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On the Derivation of the TimeDependent Equation of Schro dinger
, 2000
"... Few have done more than Martin Gutzwiller to clarify the connection between classical timedependent motion and the timeindependent states of quantum systems. Hence it seems appropriate to include the following discussion of the origins of the timedependent Schro dinger equation in this volume de ..."
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Few have done more than Martin Gutzwiller to clarify the connection between classical timedependent motion and the timeindependent states of quantum systems. Hence it seems appropriate to include the following discussion of the origins of the timedependent Schro dinger equation in this volume
Physica B 296 (2001) 107}111 SchroK dinger equation with imaginary potential
"... We numerically investigate the solution of the SchroK dinger equation in a onedimensional system with gain. The gain is introduced by adding a positive imaginary potential in the system. We "nd that the timeindependent solution gives that the ampli"cation suppresses wave transmission at ..."
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We numerically investigate the solution of the SchroK dinger equation in a onedimensional system with gain. The gain is introduced by adding a positive imaginary potential in the system. We "nd that the timeindependent solution gives that the ampli"cation suppresses wave transmission
Statistical physics of vehicular traffic and some related systems
 PHYSICS REPORT 329
, 2000
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Quantum Equilibrium and the Origin of Absolute Uncertainty
, 1992
"... The quantum formalism is a "measurement" formalisma phenomenological formalism describing certain macroscopic regularities. We argue that it can be regarded, and best be understood, as arising from Bohmian mechanics, which is what emerges from Schr6dinger's equation for a system of ..."
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Cited by 166 (52 self)
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The quantum formalism is a "measurement" formalisma phenomenological formalism describing certain macroscopic regularities. We argue that it can be regarded, and best be understood, as arising from Bohmian mechanics, which is what emerges from Schr6dinger's equation for a system
A rigorous derivation of the chemical master equation
, 1992
"... It is widely believed that the chemical master equation has no rigorous microphysical basis, and hence no a priori claim to validity. This view is challenged here through arguments purporting to show that the chemical master equation is exact for any gasphase chemical system that is kept well stirr ..."
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Cited by 155 (1 self)
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It is widely believed that the chemical master equation has no rigorous microphysical basis, and hence no a priori claim to validity. This view is challenged here through arguments purporting to show that the chemical master equation is exact for any gasphase chemical system that is kept well
A Quantum Mechanical Supertask
 Foundations of Physics
, 1999
"... That quantum mechanical measurement processes are indeterministic is widely known. The time evolution governed by the differential SchroÈ dinger equation can also be indeterministic under the extreme conditions of a quantum supertask, the quantum analogue of a classical supertask. Determinism can be ..."
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Cited by 19 (2 self)
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be restored by requiring normalizability of the supertask state vector, but it must be imposed as an additional constraint on the differential SchroÈ dinger equation. 1.
NorthHolland Optical turbulence: weak turbulence, condensates and collapsing filaments in the nonlinear Schr6dinger equation*
, 1991
"... The nonlinear Schr6dinger (NLS) equation i ~ t + V2 ~ + al~lS ~ = 0 is a canonical and universal equation which is of major importance in continuum echanics, plasma physics and optics. This paper argues that much of the observed solution behavior in the critical case sd = 4, where d is dimension an ..."
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important for the realization of the various equilibrium spectra, thermodynamic, pure Kolmogorov and combinations thereof. We also present timedependent, selfsimilar solutions which describe the relaxation of the system towards these equilibrium states. We show that the number of particles lost
A minimaxprinciple for eigenvalues in spectral gaps: Dirac operators with Coulomb potentials
 8] Ira W. Herbst. Spectral theory of the operator (p2 + m2)1/2  Ze2/r.Comm. Math. Phys
, 1999
"... Aminimax principle is derived for the eigenvalues in the spectral gap of a possibly nonsemibounded selfadjoint operator. It allows the nth eigenvalue of the Dirac operator with Coulomb potential from below to be bound by the nth eigenvalue of a semibounded Hamiltonian which is of interest in the c ..."
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Cited by 46 (6 self)
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in the context of stability of matter. As a second application it is shown that the Dirac operator with suitable nonpositive potential has at least as many discrete eigenvalues as the Schro $ dinger operator with the same potential. 1.
Results 1  10
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