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  • 1
    Electronic Resource
    Electronic Resource
    Schrödinger quantization and variational principles in dissipative quantum theory (1994)
    Springer
    The European physical journal 95 (1994), S. 261-273 
    Details
    ISSN: 1434-6036
    Keywords: 03.65 ; 47.10
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Certain phenomenological equations of dissipative quantum theory such as the Caldirola-Kanai equation or Kostin's nonlinear Schrödinger-Langevin equation are considered in the framework of Lagrangian field theory. The role of the Schrödinger quantization procedure in connection with the construction of variational principles for these equations is scrutinized. It is pointed out that incorrect Lagrangians for linearly damped systems have repeatedly been used in the literature. This has led to a considerable amount of confusion and contradictory results. It is demonstrated how a proper use of Schrödinger-quantization yields a correct Lagrangian description — in particular of Kostin's Schrödinger-Langevin equation-whose properties and implications are then investigated. The paper also deals with an application of Noether's theorem, contains some remarks about the introduction of external magnetic fields and points out an analogy in classical hydrodynamics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01312199
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Crystallinity in two dimensions: A note on a paper of C. Radin (1983)
    Springer
    Journal of statistical physics 33 (1983), S. 523-526 
    Details
    ISSN: 1572-9613
    Keywords: Crystal ; ground state ; soft disks ; symmetry
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract To demonstrate the crystallinity of the soft disk ground state, a modified treatment of this model is given, as Radin's proof of a crucial lemma can be shown to be incorrect.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01018831
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    New Exact Ground States for One-Dimensional Quantum Many-Body Systems (2000)
    Springer
    Journal of statistical physics 100 (2000), S. 779-790 
    Details
    ISSN: 1572-9613
    Keywords: ground state ; wave functions of product type ; Calogero–Sutherland systems
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We consider one-dimensional quantum many-body systems with pair interactions in external fields and (re)investigate the conditions under which exact ground-state wave functions of product type can be found. Contrary to a claim in the literature that an exhaustive list of such systems is already known, we show that this list can still be enlarged considerably. In particular, we are able to calculate exact ground-state wave functions for a class of quantum many-body systems with Ax −2+Bx 2 interaction potentials and external potentials given by sixth-order polynomials.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1018683727464
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    The microscopic stress tensor field in particle systems with many-body interactions (1989)
    Springer
    Journal of statistical physics 55 (1989), S. 1293-1302 
    Details
    ISSN: 1572-9613
    Keywords: Stress tensor ; (angular) momentum conservation ; inhomogeneous fluids ; broken symmetries
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract It is argued that the up to now only existing expression for the microscopic stress tensor in the presence of many-body interactions, while being formally acceptable, displays some physical shortcomings. These unpleasant features are remedied by explicitly constructing and symmetrizing a new stress tensor field. With the help of this construction, some recent results on the appearance of extremely long-ranged correlations involving the stress tensor field in systems with spontaneously broken symmetries are generalized.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01041089
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    Paper (German National Licenses)
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