Four-body correlation embedded in antisymmetrized geminal power wave function

In high resolution microscopy the image amplitude is given by the convolution of the specimen exit surface wave function and the microscope objective lens transfer function. This is usually done by multiplying the wave function and the transfer function in reciprocal space and integrating over the effective aperture. For very thin specimens the scattering can be represented by a weak phase object and the amplitude observed in the image plane is1where fe (Θ) is the electron scattering factor, r is a postition variable, Θ a scattering angle and x(Θ) the lens transfer function. x(Θ) is given by2where Cs is the objective lens spherical aberration coefficient, the wavelength, and f the defocus.We shall consider one dimensional scattering that might arise from a cross sectional specimen containing disordered planes of a heavy element stacked in a regular sequence among planes of lighter elements. In a direction parallel to the disordered planes there will be a continuous distribution of scattering angle.

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Atomic Imaging of Crystals using Large-Angle Electron Scattering in STEM

Proceedings, annual meeting, Electron Microscopy Society of America ◽

10.1017/s0424820100179129 ◽

1990 ◽

Vol 48 (1) ◽

pp. 74-75

Author(s):

D.E. Jesson ◽

S. J. Pennycook

Keyword(s):

Wave Function ◽

Electron Scattering ◽

Numerical Solutions ◽

Large Angle ◽

Real Space ◽

High Angle ◽

Analytical Treatment ◽

Order Zero ◽

Experimental Conditions ◽

Ewald Sphere

It is well known that conventional atomic resolution electron microscopy is a coherent imaging process best interpreted in reciprocal space using contrast transfer function theory. This is because the equivalent real space interpretation involving a convolution between the exit face wave function and the instrumental response is difficult to visualize. Furthermore, the crystal wave function is not simply related to the projected crystal potential, except under a very restrictive set of experimental conditions, making image simulation an essential part of image interpretation. In this paper we present a different conceptual approach to the atomic imaging of crystals based on incoherent imaging theory. Using a real-space analysis of electron scattering to a high-angle annular detector, it is shown how the STEM imaging process can be partitioned into components parallel and perpendicular to the relevant low index zone-axis.It has become customary to describe STEM imaging using the analytical treatment developed by Cowley. However, the convenient assumption of a phase object (which neglects the curvature of the Ewald sphere) fails rapidly for large scattering angles, even in very thin crystals. Thus, to avoid unpredictive numerical solutions, it would seem more appropriate to apply pseudo-kinematic theory to the treatment of the weak high angle signal. Diffraction to medium order zero-layer reflections is most important compared with thermal diffuse scattering in very thin crystals (<5nm). The electron wave function ψ(R,z) at a depth z and transverse coordinate R due to a phase aberrated surface probe function P(R-RO) located at RO is then well described by the channeling approximation;

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Vector wave function expansions of dyadic Green's functions for bianisotropic media

IEE Proceedings - Microwaves Antennas and Propagation ◽

10.1049/ip-map:20020292 ◽

2002 ◽

Vol 149 (1) ◽

pp. 57-63 ◽

Cited By ~ 7

Author(s):

E.L. Tan

Keyword(s):

Wave Function ◽

Green's Functions ◽

Green’S Functions ◽

Vector Wave ◽

Vector Wave Function ◽

Dyadic Green’S Functions ◽

Dyadic Green's Functions

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DEUTERON: WAVE FUNCTION AND PARAMETERS

Scientific Herald of Uzhhorod University Series Physics ◽

10.24144/2415-8038.2014.36.100-106 ◽

2014 ◽

Vol 36 (0) ◽

pp. 100-106 ◽

Cited By ~ 3

Author(s):

І. І. Гайсак ◽

В. І. Жаба

Keyword(s):

Wave Function ◽

Deuteron Wave Function

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Operators and meaning of wave function

JOURNAL OF ADVANCES IN PHYSICS ◽

10.24297/jap.v11i8.216 ◽

2016 ◽

pp. 4039-4042

Author(s):

Viliam Malcher

Keyword(s):

Wave Function ◽

Quantum Theory ◽

State Vector ◽

The State ◽

Physical Significance ◽

Central Problem ◽

Quantum Mechanical ◽

Mechanical Description ◽

Quantum Mechanical Description ◽

Interpretation Of Quantum Theory

The interpretation problems of quantum theory are considered. In the formalism of quantum theory the possible states of a system are described by a state vector. The state vector, which will be represented as |Ïˆ> in Dirac notation, is the most general form of the quantum mechanical description. The central problem of the interpretation of quantum theory is to explain the physical significance of the |Ïˆ>. In this paper we have shown that one of the best way to make of interpretation of wave function is to take the wave function as an operator.

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