Search results

{{Short description|Mathematical method in quantum-mechanics}} ...[[quantum-mechanical]] systems. Using the supersymmetric method, there are potentials <math>V(x)</math> that can be expressed in terms of a superpotential, <math ...

.../ref> (credited as G. Pöschl) and [[Edward Teller]], is a special class of potentials for which the one-dimensional [[Schrödinger equation]] can be solved in ter ...of integer <math>\lambda</math>, the potential is reflectionless and such potentials also arise as the N-soliton solutions of the [[Korteweg–De Vries equation]] ...

{{Short description|Number specifying how a quantum operator changes under dilations}} ...lation (affine geometry)|dilations]] <math>x\to \lambda x</math>. If the [[quantum field theory]] is [[Scale invariance|scale invariant]], scaling dimensions ...

...me field equations which communicate (in the sense of [[Quantum tunnelling|quantum tunneling]]) between two turning points in the barrier of a potential and a ...st1=J.-Q.|last2=Müller-Kirsten|first2=H. J. W.|title=Nonvacuum bounces and quantum tunneling at finite energy|journal=Physical Review D|volume=50|issue=10|yea ...

[[Category:Quantum mechanical potentials]] {{quantum-stub}} ...

...<math>v_{\mathfrak D}</math> can be identified as an effective vibrational quantum number at dissociation. ...ry between the region where electron exchange ([[Quantum mechanics|quantum-mechanical]]) terms are prominent, and the region where atoms and molecules approximat ...

In [[quantum electrodynamics]], the '''Uehling potential''' describes the interaction po }}</ref><ref>{{Cite book|title = Quantum Field Theory and the Standard Model |last = Schwartz|first = M. D.|publishe ...

...can be considered a classical analogue of the [[quantum mechanics|quantum mechanical]] [[Aharonov–Bohm effect]], where instead the field is exactly static insid ...|year=2008|title=The Maxwell-Lodge effect: significance of electromagnetic potentials in the classical theory|journal=The European Physical Journal D|volume=49|i ...

...od to account for the [[Color confinement|confinement]] of [[quarks]] in [[quantum chromodynamics]] (QCD). It was developed by [[Estia J. Eichten]], [[Kurt G ...but with the development of QCD can now be calculated using [[Perturbative quantum chromodynamics|perturbative QCD]] and [[lattice QCD]], respectively. ...

...artic]] potentials of considerable interest in [[quantum mechanics]], in [[quantum field theory]] and elsewhere for the exploration of various physical phenom ...2=Müller-Kirsten | first2=H. J. W. | title=Periodic instantons and quantum-mechanical tunneling at high energy | journal=Physical Review D | publisher=American P ...

...log of the well-known [[Aharonov–Bohm effect]], which is about the quantum mechanical behavior of particles in a classical [[electromagnetic field]]. .../ref> Without a theory of [[quantum gravity]], we cannot appeal to a fully quantum treatment of the test mass (atom), the sources of the gravitational field, ...

...s derived by combining [[Ab initio quantum chemistry methods|''ab initio'' quantum chemistry methods]] on small silica clusters to describe accurate interacti ...=Jürgen|last4=Kob|first4=Walter|date=2016-11-01|title=Developing empirical potentials from ab initio simulations: The case of amorphous silica|url=https://www.sc ...

===Quantum mechanics and quantum field theory=== * [[Knizhnik–Zamolodchikov equations]] in [[quantum field theory]] ...

...echanisms such as [[Surface reconstruction|reconstruction]] or relaxation, mechanical distortion, [[Charge-transfer complex|charge transfer]] and [[Chemisorption ...he specific case of a conductive boundary, the mutual screening of surface potentials by tip and surface lead to an exponential drop-off of the point spread func ...

{{Short description|Dissipation in quantum systems}} ...It shares many features with the subjects of [[quantum decoherence]] and [[quantum theory of measurement]]. ...

...sical thermodynamics]] and discusses advanced topics in both classical and quantum frameworks. It covers the subject in an abstract and rigorous manner and co ...ible processes, [[heat engine]]s, [[Thermodynamic potential|thermodynamics potentials]], [[Maxwell relations|Maxwell's relations]], [[stability of thermodynamics ...

{{Quantum mechanics}} This is a glossary for the terminology often encountered in undergraduate [[quantum mechanics]] courses. ...

{{Short description|Raising and lowering operators in quantum mechanics}} ...ns of ladder operators in quantum mechanics are in the formalisms of the [[quantum harmonic oscillator]] and [[angular momentum]]. ...

...e indirect part of the [[Coulomb energy]] of a [[Quantum Mechanics|quantum mechanical]] system. It is named after [[Elliott H. Lieb]] and [[Stephen Oxford]]. .... More specifically, {{math|''ρ''}} is defined as the [[expectation value (quantum mechanics)|expectation value]] of charge density at each point. But in this ...

...dent, [[Albert Einstein]] in 1907, employing [[Quantum harmonic oscillator|quantum harmonic oscillators]] to explain the experimentally observed decrease of t ...f the value predicted by Dulong–Petit. With the development of the quantum mechanical [[free electron model]] in 1927 by [[Arnold Sommerfeld]] the electronic con ...