Path integral evaluation of the Bloch density matrix for an oscillator in a magnetic field

1986 ◽  
Vol 19 (15) ◽  
pp. 3013-3016 ◽  
Author(s):  
J M Manoyan
Keyword(s):  
Magnetic Field ◽  
Density Matrix ◽  
Path Integral ◽  
Integral Evaluation

Path integral for spinning particle in magnetic field via bosonic coherent states

1995 ◽  
Vol 36 (4) ◽  
pp. 1602-1615 ◽  
Author(s):  
T. Boudjedaa ◽  
A. Bounames ◽  
L. Chetouani ◽  
T. F. Hammann ◽  
Kh. Nouicer
Keyword(s):  
Magnetic Field ◽  
Path Integral ◽  
Coherent States ◽  
Spinning Particle

On the Path Integral Evaluation of the S-Matrix for Noncentral Potentials

2020 ◽  
pp. 187-198
Author(s):  
M. V. Carpio-bernido ◽  
E. B. Gravador ◽  
C. C. Bernido
Keyword(s):  
Path Integral ◽  
Integral Evaluation ◽  
S Matrix

scholarly journals The Chandrasekhar Mass of A Gravitating Electron Crystal

1994 ◽  
Vol 147 ◽  
pp. 565-570
Author(s):  
D. Engelhardt ◽  
I. Bues
Keyword(s):  
Magnetic Field ◽  
Density Matrix ◽  
White Dwarf ◽  
Matrix Formalism ◽  
Plasma Zone ◽  
Isothermal Model ◽  
Fermi Function ◽  
Density Matrix Formalism ◽  
The Magnetic Field ◽  
Electron Crystal

AbstractThe internal structure of a white dwarf may be changed by a strong magnetic field. A local model of the electrons is constructed within a thermal density matrix formalism, essentially a Heisenberg magnetism model. This results in a matrix Fermi function which is used to construct an isothermal model of the electron crystal. The central density of the crystal is 108kg/m3 independent of the magnetic field within the plasma and therefore lower than the relativistic density, whereas this density is constant until the Fermi momentum x f = 0.3 * me * c. Chandrasekhar masses up to 1.44 * 1.4M0 are possible for polarizations of the plasma zone lower than 0.5, if the temperature is close to the Curie point, whereas the crystal itself destabilizes the white dwarf dependent on temperature.

scholarly journals Path Integrals, Spontaneous Localisation, and the Classical Limit

2020 ◽  
Vol 75 (2) ◽  
pp. 131-141 ◽  
Author(s):  
Bhavya Bhatt ◽  
Manish Ram Chander ◽  
Raj Patil ◽  
Ruchira Mishra ◽  
Shlok Nahar ◽  
...  
Keyword(s):  
Quantum Mechanics ◽  
Density Matrix ◽  
Path Integral ◽  
Classical Limit ◽  
Measurement Problem ◽  
Path Integrals ◽  
Path Integral Formulation ◽  
Von Neumann ◽  
Matrix Evolution ◽  
Grw Model

AbstractThe measurement problem and the absence of macroscopic superposition are two foundational problems of quantum mechanics today. One possible solution is to consider the Ghirardi–Rimini–Weber (GRW) model of spontaneous localisation. Here, we describe how spontaneous localisation modifies the path integral formulation of density matrix evolution in quantum mechanics. We provide two new pedagogical derivations of the GRW propagator. We then show how the von Neumann equation and the Liouville equation for the density matrix arise in the quantum and classical limit, respectively, from the GRW path integral.

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