New approach for calculating the energy level of quantum harmonic oscillator with invariable energy gap

Optik ◽  
2014 ◽  
Vol 125 (9) ◽  
pp. 1997-1999
Author(s):  
Gang Ren ◽  
Jian-ming Du ◽  
Haijun Yu
Keyword(s):  
Energy Level ◽  
Harmonic Oscillator ◽  
Energy Gap ◽  
Quantum Harmonic Oscillator ◽  
New Approach

Quantum mechanics on (anti)-de Sitter background II: Ramsauer–Townsend effect and WKB method

2018 ◽  
Vol 33 (26) ◽  
pp. 1850150 ◽  
Author(s):  
Won Sang Chung ◽  
Hassan Hassanabadi
Keyword(s):  
Quantum Mechanics ◽  
Energy Level ◽  
Harmonic Oscillator ◽  
Wkb Method ◽  
De Sitter ◽  
Quantum Harmonic Oscillator ◽  
One Dimensional ◽  
Sitter Background ◽  
The One

Based on the one-dimensional quantum mechanics on (anti)-de Sitter background [W. S. Chung and H. Hassanabadi, Mod. Phys. Lett. A 32, 26 (2107)], we discuss the Ramsauer–Townsend effect. We also formulate the WKB method for the quantum mechanics on (anti)-de Sitter background to discuss the energy level of the quantum harmonic oscillator and quantum bouncer.

STUDY OF A RELATIVISTIC QUANTUM HARMONIC OSCILLATOR BY THE METHOD OF STATE-DEPENDENT DIAGONALIZATION

1996 ◽  
Vol 07 (05) ◽  
pp. 645-653
Author(s):  
H. C. LEE ◽  
K. L. LIU ◽  
C. F. LO
Keyword(s):  
Harmonic Oscillator ◽  
Relativistic Quantum ◽  
Quantum Harmonic Oscillator ◽  
Relativistic Limit ◽  
New Approach ◽  
Energy Eigenvalues ◽  
State Dependent ◽  
Anharmonic Potential ◽  
Relativistic Parameter ◽  
Special Case

We apply the method of State-dependent Diagonalization to study the eigenstates of the relativistic quantum harmonic oscillator in the low relativistic limit. The relativistic corrections of the energy eigenvalues of the quantum harmonic oscillator are evaluated for different values of the relativistic parameter α ≡ ħω0 / m0c2. Unlike the conventional exact diagonalization, this new method is shown to be very efficient for evaluating the energy eigenvalues and eigenfunctions. We have also found that for non-zero α the eigenfunctions of the system become more localized in space and that the ground state of the SHO (i.e., the α = 0 case) turns into a squeezed state. Furthermore, since our system is a special case of the quantum harmonic oscillator with a velocity-dependent anharmonic potential, this new approach should be very useful for investigating the cases with more complicated velocity-dependent anharmonic potentials.

scholarly journals Quadratic open quantum harmonic oscillator

2020 ◽  
Vol 110 (7) ◽  
pp. 1759-1782
Author(s):  
Ameur Dhahri ◽  
Franco Fagnola ◽  
Hyun Jae Yoo
Keyword(s):  
Harmonic Oscillator ◽  
Quantum Harmonic Oscillator ◽  
Open Quantum

scholarly journals The quantum harmonic oscillator as a Zariski geometry

2014 ◽  
Vol 165 (6) ◽  
pp. 1149-1168 ◽  
Author(s):  
Vinesh Solanki ◽  
Dmitry Sustretov ◽  
Boris Zilber
Keyword(s):  
Harmonic Oscillator ◽  
Quantum Harmonic Oscillator

scholarly journals Reading a Qubit Quantum State with a Quantum Meter: Time Unfolding of Quantum Darwinism and Quantum Information Flux

2019 ◽  
Vol 26 (04) ◽  
pp. 1950023
Author(s):  
Salvatore Lorenzo ◽  
Mauro Paternostro ◽  
G. Massimo Palma
Keyword(s):  
Quantum Information ◽  
Harmonic Oscillator ◽  
Quantum System ◽  
Quantum State ◽  
Common Theme ◽  
Quantum Harmonic Oscillator ◽  
Collision Model ◽  
Single Qubit ◽  
Quantum Darwinism

Quantum non-Markovianity and quantum Darwinism are two phenomena linked by a common theme: the flux of quantum information between a quantum system and the quantum environment it interacts with. In this work, making use of a quantum collision model, a formalism initiated by Sudarshan and his school, we will analyse the efficiency with which the information about a single qubit gained by a quantum harmonic oscillator, acting as a meter, is transferred to a bosonic environment. We will show how, in some regimes, such quantum information flux is inefficient, leading to the simultaneous emergence of non-Markovian and non-darwinistic behaviours.

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