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We develop Wignerâ€™s approach to a dynamical transition state theory in phase space in both the classical and quantum mechanical settings. The key to our development is the construction of a normalâ€¦ (More)

For a large class of quantized ergodic flows the quantum ergodicity theorem due to Shnirelman, Zelditch, Colin de VerdiÃ¨re and others states that almost all eigenfunctions become equidistributed inâ€¦ (More)

- Roman Schubert
- 2005

We study the semiclassical behaviour of eigenfunctions of quantum systems with ergodic classical limit. By the quantum ergodicity theorem almost all of these eigenfunctions become equidistributed inâ€¦ (More)

- Roman Schubert
- 1995

We investigate the behaviour of the remainder term R(E) in the Weyl formula #fnjE n Eg = Vol(M) (4) d=2 ?(d=2 + 1) E d=2 + R(E) for the eigenvalues E n of a Schrr odinger operator on a d-dimensionalâ€¦ (More)

We study the behaviour of the normal derivative of eigenfunctions of the Helmholtz equation inside billiards with Dirichlet boundary condition. These boundary functions are of particular importanceâ€¦ (More)

We introduce generalized Husimi functions at the interfaces of dielectric systems. Four different functions can be defined, corresponding to the incident and departing wave on both sides of theâ€¦ (More)

- Florian Richter, Ulrike S Scheib, +6 authors Andreas MÃ¶glich
- Photochemical & photobiological sciencesâ€¦
- 2015

Automation can vastly reduce the cost of experimental labor and thus facilitate high experimental throughput, but little off-the-shelf hardware for the automation of illumination experiments isâ€¦ (More)

- Roman Schubert, Holger Waalkens, Stephen Wiggins
- Physical review letters
- 2006

A quantum version of a recent formulation of transition state theory in phase space is presented. The theory developed provides an algorithm to compute quantum reaction rates and the associatedâ€¦ (More)

- Arseni Goussev, Roman Schubert, Holger Waalkens, Stephen Wiggins
- The Journal of chemical physics
- 2009

The quantum normal form approach to quantum transition state theory is used to compute the cumulative reaction probability for collinear exchange reactions. It is shown that for heavy-atom systemsâ€¦ (More)

- Roman Schubert
- 2008

We study solutions of the time dependent SchrÃ¶dinger equation on Riemannian manifolds with oscillatory initial conditions given by Lagrangian states. Semiclassical approximations describe theseâ€¦ (More)