Energy quantization

2007 ◽  
pp. 65-86
Keyword(s):  
Energy Quantization

scholarly journals Reality of the Wigner Functions and Quantization

2009 ◽  
Vol 2009 ◽  
pp. 1-5 ◽  
Author(s):  
Sadollah Nasiri ◽  
Samira Bahrami
Keyword(s):  
Phase Space ◽  
Quantum Statistical Mechanics ◽  
Direct Consequence ◽  
Extended Phase Space ◽  
Extended Phase ◽  
Reality Condition ◽  
Energy Quantization ◽  
Extended Action ◽  
Space Formulation ◽  
Quantum Statistical

Here we use the extended phase space formulation of quantum statistical mechanics proposed in an earlier work to define an extended lagrangian for Wigner's functions (WFs). The extended action defined by this lagrangian is a function of ordinary phase space variables. The reality condition of WFs is employed to quantize the extended action. The energy quantization is obtained as a direct consequence of the quantized action. The technique is applied to find the energy states of harmonic oscillator, particle in the box, and hydrogen atom as the illustrative examples.

scholarly journals Controlling photoionization using attosecond time-slit interferences

2020 ◽  
Vol 117 (20) ◽  
pp. 10727-10732
Author(s):  
Yu-Chen Cheng ◽  
Sara Mikaelsson ◽  
Saikat Nandi ◽  
Lisa Rämisch ◽  
Chen Guo ◽  
...  
Keyword(s):  
Photoelectric Effect ◽  
High Energy ◽  
Quantum Systems ◽  
Optical Pulses ◽  
Energy Quantization ◽  
Parity Conservation ◽  
Small Quantum ◽  
Matter Interaction ◽  
Attosecond Pulses ◽  
Light Matter Interaction

When small quantum systems, atoms or molecules, absorb a high-energy photon, electrons are emitted with a well-defined energy and a highly symmetric angular distribution, ruled by energy quantization and parity conservation. These rules are based on approximations and symmetries which may break down when atoms are exposed to ultrashort and intense optical pulses. This raises the question of their universality for the simplest case of the photoelectric effect. Here we investigate photoionization of helium by a sequence of attosecond pulses in the presence of a weak infrared laser field. We continuously control the energy of the photoelectrons and introduce an asymmetry in their emission direction, at variance with the idealized rules mentioned above. This control, made possible by the extreme temporal confinement of the light–matter interaction, opens a road in attosecond science, namely, the manipulation of ultrafast processes with a tailored sequence of attosecond pulses.

scholarly journals Mean curvature versus diameter and energy quantization

2019 ◽  
Vol 44 (2) ◽  
pp. 291-297
Author(s):  
Yasha Savelyev
Keyword(s):  
Mean Curvature ◽  
Energy Quantization

scholarly journals Interplay of topology and quantization: topological energy quantization in a cavity

2003 ◽  
Vol 310 (5-6) ◽  
pp. 434-444 ◽  
Author(s):  
Antonio F. Rañada
Keyword(s):  
Energy Quantization

scholarly journals Area theorem and energy quantization for dissipative optical solitons

2010 ◽  
Vol 27 (10) ◽  
pp. 1978 ◽  
Author(s):  
William H. Renninger ◽  
Andy Chong ◽  
Frank W. Wise
Keyword(s):  
Optical Solitons ◽  
Area Theorem ◽  
Energy Quantization

ENERGY QUANTIZATION ON THE CURRENT-VOLTAGE CHARACTERISTIC OF NANOSCALE TWO-DIMENSIONAL MOSFET

2013 ◽  
Vol 27 (17) ◽  
pp. 1350077 ◽  
Author(s):  
ENG SIEW KANG ◽  
MUHAMMAD TAGHI AHMADI ◽  
SOHAIL ANWAR ◽  
RAZALI ISMAIL
Keyword(s):  
Quantum Confinement ◽  
Voltage Characteristic ◽  
Two Dimensional ◽  
Carrier Distribution ◽  
Current Voltage Characteristic ◽  
Velocity Saturation ◽  
Energy Quantization ◽  
Current Saturation ◽  
Current Voltage ◽  
Good Agreement

The current-voltage characteristic for nanoscale MOSFET is presented based to the velocity saturation and quantum confinement. It has been clarified that the drain velocity which is saturated with an increased drain voltage limits the onset of the current saturation. In the presence of high electric field, the motion of the velocity saturation that is randomly oriented in the equilibrium becomes streamlined and unidirectional. The model presents the current-voltage characteristic from the drift-diffusion regime to the ballistic regime with the presence of the quantum confinement on the charge carrier distribution and the energy quantization. The obtained results are considered in the modeling of the current-voltage characteristics of nanoscale two-dimensional MOSFET and show good agreement with the experimental data without using any artificial parameters.

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