New method for studying disordered quantum systems

H. G. Schuster; V. R. Vieira

doi:10.1103/physrevb.34.189

N-TH ROOT OF HERMITE MATRIX AND ITS APPLICATION IN QUANTUM SYSTEMS

Modern Physics Letters B ◽

10.1142/s0217984913501595 ◽

2013 ◽

Vol 27 (22) ◽

pp. 1350159

Author(s):

SHI-MIN XU ◽

XING-LEI XU ◽

FENG JIANG ◽

HONG-QI LI

Keyword(s):

Quantum Mechanics ◽

Quantum Optics ◽

Hermitian Matrix ◽

Quantum Systems ◽

New Method ◽

Transformation Behavior ◽

Mathematical Methods ◽

Quadratic Hamiltonians ◽

Hermite Matrix ◽

Quantum Operators

In this paper, the n-th root of a matrix is defined, and the explicit form of n-th root of an Hermitian matrix is given. A new method for diagonalizing quadratic Hamiltonians is proposed. Also, a class of quantum operators is induced by the linear transformation in configuration space, and its unitary properties and transformation behavior are studied. Our new method based on n-th root of matrices can develop the mathematical methods of quantum mechanics and quantum optics, and can also be applied to engineering, quantum optics and quantum fields states with squeezing properties, as well as the binomial field states.

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A new method for determining excited states of quantum systems

Il Nuovo Cimento D ◽

10.1007/bf02456910 ◽

1993 ◽

Vol 15 (2-3) ◽

pp. 269-277 ◽

Cited By ~ 15

Author(s):

G. Grosso ◽

L. Martinelli ◽

G. Pastori Parravicini

Keyword(s):

Excited States ◽

Quantum Systems ◽

New Method

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Selective Sampling and Orientation of Non-Homogeneous Tissues

Proceedings, annual meeting, Electron Microscopy Society of America ◽

10.1017/s0424820100100238 ◽

1968 ◽

Vol 26 ◽

pp. 98-99

Author(s):

C. C. Clawson ◽

L. W. Anderson ◽

R. A. Good

Keyword(s):

Electron Microscopy ◽

Electron Microscope ◽

Light Microscopy ◽

Random Sampling ◽

New Method ◽

Microscope Examination ◽

Small Areas ◽

Selective Sampling ◽

Large Numbers ◽

Specific Orientation

Investigations which require electron microscope examination of a few specific areas of non-homogeneous tissues make random sampling of small blocks an inefficient and unrewarding procedure. Therefore, several investigators have devised methods which allow obtaining sample blocks for electron microscopy from region of tissue previously identified by light microscopy of present here techniques which make possible: 1) sampling tissue for electron microscopy from selected areas previously identified by light microscopy of relatively large pieces of tissue; 2) dehydration and embedding large numbers of individually identified blocks while keeping each one separate; 3) a new method of maintaining specific orientation of blocks during embedding; 4) special light microscopic staining or fluorescent procedures and electron microscopy on immediately adjacent small areas of tissue.

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