Date | Speaker, Title, Abstract |
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Date | Speaker, Title, Abstract |
---|
September 16 | Organizational Meeting |
September 23 |
Speaker: Ira Herbst
Title: The Howland-Kato Commutator Problem Abstract: I will discuss the following question: Suppose f and g are real bounded measurable functions with the property that i[f(P), g(Q)] is a non-negative operator. Here P = −id/dx and Q is multiplication by x in L^2(R). What can be said about f and g? This is joint work with Tom Kriete. |
September 30 | No meeting |
October 7 | No meeting |
October 14 |
Speaker: Leonid Petrov
Title: Interacting particle systems and Bethe ansatz Abstract: I will describe recent advances in bringing a circle of ideas and techniques around Bethe ansatz and Yang–Baxter relation under the probabilistic roof, which provides new examples of stochastic interacting particle systems, and techniques to solve them. In particular, I plan to discuss a new particle dynamics in continuous inhomogeneous medium with features resembling traffic models, as well as queuing systems. This system has phase transitions (discontinuities in the limit shape) and Tracy-Widom fluctuations (even at the point of the phase transition). |
October 21 |
Speaker: Leonid Petrov
Title: Interacting particle systems and Bethe ansatz (cont.) Abstract: I will describe recent advances in bringing a circle of ideas and techniques around Bethe ansatz and Yang–Baxter relation under the probabilistic roof, which provides new examples of stochastic interacting particle systems, and techniques to solve them. In particular, I plan to discuss a new particle dynamics in continuous inhomogeneous medium with features resembling traffic models, as well as queuing systems. This system has phase transitions (discontinuities in the limit shape) and Tracy-Widom fluctuations (even at the point of the phase transition). |
October 28 | No meeting |
November 4 |
Speaker: Rajinder Mavi, Michigan State University
Title: A study in the connection between resonance poles and quantum lifetimes. Abstract: In analogy to discrete eigenvalues of the hydrogen atom, one might reasonably expect that discrete shape resonances vary continuously with respect to a perturbation by a small constant electric field. To the contrary, convergence fails, and any compact set below the positive real axis contains no resonances for small enough field. In contrast, the quantum lifetimes of the resonant states converge as the field goes to zero to the lifetime of the shape resonances - which agree with the resonance widths. This talk covers joint research with Ira Herbst. |
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