Quantum Physics Schrödinger

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Schrödinger Representation – Schrödinger Equation

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Presentation transcript:

Quantum Physics Schrödinger

Quantum Physics Particle in 1D box - Infinite Potential Classical Bohr Half Quantum Physics: Bohr

Quantum Physics Particle in 1D box - Infinite Potential Scrödinger Equation

Quantum Physics Particle in 1D box - Infinite Potential Scrödinger Equation

U0 Quantum Physics Particle in 1D box - Finite Potential Scrödinger Equation Inside: V(x) = 0 Outside: V(x) = U0 The solutions and it’s derivative must match at the boundary

Quantum Physics Tunneling - Def Outside: V(x) = 0 Inside: V(x) = U0 Tunneling probability T that the particle gets through the barrier is proportional to the square of the ratio of the amplitudes of the sinusoidal wave function on the two sides of the barrier.

Quantum Physics Tunneling - Example - Electron A 2.0 eV electron encounters a barrier 5.0 eV heigh. What is the probability that it will tunnel through the barrier if the barrier width is a) 1.00 nm b) 0.50 nm ? a) b)