The photothermal spectra of the shallow acceptor boron in high purity p-Ge has been investigated for various magnetic field strengths at low temperatures. A large number of lines observed at frequencies above the binding energy of boron are attributed to optical excitation of quasi-bound Coulomb states, which arise in a magnetic field below each Landau level. By comparison with calculated Landau level energies the final states of the observed transitions can be unambigously identified.Shallow impurities in semiconductors represent hydrogen-like systems for which the high magnetic field case can be exprimentally realized by standard laboratory magnets due to the large effective Bohr radius. Therefore the optical excitation spectra of shallow impurities in a uniform magnetic field have been extensively studied by far-infrared (FIR) photothermal ionization and photoionization spectroscopy [1]. The hydrogen atom in a magnetic field is a fundamental problem of quantum theory, which cannot be solved in closed form because of different symmetries of the Coulomb potential and the uniform magnetic field. The energy spectrum of this system consists besides of continuum states, corresponding to Landau levels with quantum number n, of bound (stable) or quasi-bound (metastable) Coulomb states depending on their angular momentum quantum number m [2,3]. Due to the relation m < n, the Coulomb states connected with the higher Landau levels n > 1 and m < n -1 are degenerate with the continuum of lower Landau levels with the same m quantum number, to which they are coupled by the Coulomb potential. Thus autoionization transitions may occur and, therefore, these states are called quasi-bound or metastable. In contrast, the Coulomb states connected with the lowest Landau level n = 0 and m < 0 and those with n = m, which are not degenerate with a continuum, are bound or stable.In a previous investigation of shallow donors in nGaAs several structures in FIR photoconductivity spectra could be attributed to optical transitions from the donor ground state to those metastable states [4]. The identification of the final states was based on the fact that pairs of states with m = 4-1 separated by the cyclotron resonance energy hwc are optically accessible in Faraday configuration from the donor ground state using unpolarized light. In the fourfold degenerate valence band of tetrahedrally coordinated semiconductors the situation is more complex because the Landau levels are irregularly spaced [5]. Zverev et al. analyzed p-Ge in detail by investigating magneto-photoconductivity upon monochromatic irradiation [6] and optical phonon emission induced resonant recombination of holes excited by broad band infrared illumination [7]. For each degenerate Landau level they observed a single resonance attributed to quasi-bound acceptor states.In the present paper we report on FIR photoconductivity measurements on boron doped p-Ge carried out by Fourier-spectroscopy. In high purity samples a whole series of spectral lines has been observed and identified...