Theory of resonances in many-body systems: Spectral theory of unbounded Schrödinger operators, complex scaling, and extended virial theorem

1978 ◽  
Vol 14 (4) ◽  
pp. 419-441 ◽  
Author(s):  
Erkki Brändas ◽  
Piotr Froelich ◽  
Michael Hehenberger
Keyword(s):  
Spectral Theory ◽  
Virial Theorem ◽  
Schrödinger Operators ◽  
Schrodinger Operators ◽  
Complex Scaling ◽  
Many Body ◽  
Many Body Systems

scholarly journals Spectral theory of time-periodic many-body systems

2004 ◽  
Vol 188 (1) ◽  
pp. 137-221 ◽  
Author(s):  
Jacob Schach Møller ◽  
Erik Skibsted
Keyword(s):  
Spectral Theory ◽  
Many Body ◽  
Many Body Systems ◽  
Time Periodic

scholarly journals Discrete spectrum of many body Schrödinger operators with non-constant magnetic fields II

1997 ◽  
Vol 145 ◽  
pp. 69-98
Author(s):  
Tetsuya Hattori
Keyword(s):  
Magnetic Field ◽  
Magnetic Fields ◽  
Discrete Spectrum ◽  
Bound States ◽  
Atomic System ◽  
Energy Levels ◽  
Schrödinger Operators ◽  
Schrodinger Operators ◽  
Many Body ◽  
Discrete Energy

This paper is continuation from [10], in which we studied the discrete spectrum of atomic Hamiltonians with non-constant magnetic fields and, more precisely, we showed that any atomic system has only finitely many bound states, corresponding to the discrete energy levels, in a suitable magnetic field. In this paper we show another phenomenon in non-constant magnetic fields that any atomic system has infinitely many bound states in a suitable magnetic field.

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