Question related to functional analysis
I am interested in studying functional analysis and I am wondering what sort of practical applications the field has and what, if any, career paths might require functional analysis. Thank you!
functional-analysis
add a comment |
I am interested in studying functional analysis and I am wondering what sort of practical applications the field has and what, if any, career paths might require functional analysis. Thank you!
functional-analysis
add a comment |
I am interested in studying functional analysis and I am wondering what sort of practical applications the field has and what, if any, career paths might require functional analysis. Thank you!
functional-analysis
I am interested in studying functional analysis and I am wondering what sort of practical applications the field has and what, if any, career paths might require functional analysis. Thank you!
functional-analysis
functional-analysis
asked Nov 20 at 14:44
D.M.
61
61
add a comment |
add a comment |
1 Answer
1
active
oldest
votes
Welcome to MSE! Hilbert spaces are a vital part of functional analysis which in turn are the basis of quantum mechanics and quantum computing.
1
Wouldn't finite dimensional Hilbert spaces be enough for quantum computing, since you only have a finite number of qbits? Then you could argue whether functional analysis is necessary for this case.
– supinf
Nov 20 at 15:06
Right. At least you have unitary transformations.
– Wuestenfux
Nov 20 at 15:25
add a comment |
Your Answer
StackExchange.ifUsing("editor", function () {
return StackExchange.using("mathjaxEditing", function () {
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
});
});
}, "mathjax-editing");
StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "69"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);
StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});
function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});
}
});
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3006392%2fquestion-related-to-functional-analysis%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
Welcome to MSE! Hilbert spaces are a vital part of functional analysis which in turn are the basis of quantum mechanics and quantum computing.
1
Wouldn't finite dimensional Hilbert spaces be enough for quantum computing, since you only have a finite number of qbits? Then you could argue whether functional analysis is necessary for this case.
– supinf
Nov 20 at 15:06
Right. At least you have unitary transformations.
– Wuestenfux
Nov 20 at 15:25
add a comment |
Welcome to MSE! Hilbert spaces are a vital part of functional analysis which in turn are the basis of quantum mechanics and quantum computing.
1
Wouldn't finite dimensional Hilbert spaces be enough for quantum computing, since you only have a finite number of qbits? Then you could argue whether functional analysis is necessary for this case.
– supinf
Nov 20 at 15:06
Right. At least you have unitary transformations.
– Wuestenfux
Nov 20 at 15:25
add a comment |
Welcome to MSE! Hilbert spaces are a vital part of functional analysis which in turn are the basis of quantum mechanics and quantum computing.
Welcome to MSE! Hilbert spaces are a vital part of functional analysis which in turn are the basis of quantum mechanics and quantum computing.
answered Nov 20 at 15:00
Wuestenfux
3,3211411
3,3211411
1
Wouldn't finite dimensional Hilbert spaces be enough for quantum computing, since you only have a finite number of qbits? Then you could argue whether functional analysis is necessary for this case.
– supinf
Nov 20 at 15:06
Right. At least you have unitary transformations.
– Wuestenfux
Nov 20 at 15:25
add a comment |
1
Wouldn't finite dimensional Hilbert spaces be enough for quantum computing, since you only have a finite number of qbits? Then you could argue whether functional analysis is necessary for this case.
– supinf
Nov 20 at 15:06
Right. At least you have unitary transformations.
– Wuestenfux
Nov 20 at 15:25
1
1
Wouldn't finite dimensional Hilbert spaces be enough for quantum computing, since you only have a finite number of qbits? Then you could argue whether functional analysis is necessary for this case.
– supinf
Nov 20 at 15:06
Wouldn't finite dimensional Hilbert spaces be enough for quantum computing, since you only have a finite number of qbits? Then you could argue whether functional analysis is necessary for this case.
– supinf
Nov 20 at 15:06
Right. At least you have unitary transformations.
– Wuestenfux
Nov 20 at 15:25
Right. At least you have unitary transformations.
– Wuestenfux
Nov 20 at 15:25
add a comment |
Thanks for contributing an answer to Mathematics Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Some of your past answers have not been well-received, and you're in danger of being blocked from answering.
Please pay close attention to the following guidance:
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3006392%2fquestion-related-to-functional-analysis%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown