Illustrating gauge invariance in quantum mechanics through the free electron in a uniform time‐varying electric field

1981 ◽  
Vol 49 (8) ◽  
pp. 738-744 ◽  
Author(s):  
C. Leubner
Keyword(s):  
Quantum Mechanics ◽  
Electric Field ◽  
Gauge Invariance ◽  
Free Electron ◽  
Time Varying

scholarly journals All-optical single shot complete electric field measurement of extreme ultraviolet free electron laser pulses

Optica ◽  
2021 ◽  
Author(s):  
William Peters ◽  
Travis Jones ◽  
Anatoly Efimov ◽  
Emanuele Pedersoli ◽  
Laura Foglia ◽  
...  
Keyword(s):  
Electric Field ◽  
Free Electron ◽  
Field Measurement ◽  
Free Electron Laser ◽  
Extreme Ultraviolet ◽  
Laser Pulses ◽  
Single Shot ◽  
Electric Field Measurement ◽  
All Optical

scholarly journals Unconventional reconciliation path for quantum mechanics and general relativity

2020 ◽  
Author(s):  
Samuel Yuguru
Keyword(s):  
General Relativity ◽  
Quantum Mechanics ◽  
Electric Field ◽  
Wave Diffraction ◽  
Electron Wave ◽  
Present Stage ◽  
Alternative Path ◽  
Gedanken Experiment ◽  
Conventional Methods ◽  
Reconciliation Process

Abstract Physics in general is successfully governed by quantum mechanics at the microscale and principles of relativity at the macroscale. Any attempts to unify them using conventional methods have somewhat remained elusive for nearly a century up to the present stage. Here in this study, a classical gedanken experiment of an electron-wave diffraction of a single slit is intuitively examined for its quantized states. A unidirectional monopole field as quanta of the electric field is pictorially conceptualized. Its application towards quantum mechanics and general relativity in consistent with existing knowledge in physics paves an alternative path towards their reconciliation process by assuming a multiverse at a hierarchy of scales. Such an outcome provides an approximate intuitive guide to pursue physics in general from alternative perspectives using conventional methods.

scholarly journals Dimensional Enhancement via Supersymmetry

2011 ◽  
Vol 2011 ◽  
pp. 1-45 ◽  
Author(s):  
M. G. Faux ◽  
K. M. Iga ◽  
G. D. Landweber
Keyword(s):  
Quantum Mechanics ◽  
Representation Theory ◽  
Gauge Invariance ◽  
Extra Dimensions ◽  
Field Theories ◽  
Consistency Test ◽  
One Dimensional ◽  
Supersymmetric Field Theories ◽  
Higher Dimensional ◽  
Supersymmetric Models

We explain how the representation theory associated with supersymmetry in diverse dimensions is encoded within the representation theory of supersymmetry in one time-like dimension. This is enabled by algebraic criteria, derived, exhibited, and utilized in this paper, which indicate which subset of one-dimensional supersymmetric models describes “shadows” of higher-dimensional models. This formalism delineates that minority of one-dimensional supersymmetric models which can “enhance” to accommodate extra dimensions. As a consistency test, we use our formalism to reproduce well-known conclusions about supersymmetric field theories using one-dimensional reasoning exclusively. And we introduce the notion of “phantoms” which usefully accommodate higher-dimensional gauge invariance in the context of shadow multiplets in supersymmetric quantum mechanics.

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