ConcepTest #69 The time independent Schroedinger equation for the particle in the box is (inside the box). The wave function is proposed as a possible.

Slides:



Advertisements
Similar presentations
Chapter 25 Electric Potential.
Advertisements

ConcepTest 20.1a Magnetic Force I
Introduction to Quantum Theory
Boyce/DiPrima 9th ed, Ch 2.5: Autonomous Equations and Population Dynamics Elementary Differential Equations and Boundary Value Problems, 9th edition,
Curve Sketching Learning Outcomes  Make tables and draw the graphs of various equations to include: Linear Functions Quadratic Functions Cubic Functions.
ConcepTest 19.3 Magnetic Field xy A proton beam enters into a magnetic field region as shown below. What is the direction of the magnetic field B? 1) +
1 Chapter 40 Quantum Mechanics April 6,8 Wave functions and Schrödinger equation 40.1 Wave functions and the one-dimensional Schrödinger equation Quantum.
2/22/06 Waves & The Wave Equation CH 15, #33: neat application, but not really waves. Leave till end Thursday: Computer Exercise #2, meet in Olin 269 (Astro.
ConcepTest #65 Consider the following graph of a wave function for a particle. a) At what point(s) are you most likely to find the particle? Hold up as.
Infinite Square Well “Particle in a Box”: Hydrogen (like) Atom Bohr Model: eV Bohr radius: a 0 = nm Orbital angular momentum.
ConcepTest #72 Look at the potential well sketched to the right. A particle has energy E which is less than the energy of the barrier U 0 located at 5.
1 Recap T.I.S.E  The behaviour of a particle subjected to a time-independent potential is governed by the famous (1-D, time independent, non relativisitic)
Almost all detection of visible light is by the “photoelectric effect” (broadly defined.) There is always a threshold photon energy for detection, even.
Determine whether each curve below is the graph of a function of x. Select all answers that are graphs of functions of x:
EXAMPLE 1 Identify arithmetic sequences
Use intercepts to graph an equation
EXAMPLE 3 Write an equation for a function
Practicing with Graphs
EXAMPLE 2 Write a rule for the nth term Write a rule for the nth term of the sequence. Then find a 7. a. 4, 20, 100, 500,... b. 152, –76, 38, –19,... SOLUTION.
Functions of Two Variables Often a dependent variable depends on two or more independent variables: –The temperature T at a point on the surface of the.
Physics Lecture 15 10/29/ Andrew Brandt Wednesday October 29, 2014 Dr. Andrew Brandt 0. Hw’s due on next 3 Mondays, test on Nov Wells+Barriers.
Physics 361 Principles of Modern Physics Lecture 14.
Topic 5: Schrödinger Equation
3.1 Solving equations by Graphing System of equations Consistent vs. Inconsistent Independent vs. Dependent.
SOLUTION STEP 1 Use intercepts to graph an equation EXAMPLE 2 Graph the equation x + 2y = 4. x + 2y = 4 x =  x- intercept 4 Find the intercepts. x + 2(0)
Physics 361 Principles of Modern Physics Lecture 11.
Graphing Exponential Decay Functions In this lesson you will study exponential decay functions, which have the form ƒ(x) = a b x where a > 0 and 0 < b.
Notes Over 8.2 Recognizing Exponential Growth and Decay Exponential Growth Model Exponential Decay Model.
EXAMPLE 7 Graph logarithmic functions Graph the function. SOLUTION a.y = 3 log x Plot several convenient points, such as (1, 0), (3, 1), and (9, 2). The.
This screen shows two lines which have exactly one point in common. The common point when substituted into the equation of each line makes that equation.
Example 2 Graphing Using Slope-Intercept Form 1
EXAMPLE 3 Graph y = ab + k for 0 < b < 1 x – h Graph y = 3 –2. State the domain and range. 1 2 x+1 SOLUTION Begin by sketching the graph of y =, which.
Unit 9 Review Find the equation of the axis of symmetry, along with the coordinates of the vertex of the graph and the y-intercept, for the following equation.
Graphing Exponential Growth and Decay. An exponential function has the form b is a positive number other than 1. If b is greater than 1 Is called an exponential.
Quadratic Functions Sketching the graph of Quadratic Functions.
Exponential Functions 4.3 **You might want graph paper**
Physics for Scientists and Engineers, 6e
Modern Physics lecture 4. The Schroedinger Equation As particles are described by a wave function, we need a wave equation for matter waves As particles.
Functions 2 Copyright © Cengage Learning. All rights reserved.
EXAMPLE 7 Graph logarithmic functions Graph the function. SOLUTION a.y = 3 log x Plot several convenient points, such as (1, 0), (3, 1), and (9, 2). The.
Oscillations By M.P.Chaphekar. Types Of Motion 1.Translational Motion 2. Rotational Motion 3. Oscillatory Motion.
1924: de Broglie suggests particles are waves Mid-1925: Werner Heisenberg introduces Matrix Mechanics In 1927 he derives uncertainty principles Late 1925:
ConcepTest 20.1a Magnetic Force I 1) out of the page 2) into the page 3) downwards 4) to the right 5) to the left A positive charge enters a uniform magnetic.
EXAMPLE: Graph 1 shows the variation with time t of the displacement d of a traveling wave. Graph 2 shows the variation with distance x along the same.
Quantum Mechanics.
Quantum Mechanics IV Quiz
Using The Discriminant
Warmup 3-7(1) For 1-4 below, describe the end behavior of the function. -12x4 + 9x2 - 17x3 + 20x x4 + 38x5 + 29x2 - 12x3 Left: as x -,
Aim: What is the exponential function?
Use Green's Theorem to evaluate the double integral
Copyright © Cengage Learning. All rights reserved.
Area Between Polar Curves
6.4 Integration of exponential reciprocal of x and some trig functions
Using Functions Involving e
Particle in a Box.
Ordered pairs: ( , ) ( , ) ( , ) Ordered pairs: ( , ) ( , ) ( , )
Moving along number line
6.9 Graphing Exponential Equations
Concept test 14.1 Is the function graph d below a possible wavefunction for an electron in a 1-D infinite square well between
Particle in a box Potential problem.
5.1 Solving Systems of Equations by Graphing
Unit 9 Review.
CHAPTER 3 PROBLEMS IN ONE DIMENSION Particle in one dimensional box
Warm-Up 1) Sketch a graph of two lines that will never intersect.
Section 5.2 Functions.
8.3 – Model Periodic Behavior
Warm Up Using the quadratic formula find the zeros of the following:
and Parametric Equations
Exponential Verses Linear
Equations & Graphing Algebra 1, Unit 3, Lesson 5.
Presentation transcript:

ConcepTest #69 The time independent Schroedinger equation for the particle in the box is (inside the box). The wave function is proposed as a possible solution to the Schroedinger equation. Which of the following is ?

ConcepTest #70 According to the Schroedinger equation, the behavior of the wave function  in a given region of x depends on whether E > U or E < U in that region. Which of the following is correct about the graph of  vs. x ? 1. When E > U,  curves towards the axis, and thus is exponential. 2. When E > U,  curves away from the axis, and thus is exponential. 3. When E > U,  curves towards the axis, and thus is oscillatory. 4. When E > U,  curves away from the axis, and thus is oscillatory.

ConcepTest #71 A particle with total energy E > U 2 is approaching a step barrier with U 2 > U 2, as sketched. Consider the region 1 to the left of the step, and the region 2 to the right of the step, as shown, along with the following choices: a) Where is the kinetic energy of the particle larger? b) Where is the wavelength of the particle larger?