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

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

scholarly journals HIDDEN SCALE IN QUANTUM MECHANICS

2009 ◽  
Vol 24 (27) ◽  
pp. 2203-2211 ◽  
Author(s):  
PULAK RANJAN GIRI
Keyword(s):  
Wave Packet ◽  
Quantum Particle ◽  
Dimensional Space ◽  
Free Particle ◽  
Three Dimensional ◽  
Particle Systems ◽  
Quantum Mechanical ◽  
Scale Invariant ◽  
Mechanical Models ◽  
Three Dimensional Space

We show that the intriguing localization of a free particle wave-packet is possible due to a hidden scale present in the system. Self-adjoint extensions (SAE) is responsible for introducing this scale in quantum mechanical models through the nontrivial boundary conditions. We discuss a couple of classically scale invariant free particle systems to illustrate the issue. In this context it has been shown that a free quantum particle moving on a full line may have localized wave-packet around the origin. As a generalization, it has also been shown that particles moving on a portion of a plane or on a portion of a three-dimensional space can have unusual localized wave-packet.

Classical and Quantum Mechanical Models of Many-Particle Systems

2018 ◽  
Vol 14 (4) ◽  
pp. 3345-3425
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

2021 ◽  
Vol 17 (4) ◽  
pp. 1857-1902
Author(s):  
Eric Carlen ◽  
Klemens Fellner ◽  
Isabelle Gallagher ◽  
Pierre Emmanuel Jabin
Keyword(s):  
Particle Systems ◽  
Quantum Mechanical ◽  
Mechanical Models

scholarly journals Classical and Quantum Mechanical Models of Many-Particle Systems

2006 ◽  
pp. 3189-3258
Author(s):  
Anton Arnold ◽  
Carlo Cercignani ◽  
Laurent Desvillettes
Keyword(s):  
Particle Systems ◽  
Quantum Mechanical ◽  
Mechanical Models
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