scholarly journals Spectral stochastic processes arising in quantum mechanical models with a non-L 2 ground state

1995 ◽  
Vol 35 (3) ◽  
pp. 251-262 ◽  
Author(s):  
J. L�ffelholz ◽  
G. Morchio ◽  
F. Strocchi
Keyword(s):  
Stochastic Processes ◽  
Ground State ◽  
Quantum Mechanical ◽  
Mechanical Models

scholarly journals SUPERSYMMETRY: A CONSEQUENCE OF SMOOTHNESS?

2002 ◽  
Vol 17 (15) ◽  
pp. 2073-2093
Author(s):  
H. B. NIELSEN ◽  
S. PALLUA ◽  
P. PRESTER
Keyword(s):  
Ground State ◽  
Vacuum Energy ◽  
Point Of View ◽  
Quantum Mechanical ◽  
Ground State Properties ◽  
Mechanical Models ◽  
Supersymmetric Theories

The consequences of certain simple assumptions like smoothness of ground state properties and vanishing of the vacuum energy (at least perturbatively) are explored. It would be interesting from the point of view of building realistic theories to obtain these properties without supersymmetry. Here we show, however, at least in some quantum mechanical models, that these simple assumptions lead to supersymmetric theories.

scholarly journals Models for the BPS Berry connection

2020 ◽  
pp. 2150007
Author(s):  
Satoshi Ohya
Keyword(s):  
Ground State ◽  
Monotonic Function ◽  
Quantum Mechanical ◽  
Model Parameters ◽  
State Sector ◽  
Yang Mills ◽  
Systematic Construction ◽  
Mechanical Models

Motivated by the Nahm’s construction, in this paper, we present a systematic construction of Schrödinger Hamiltonians for a spin-1/2 particle where the Berry connection in the ground-state sector becomes the Bogomolny–Prasad–Sommerfield (BPS) monopole of SU(2) Yang–Mills–Higgs theory. Our construction enjoys a single arbitrary monotonic function, thereby creating infinitely many quantum-mechanical models that simulate the BPS monopole in the space of model parameters.

The Riccati–Padé quantization method for one-dimensional quantum-mechanical models

1996 ◽  
Vol 74 (9-10) ◽  
pp. 697-700 ◽  
Author(s):  
Francisco M. Fernández ◽  
R. H. Tipping
Keyword(s):  
Ground State ◽  
Logarithmic Derivative ◽  
Quantum Mechanical ◽  
Quantization Method ◽  
Anharmonic Oscillators ◽  
Eigenvalues And Eigenfunctions ◽  
One Dimensional ◽  
Continuum States ◽  
Separable Models ◽  
Mechanical Models

We improve on a previously developed method for the calculation of accurate eigenvalues and eigenfunctions of separable models in quantum mechanics. It consists of the approximation of the logarithmic derivative of the eigenfunction by means of a rational function or Padé approximant. Here we modify the approach by the separation of the function just mentioned into its odd and even parts, thus making the procedure more efficient for treating asymmetric one-dimensional potentials. We obtain the ground-state eigenvalue of anharmonic oscillators with one and two wells and the lowest resonances of anharmonic oscillators that support only continuum states.

STRUCTURE, STABILITY, AND ELECTRONIC PROPERTIES OF LARGE FULLERENES

1993 ◽  
Vol 07 (26) ◽  
pp. 4305-4329 ◽  
Author(s):  
C.Z. WANG ◽  
B.L. ZHANG ◽  
K.M. HO ◽  
X.Q. WANG
Keyword(s):  
Total Energy ◽  
Electronic Properties ◽  
Ground State ◽  
Relative Stability ◽  
Chemical Reactivity ◽  
Structure Stability ◽  
Quantum Mechanical ◽  
Efficient Scheme ◽  
Ground State Structures ◽  
Fullerene Clusters

The recent development in understanding the structures, relative stability, and electronic properties of large fullerenes is reviewed. We describe an efficient scheme to generate the ground-state networks for fullerene clusters. Combining this scheme with quantum-mechanical total-energy calculations, the ground-state structures of fullerenes ranging from C 20 to C 100 have been studied. Fullerenes of sizes 60, 70, and 84 are found to be energetically more stable than their neighbors. In addition to the energies, the fragmentation stability and the chemical reactivity of the clusters are shown to be important in determining the abundance of fullerene isomers.

Classical and Quantum Mechanical Models of Many-Particle Systems

2013 ◽  
Vol 10 (4) ◽  
pp. 3305-3378
Author(s):  
Anton Arnold ◽  
Eric Carlen ◽  
Laurent Desvillettes
Keyword(s):  
Particle Systems ◽  
Quantum Mechanical ◽  
Mechanical Models

Classical and Quantum Mechanical Models of Many-Particle Systems

2010 ◽  
pp. 3159-3236
Author(s):  
Anton Arnold ◽  
Eric Carlen ◽  
Laurent Desvillettes
Keyword(s):  
Particle Systems ◽  
Quantum Mechanical ◽  
Mechanical Models
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