Download - Chapter 2
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Chapter 2
The Schrodinger Equation
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wave function of a free particle.Time dependent Schrodinger equation.The probability density. Expectation values for momentum and
energy.Operators. Relation between expectation values and operators.
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Wave equation
Dr. Maha Torjman
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Classical Wave equation
Dr. Maha Torjman
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Schrödinger Wave equation
Dr. Maha Torjman5
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wave function for a free particle.
Dr. Maha Torjman
E0 = 0 from the relativistic ParticleE0 = 0 from the relativistic Particle
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wave function for a free particle
Dr. Maha Torjman
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9Dr. Maha Torjman
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10Dr. Maha Torjman
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11Dr. Maha Torjman
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Dr. Maha Torjman
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Momentum and Energy operators
Dr. Maha Torjman
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15Dr. Maha Torjman
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( Example using operators )
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Dr. Maha Torjman
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Expectation Value
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Dr. Maha Torjman
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Expectation Values
Dr. Maha Torjman
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Dr. Maha Torjman
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Dr. Maha Torjman
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Dr. Maha Torjman
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Expectation value and operators
Dr. Maha Torjman
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Dr. Maha Torjman
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35Dr. Maha Torjman
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Time-independent Schrodinger equation(1)
Dr. Maha Torjman
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Time-independent Schrodinger equation(2)
Dr. Maha Torjman
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Time-independent Schrodinger equation(3)
Dr. Maha Torjman
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Time-independent Schrodinger equation(4)
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Required properties of eigenfunctions
Dr. Maha Torjman
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Dr. Maha Torjman
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Dr. Maha Torjman
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Example ( standard deviation )
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Dr. Maha Torjman
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Summary(2)
Dr. Maha Torjman
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Homework