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About 10,000 papers for “Wave function”

Wave Function Sketcher

<ns0:vcard>BEGIN:vCardVERSION:3.0ORG:Kansas State Physics Education Research GroupADR;TYPE=WORK,POSTAL,PARCEL:;;403 Cardwell Hall;Kansas State University;Manhattan;KS;66506;TEL;TYPE=Organization:+(785) 532-1612TEL;TYPE=:+TEL;TYPE=FAX:+(785) 532-6806EMAIL;TYPE=INTERNET,Organization:kim@phys.ksu.eduEMAIL;TYPE=INTERNET,:END:vCard</ns0:vcard>, <ns0:vcard>BEGIN:vCardVERSION:3.0FN:Dean A. ZollmanTITLE:ORG:Kansas State UniversityADR;TYPE=WORK,POSTAL,PARCEL:;;Department of Physics;116 Cardwell Hall;Manhattan;KS;66506-2601;USTEL;TYPE=Other:+785 532-1619TEL;TYPE=Department:+785-532-1612TEL;TYPE=FAX:+785 532-7167EMAIL;TYPE=INTERNET,:dzollman@phys.ksu.eduEMAIL;TYPE=INTERNET,:END:vCard</ns0:vcard>, <ns0:vcard>BEGIN:vCardVERSION:3.0FN:N. Sanjay RebelloTITLE:ORG:Purdue UniversityADR;TYPE=WORK,POSTAL,PARCEL:;;525 Northwestern Ave.;;West Lafayette;IN;47907;USTEL;TYPE=Office:+TEL;TYPE=:+TEL;TYPE=FAX:+EMAIL;TYPE=INTERNET,Work:EMAIL;TYPE=INTERNET,:END:vCard</ns0:vcard> · The Physics Video Demonstration Database (Cornell University)

This resource illustrates the construction of scattering state wavefunctions in one dimension for a piece-wise constant potential. A barrier or well can be created from two potential steps, that can be of different heights. Students are then asked to plot the electron wavefunction in this potential by changing its nature, amplitude, wavelength, and phase in the three different potential regions. A correct solution requires students to work through the problem using the parameters given.

Cited by 0

Wave Function Collapse

Dion Fryson · Zenodo (CERN European Organization for Nuclear Research) · 2025

Cited by 0Open access

The Wave Function

David Z. Albert, Alyssa Ney · Oxford University Press eBooks · 2013

This is a volume of original essays on the metaphysics of quantum mechanics. The essays address questions such as: What fundamental metaphysics is best motivated by quantum mechanics? What is the ontological status of the wave function? What is the nature of the fundamental space (or space-time manifold) of quantum mechanics?

Cited by 194

Wave Function Collapse

Dion Fryson · Zenodo (CERN European Organization for Nuclear Research) · 2025

Cited by 0Open access

The Wave Function

Series on the foundations of natural science and technology · 2025

Cited by 0

Wave Function Ontology

Monton, Bradley · PhilPapers (PhilPapers Foundation) · 2002

I argue that the wave function ontology for quantum mechanics is an undesirable ontology. This ontology holds that the fundamental space in which entities evolve is not three-dimensional, but instead 3N-dimensional, where N is the number of particles standardly thought to exist in three-dimensional space. I show that the state of three-dimensional objects does not supervene on the state of objects in 3N-dimensional space. I also show that the only way to guarantee the existence of the appropriate mental states in the wave function ontology has undesirable metaphysical baggage: either mind/body dualism is true, or circumstances which we take to be logically possible turn out to be logically impossible. “While our theory can be extended formally in a logically consistent way by introducing the concept of a wave in a 3N-dimensional space, it is evident that this procedure is not really acceptable in a physical theory... ” (Bohm 1957, 117)

Cited by 3

Wave-function functionals

Xiao‐Yin Pan, Marlina Slamet, Viraht Sahni · Physical Review A · 2010

We extend our prior work on the construction of variational wave functions $\ensuremath{\psi}$ that are functionals of functions $\ensuremath{\chi}:\ensuremath{\psi}=\ensuremath{\psi}[\ensuremath{\chi}]$ rather than simply being functions. In this manner, the space of variations is expanded over those of traditional variational wave functions. In this article we perform the constrained search over the functions $\ensuremath{\chi}$ chosen such that the functional $\ensuremath{\psi}[\ensuremath{\chi}]$ satisfies simultaneously the constraints of normalization and the exact expectation value of an arbitrary single- or two-particle Hermitian operator, while also leading to a rigorous upper bound to the energy. As such the wave function functional is accurate not only in the region of space in which the principal contributions to the energy arise but also in the other region of the space represented by the Hermitian operator. To demonstrate the efficacy of these ideas, we apply such a constrained search to the ground state of the negative ion of atomic hydrogen ${\mathrm{H}}^{\ensuremath{-}}$, the helium atom He, and its positive ions Li${}^{+}$ and Be${}^{2+}$. The operators $W$ whose expectations are obtained exactly are the sum of the single-particle operators $W={\ensuremath{\sum}}_{i}{r}_{i}^{n},n=\ensuremath{-}2,\ensuremath{-}1,1,2$, $W={\ensuremath{\sum}}_{i}\ensuremath{\delta}({\mathbf{r}}_{i})$, $W=\ensuremath{-}\frac{1}{2}{\ensuremath{\sum}}_{i}{\ensuremath{\nabla}}_{i}^{2}$, and the two-particle operators $W={\ensuremath{\sum}}_{n}{u}^{n},n=\ensuremath{-}2,\ensuremath{-}1,1,2$, where $u=|{\mathbf{r}}_{i}\ensuremath{-}{\mathbf{r}}_{j}|$. Comparisons with the method of Lagrangian multipliers and of other constructions of wave-function functionals are made. Finally, we present further insights into the construction of wave-function functionals by studying a previously proposed construction of functionals $\ensuremath{\psi}[\ensuremath{\chi}]$ that lead to the exact expectation of arbitrary Hermitian operators. We discover that analogous to the solutions of the Schr\"odinger equation, there exist $\ensuremath{\psi}[\ensuremath{\chi}]$ that are unphysical in that they lead to singular values for the expectations. We also explain the origin of the singularity.

Cited by 5

Wave function discord

Alexander Vilenkin · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · 1998

Linde's proposal of a Euclidean path integral with the ``wrong'' sign of Euclidean action is often identified with the tunneling proposal for the wave function of the universe. However, the two proposals are in fact quite different. I illustrate the difference and point out that the recent criticism by Hawking and Turok does not apply to the tunneling proposal.

Cited by 65Open access

The Wave Function

Sølve Selstø · Cambridge University Press eBooks · 2024

This concise textbook introduces an innovative computational approach to quantum mechanics. Over the course of this engaging and informal book, students are encouraged to take an active role in learning key concepts by working through practical exercises. The book equips readers with some basic methodology and a toolbox of scientific computing methods, so they can use code to simulate and directly visualize how quantum particles behave. The important foundational elements of the wave function and the Schrödinger equation are first introduced, then the text gradually builds up to advanced topics including relativistic, open, and non-Hermitian quantum physics. This book assumes familiarity with basic mathematics and numerical methods, and can be used to support a two-semester advanced undergraduate course. Source code and solutions for every book exercise involving numerical implementation are provided in Python and MATLAB®, along with supplementary data. Additional problems are provided online for instructor use with locked solutions.

Cited by 0

Wave Function Sketcher

<vcard>BEGIN:vCard\VERSION:3.0\ORG:Kansas State Physics Education Research Group\ADR;TYPE=WORK,POSTAL,PARCEL:;;403 Cardwell Hall;Kansas State University;Manhattan;KS;66506;\TEL;TYPE=Organization:+(785) 532-1612\TEL;TYPE=:+\TEL;TYPE=FAX:+(785) 532-6806\EMAIL;TYPE=INTERNET,Organization:kim@phys.ksu.edu\EMAIL;TYPE=INTERNET,:\END:vCard</vcard>, <vcard>BEGIN:vCard\VERSION:3.0\FN:Dean A. Zollman\TITLE:\ORG:Kansas State University\ADR;TYPE=WORK,POSTAL,PARCEL:;;Department of Physics;116 Cardwell Hall;Manhattan;KS;66506-2601;US\TEL;TYPE=Other:+785 532-1619\TEL;TYPE=Department:+785-532-1612\TEL;TYPE=FAX:+785 532-7167\EMAIL;TYPE=INTERNET,:dzollman@phys.ksu.edu\EMAIL;TYPE=INTERNET,:\END:vCard</vcard>, <vcard>BEGIN:vCard\VERSION:3.0\FN:N. Sanjay Rebello\TITLE:\ORG:Purdue University\ADR;TYPE=WORK,POSTAL,PARCEL:;;525 Northwestern Ave.;;West Lafayette;IN;47907;US\TEL;TYPE=Office:+\TEL;TYPE=:+\TEL;TYPE=FAX:+\EMAIL;TYPE=INTERNET,Work:\EMAIL;TYPE=INTERNET,:\END:vCard</vcard> · The Physics Video Demonstration Database (Cornell University)

Cited by 0