Download e-book for iPad: Quantum Mechanics: Concepts and Applications, Second Edition by Nouredine Zettili

By Nouredine Zettili

ISBN-10: 0470026782

ISBN-13: 9780470026786

ISBN-10: 0470026790

ISBN-13: 9780470026793

ISBN-10: 0470746564

ISBN-13: 9780470746561

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Extra info for Quantum Mechanics: Concepts and Applications, Second Edition

Sample text

This is the photoelectric effect. – If its energy hF is not sufficient to knock out the electron altogether, it will kick the electron to a higher orbit, provided hF is equal to the energy difference between the initial and final orbits: hF  E n  E m . In the process it will transmit all its energy to the electron and then vanish. The atom will be left in an excited state. However, if hF / E n  E m , nothing will happen (the photon simply scatters away).  If it comes in contact with an atomic nucleus and if its energy is sufficiently high (hF o 2m e c2 ), it will vanish by creating matter: an electron–positron pair will be produced.

If its energy hF is not sufficient to knock out the electron altogether, it will kick the electron to a higher orbit, provided hF is equal to the energy difference between the initial and final orbits: hF  E n  E m . In the process it will transmit all its energy to the electron and then vanish. The atom will be left in an excited state. However, if hF / E n  E m , nothing will happen (the photon simply scatters away).  If it comes in contact with an atomic nucleus and if its energy is sufficiently high (hF o 2m e c2 ), it will vanish by creating matter: an electron–positron pair will be produced.

Lyman series (ultraviolet) ? 6 E 3  151 eV E 2  34 eV E 1  136 eV Discrete spectrum (Bound states: E n  0) ? 12 Energy levels and transitions between them for the hydrogen atom. 74) The energy E n of each state of the atom is determined by the value of the quantum number n. 73) is due to the bound state nature of the atom. That is, states with negative energy E n  0 correspond to bound states. 12 (where, by convention, the energy levels are shown as horizontal lines). As n increases, the energy level separation decreases rapidly.

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Quantum Mechanics: Concepts and Applications, Second Edition by Nouredine Zettili


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