Identical Particles and Second Quantization: Occupation Number Representation
Keyword(s):
Focusing on systems of many identical particles, Chapter 2 introduces appropriate operators to describe their properties in terms of Schwinger’s “measurement symbols.” The latter are then factorized into “creation” and “annihilation” operators, whose fundamental properties and commutation/anticommutation relations are derived in conjunction with the Pauli exclusion principle. This leads to “second quantization” with the Hamiltonian, number, linear and angular momentum operators expressed in terms of the annihilation and creation operators, as well as the occupation number representation. Finally, the concept of coherent states, as eigenstates of the annihilation operator, having minimum uncertainty, is introduced and discussed in detail.
Keyword(s):
2019 ◽
Vol 27
(2)
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pp. 103-112
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2006 ◽
Vol 20
(11n13)
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pp. 1730-1741
2003 ◽
Vol 68
(12)
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pp. 2344-2354
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2016 ◽
Vol 380
(29-30)
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pp. 2247-2259
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Keyword(s):
1981 ◽
Vol 300
(1456)
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pp. 641-648