Holstein, Barry
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Professor Emeritus, Physics Department
Last Name
Holstein
First Name
Barry
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Physics
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Publication THE ADIABATIC THEOREM AND BERRYS PHASE(1989) Holstein, BRA study is presented of Berry’s observation that when a quantum‐mechanical system is transported on a closed adiabatic journey, a topological phase arises in addition to the usual dynamical phase expected from the adiabatic theorem. Consequences are explored in the case of a simple magnetic moment–magnetic field interaction and are shown to lead, among other things, to Dirac’s famous relation between electric and magnetic charges.Publication Understanding alpha decay(1996) Holstein, BRThe subject of alpha decay is an important part of a course in modern physics, as it provides a clear experimental manifestation of the phenomenon of barrier penetration. The traditional approach, based on Gamow’s complex eigenvalue method, raises a number of questions which can be answered by employing the older but less well‐known procedure of summing over scattering states. Additional insights are gained by examination of the alpha decay system via more contemporary path integral based techniques.Publication Generalized polarizabilities and the chiral structure of the nucleon(1998) Hemmert, TR; Holstein, BR; Knochlein, G; Scherer, SWe discuss the virtual Compton scattering reaction e−p → e−pγ at low energies. We present results for the generalized polarizabilities of the nucleon obtained in heavy baryon chiral perturbation theory at O(p3).Publication SU(3) baryon chiral perturbation theory and long distance regularization(1999) Donoghue, JF; Holstein, BR; Borasoy, BThe use of SU(3) chiral perturbation theory in the analysis of low energy meson-baryon interactions is discussed. It is emphasized that short distance effects, arising from propagation of Goldstone bosons over distances smaller than a typical hadronic size, are modeldependent and can lead to a lack of convergence in the SU(3) chiral expansion if they are included in loop diagrams. In this paper we demonstrate how to remove such effects in a chirally consistent fashion by use of a cutoff and demonstrate that such removal ameliorates problems which have arisen in previous calculations due to large loop effects.Publication The linear potential propagator(1997) Holstein, BRThe Feynman propagator for the case of a linear potential is evaluated by a variety of means.Publication EFFECTIVE LAGRANGIANS AND QUANTUM-MECHANICS - THE INDEX OF REFRACTION(1989) Holstein, BRUsing path integral quantization of a harmonic oscillator–electric field system, it is demonstrated how the familiar expression for the index of refraction of a gas can be obtained by use of the so‐called effective Lagrangian.Publication Chiral Perturbation Theory: a Primer(1995) Holstein, BRRecently methods have been developed which exploit the chiral symmetry of QCD in order to make rigorous contact with low energy particle physics phenomenology. In these lectures we present a pedagogical introduction to these techniques.Publication Virtual Compton scattering off the nucleon in chiral perturbation theory(1997) Hemmert, TR; Holstein, BR; Knochlein, G; Scherer, SWe investigate the spin-independent part of the virtual Compton scattering (VCS) amplitude off the nucleon within the framework of chiral perturbation theory. We perform a consistent calculation to third order in external momenta according to Weinberg’s power counting. With this calculation we can determine the second- and fourth-order structure-dependent coefficients of the general low-energy expansion of the spin-averaged VCS amplitude based on gauge invariance, crossing symmetry, and the discrete symmetries. We discuss the kinematical regime to which our calculation can be applied and compare our expansion with the multipole expansion by Guichon, Liu, and Thomas. We establish the connection of our calculation with the generalized polarizabilities of the nucleon where it is possible.Publication Chiral perturbation theory: An effective field theory(2008-01) Holstein, BRPublication THE HARMONIC-OSCILLATOR VIA FUNCTIONAL TECHNIQUES(1988) Donoghue, JF; Holstein, BRAlthough functional methods are common in the research literature, they are not generally seen by students until a course in field theory. Nevertheless, it is straightforward and pedagogically useful to treat a familiar problem—the harmonic oscillator—via such techniques, as shown in the present work.