both at the upper-division level and in asophomore-level modern physics course. My goal in this tutorial is to help otherinstructors do the find Mathematica useful (in fact, almost indispensable) in these courses forseveral reasons: It allows students to quickly and easily plot any function, directly from itsformula, often with only a single line of code. With only a little more effort students can produce multidimensional plots,animated plots, and plots of complex-valued functions that use color hue torepresent phase.

Special functions such as Hermite polynomials and spherical harmonics are built into Mathematica. Mathematica provides easy-to-use routines for numerical integration, solving ODEs, and diagonalizing matrices. Coding a PDE-solving algorithm is no harder in Mathematica than in any other language (although execution speed can sometimes be an issue).

Fullscreen Download

Tags:

  Polynomials, Hermite, Hermite polynomials

Information

Domain:

Source:

Link to this page:

Please notify us if you found a problem with this document:

Spam in document Broken preview Other abuse

Transcription of Quantum Mechanics with Mathematica

Documents from same domain

12. The Principles of Quantum Mechanics - physics.weber.edu

physics.weber.edu

the principles of quantum mechanics to a broader variety of systems: multiple dimensions of space, multiple particles, and particles that have internal degrees of freedom.

  Principles, Mechanics, Quantum, The principles of quantum mechanics

Plotting functions of more than one variable with Mathematica

physics.weber.edu

Plotting functions of more than one variable with Mathematica Physics 3510, Weber State University This tutorial assumes that you are already somewhat familiar with Mathematica.

  More, Than, With, Functions, Variable, Plotting, Mathematica, Plotting functions of more than one variable with mathematica

Thermal Energy - Weber State University

physics.weber.edu

4 Chapter 3 Thermal Energy per kilogram, while boiling water requires 540 kcal per kilogram. Each of these numbers is called the latent heat of the corresponding phase change. In general, Latent heat = thermal energy input mass (to accomplish the phase change), (3.6) or in symbols, L = ∆E t m (to accomplish the phase change). (3.7)

  Thermal, Heat, Energy, Thermal energy

Physics Simulations in Python

physics.weber.edu

An earlier version of this manual used the Java programming language, intro-duced by Sun Microsystems (now Oracle) in 1995. Although based on C and C++, Java is easier to learn and use, and comes with standard cross-platform libraries for graphics and other common tasks. Its computational performance is remarkably

  Java

An Introduction to Thermal Physics

physics.weber.edu

An Introduction to Thermal Physics Daniel V. Schroeder Weber State University This collectionof figures and tables is provided for the personal and classroom use of students and instructors. Anyone is welcome to download this document and save a personal copy for reference. Instructors are welcome to incorporate these figures

  Introduction, Thermal, Physics, An introduction, Thermal physics

2. Wavefunctions

physics.weber.edu

c 2015{2016, Daniel V. Schroeder To create a precise theory of the wave properties of particles and of measurement probabilities, we introduce the concept of a wavefunction: a function of space that encodes the current state of a system. For now, we’ll assume that the \system" consists of a single particle living in a one-dimensional universe.

  Schroeder, Wavefunctions

10. Momentum Space - Weber State University

physics.weber.edu

momentum probabilities just as you would use (x) to calculate position probabil-ities: Probability of nding particle between p 1 and p 2 = Z p 2 p 1 j( p)j2 dp: (10) Of course, this formula doesn’t make sense unless ( p) is properly normalized, so that the integral from 1 to 1equals 1. But as you might guess, this will always

  Probabilities, Probabil ities, Probabil, Ities

Thermal Energy - Weber State University

physics.weber.edu

2 Chapter 3 Thermal Energy perature, and E t for thermal energy. But the equation involves not T itself but the change in T during the energy-input process. The standard symbol for “change” is the Greek letter delta (∆), so the change in T is written ∆T.Similarly, the thermal

  Thermal

The Focal Length of Lenses

physics.weber.edu

Focal length of lenses 3 20 30 10 0 lens d sag (b) L (a) {Figure 1: (a) The top view of a spherometer. (b)Speherometr on a convex lens. The figure shows the definition of L, and sagittal distance dsag. screw at the lens’ center.

  Falco

Related documents

9. Harmonic Oscillator - MIT OpenCourseWare

ocw.mit.edu

31 For more details on Hermite Polynomials and their generator function, look on Cohen-Tannoudji. Online information from: Eric W. Weisstein. Hermite Polynomial. From MathWorld–A Wolfram Web Resource. 82. 9.1.4 Heisenberg picture We want now to study the time-evolution of the h.o. We first start with analyzing the evolution of the operators in

  Mit opencourseware, Opencourseware, Polynomials, Hermite, Hermite polynomials

Hermite interpolation - Cornell University

www.cs.cornell.edu

mials that satisfy Hermite interpolation conditions (sometimes referred to by the acronym PCHIP or Piecewise Cubic Hermite Interpolating Polynomials). That is, the function values and derivatives are speci ed at each nodal point. If we don’t actually have derivative values prescribed at the nodal points,

  Polynomials, Hermite

A Brief Introduction to Olympiad Inequalities - Evan Chen

web.evanchen.cc

The fundamental intuition is being able to decide which symmetric polynomials of a given degree are bigger. For example, for degree 3, the polynomial a3 + b3 + c3 is biggest and abcis the smallest. Roughly, the more \mixed" polynomials are the smaller. From this, for example, one can immediately see that the inequality (a+ b+ c)3 a3 + b3 + c3 ...

  Polynomials

Related search queries

MIT OpenCourseWare, Hermite Polynomials, Hermite, Polynomials