Guztwiller’s Trace Formula is central to the semiclassical theory of quantum energy levels and spectral statistics in classically chaotic systems. Motivated by recent developments in Random Matrix Theory and Number Theory, we elucidate a hierarchical structure in the way periodic orbits contribute to the Trace Formula that has implications for the value distribution of spectral determinants in quantum chaotic systems
Despite considerable progress during the past decades in devising a semiclassical theory for classic...
Despite considerable progress during the last decades in devising a semiclassical theory for classic...
Despite considerable progress during the last decades in devising a semiclassical theory for classic...
Guztwiller's Trace Formula is central to the semiclassical theory of quantum energy levels and spect...
Despite considerable progress during the past decades in devising a semiclassical theory for classic...
We derive semiclassical trace formulae including Gutzwiller's trace formula using coherent states. T...
We consider Hamiltonian systems which can be described both classically and quantum mechanically. Tr...
Abstract. We derive semiclassical trace formulae including Gutzwiller’s trace formula using coher-en...
Oscillations in the probability density of quantum transitions of the eigenstates of a chaotic Hamil...
Energy level statistics of quantized chaotic systems have been evaluated in the semiclassical limit ...
We discuss the number variance #SIGMA#"2(L) and the spectral form factor F(#tau#) of the energy...
Thesis (Ph.D.), Physics, Washington State UniversityRare sets of classical orbits, such as the heter...
In the periodic orbit quantization of physical systems, usually only the leading-order $\hbar$ cont...
Despite considerable progress during the past decades in devising a semiclassical theory for classic...
Despite considerable progress during the past decades in devising a semiclassical theory for classic...
Despite considerable progress during the past decades in devising a semiclassical theory for classic...
Despite considerable progress during the last decades in devising a semiclassical theory for classic...
Despite considerable progress during the last decades in devising a semiclassical theory for classic...
Guztwiller's Trace Formula is central to the semiclassical theory of quantum energy levels and spect...
Despite considerable progress during the past decades in devising a semiclassical theory for classic...
We derive semiclassical trace formulae including Gutzwiller's trace formula using coherent states. T...
We consider Hamiltonian systems which can be described both classically and quantum mechanically. Tr...
Abstract. We derive semiclassical trace formulae including Gutzwiller’s trace formula using coher-en...
Oscillations in the probability density of quantum transitions of the eigenstates of a chaotic Hamil...
Energy level statistics of quantized chaotic systems have been evaluated in the semiclassical limit ...
We discuss the number variance #SIGMA#"2(L) and the spectral form factor F(#tau#) of the energy...
Thesis (Ph.D.), Physics, Washington State UniversityRare sets of classical orbits, such as the heter...
In the periodic orbit quantization of physical systems, usually only the leading-order $\hbar$ cont...
Despite considerable progress during the past decades in devising a semiclassical theory for classic...
Despite considerable progress during the past decades in devising a semiclassical theory for classic...
Despite considerable progress during the past decades in devising a semiclassical theory for classic...
Despite considerable progress during the last decades in devising a semiclassical theory for classic...
Despite considerable progress during the last decades in devising a semiclassical theory for classic...