Chapter 34 Quantum Mechanics Chapter 34 Quantum Mechanics 1. Heisenberg Uncertainty Principle 2. Schrodingers Equation
Chapter 34 Quantum Mechanics Chapter 34 Quantum Mechanics 1. Heisenberg Uncertainty Principle 2. Schrödinger’s Equation
Chapter 34 Quantum Mechanics 8 34-2 The Wave Function and Its Interpretation; The Double-slit Experiment 1. Wave function The important properties of any wave are its wavelength, frequency, and amplitude. a)For eletromagnetic wave 1)Wave length is a measure of the energy. E=hf 2) The amplitude is related to the intensity of the wave
Chapter 34 Quantum Mechanics §34-2 The Wave Function and Its Interpretation; The Double-slit Experiment 1. Wave function The important properties of any wave are its wavelength, frequency, and amplitude. E hf 1) Wave length is a measure of the energy. 2) The amplitude is related to the intensity of the wave. a) For eletromagnetic wave
Chapter 34 Quantum Mechanics a)For de broglie's wave 1)Wave length is related to momentum. 1=h/ 2)What corresponds to the amplitude of a matter wave? In quantum mechanics, this role is played by the wave function, which given the symbol, which is displacement as a function of time and positio given the symbol.It represents th
Chapter 34 Quantum Mechanics h / p 1) Wave length is related to momentum. 2) What corresponds to the amplitude of a matter wave? a) For De Broglie’s wave In quantum mechanics, this role is played by the wave function, which given the symbol, which is g i v e n t h e s y m b o l . It r e p r e s e n ts t h e displacement as a function of time and position.
Chapter 34 Quantum Mechanics 1)经典的波与波函数 ◆机械波 y(x, t)=Acos 2(vt- E(x, t)= Eo coS 2T(vt 电磁波 xλx H(x, t)=Ho cos 2t(vt-) ◆经典波为实函数 12兀(vt- y(x, t)=rel ae 2)量子力学波函数(复函数) Wave Function: 描述微观粒子运动的波函数(x,y,z,)
Chapter 34 Quantum Mechanics 1）经典的波与波函数 ( , ) cos 2π ( ) 0 x E x t E t ( , ) cos 2π ( ) 0 x H x t H t 电磁波 ( , ) cos 2π ( ) x 机械波 y x t A t ( , ) Re[ e ] i 2 π ( ) x t y x t A 经典波为实函数 2）量子力学波函数（复函数） 描述微观粒子运动的波函数 Ψ(x, y,z,t) Wave Function:
Chapter 34 Quantum Mechanics The wave function can be written in two forms The time-dependent version; Y(,v,z, t)=y(x, v, z)e o O=2丌∫— angular frequency of matter wave p is complex in the math sense, i2=-1 and the time-independent version y(x, y, 3) -involves a wave function with only spatial dependence(steady state situations). Two questions arise:
Chapter 34 Quantum Mechanics i t x y z t x y z e ( , , , ) ( , , ) 2 f — angular frequency of matter wave The wave function can be written in two forms: The time-dependent version; and the time-independent version: (x, y,z) — involves a wave function with only spatial dependence (steady state situations). is complex in the math sense, 1 2 i Two questions arise: