Abstract:
A study is made of the adiabatic S-matrix Sα for a normal Fermi system. Expressions are obtained for its matrix elements for small values of α. The connection is established between the operator Sα and the physical scattering matrix for quasiparticles. A unitary operator is found which transforms the Hamiltonian considered into the Hamiltonian of an ideal gas to within terms which are unimportant in a consideration of lowlying excited states.
Citation:
V. N. Likhachev, Yu. S. Tyupkin, A. S. Schwarz, “The adiabatic S-matrix and quasiparticles”, TMF, 2:1 (1970), 3–29; Theoret. and Math. Phys., 2:1 (1970), 1–20
This publication is cited in the following 6 articles:
A. S. Schwarz, “Adiabatic theorem in axiomatic quantum field theory”, Commun.Math. Phys., 39:1 (1974), 33
V. N. Likhachev, “Renormalized $S$ matrix obtained by a smooth interaction cutoff with respect to the spatial variables”, Theoret. and Math. Phys., 16:1 (1973), 651–657
Yu. S. Tyupkin, “On the adiabatic definition of the $S$ matrix in the formalism of $L$ functionals”, Theoret. and Math. Phys., 16:2 (1973), 751–756
V. N. Likhachev, Yu. S. Tyupkin, A. S. Schwarz, “Adiabatic theorem in quantum field theory”, Theoret. and Math. Phys., 10:1 (1972), 42–55
S. S. Ivanov, A. L. Rebenko, “Convergence of perturbation series in field theory models containing fermions”, Theoret. and Math. Phys., 11:2 (1972), 440–450
D. N. Zubarev, G. Röpke, “Nichtgleichgewichts‐Statistische Operatoren und Quasimittelung in der Theorie irreversibler Prozesse”, Fortschr. Phys., 20:8 (1972), 471
Citation in format AMSBIB
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